# Big Ideas Math Answers Grade 4 Chapter 1 Place Value – Detailed Concepts

## Big Ideas Math Book 4th Grade Chapter 1 Place Value Concepts Answer Key

Help your students strengthen their knowledge by practicing all the Chapter 1 Place Value Concepts. All the questions and answers are explained with images, graphs for easy understanding of students. Do all the given activities and check your answers to test your knowledge. Students can easily promote to the next grade by practicing with the Big Ideas 4th Grade Answer Key.

Lesson 1: Understand Place Value

Lesson 2: Read and Write Multi-Digit Numbers

Lesson 3: Compare Multi-Digit Numbers

Lesson 4: Round Multi-Digit Numbers

### Lesson 1.1 Understand Place Value

Explore and Grow

Model the number. Draw to show your model. Then write the value of each digit.

Explanation: Every Digit in a number has a place value according to the position of a Digit. We define the place value of a digit by considering the Rightmost digit’s position as “1’s place.” After 1’s place, 10’s place, 100’s place, and so on.

As per the Explanation,
The Position Value of ‘1’ is: 1000
The position value of ‘2’ is: 200
The position value of ‘7’ is: 70
The position value of ‘5’ is: 5

The position value of ‘3’ is: 3000
The position value of ‘3’ is: 300
The position value of ‘3’ is: 30
The position value of ‘3’ is: 3

Repeated Reasoning
Compare the value of the tens digit to the value of the ones digit. Then do the same with the hundreds and tens digits, and the thousands and hundred’s digits. What do you notice?

Answer:  When we compare the ten’s digit to the value of one’s digit, we can notice that we got the 10’s digit by multiplying ’10’ to the 1’s digit. For comparison of 100’s and 1000’s digit also, we will get 100’s digit is “10 Times” of the 1000’s digit.

Think and Grow: Understand Place Value

A place value chart shows the value of each digit in a number.

The value of each place is 10 times the value of the place to the right.

The place value chart shows how the place values are grouped.

Each group is called a period. In a number, periods are separated by commas.

Example

• The number, in standard form, is _______.

Explanation: The Position of each digit is defined in a number according to place value and we can count “place-value” up to “lakhs ” starting from “1’s place” from the Rightmost position and count from thereon.

• The value of the digit 7 is 7 ten thousand or ______.

Explanation: The Position of each digit is defined in a number according to place value and we can count “place-value” up to “lakhs ” starting from “1’s place” from the Rightmost position and count from thereon.

• The value of the digit 4 in the hundreds place is ______.

Explanation: The Position of each digit is defined in a number according to place value and we can count “place-value” up to “lakhs ” starting from “1’s place” from the Rightmost position and count from thereon.

• The value of the digit 4 in the tens place is ______.

Explanation: The Position of each digit is defined in a number according to place value and we can count “place-value” up to “lakhs ” starting from “1’s place” from the Rightmost position and count from thereon.

• The value of the digit 4 in the hundreds place is ______ times the value of the digit 4 in the tens place.

Explanation: We know the value of ‘4’ in 100’s place: 400

We know the value of ‘4’ in 10’s place: 40

So, we can get ‘400’ when we multiply ’40’ with its place value ’10’.

Show and Grow

Write the value of the underlined digit.

Question 1.

93,517

Answer: The place value of ‘5’ in ‘93,517’ is:  500

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘5’ in ‘93,517’ is:  500

Question 2.

685,726

Answer: The place value of ‘8’ in ‘6,85,26’ is :  80,000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the  place value of ‘8’ in ‘6,85,26’ is :  80,000

Question 3.

359,842

Answer: The place value of ‘9’ in ‘359,842’ is:  9000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘9’ in ‘359,842’ is:  9000

Question 4.

483,701

Answer: The place value of ‘4’ in ‘483,701’ is :  400,000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘4’ in ‘483,701’ is :  400,000

Compare the values of the underlined digits.

Question 5.

20 and 200

Answer: The value of ‘2’ in ‘200’ is 10 times the value of ‘2’ in ’20’.

Explanation: The position value of 2 in 200: 200

The position value of 2 in 20: 20

As we notice, the value of 2 in 20 is “10 Times” of the value of 2 in 200.

Question 6.

1,000 and 100

Answer: The value of ‘1’ in ‘100’ is 10 times the value of ‘1’ in ‘1000’.

Explanation: The position value of 1 in 1000: 1000

The position value of 1 in 100: 100

As we notice, the value of 1 in 100 is “10 Times” of the value of 1 in 1000.

Apply and Grow: Practice

Write the value of the underlined digit.

Question 7.

45,802

Answer: The place value of ‘2’ in ‘45,802’ is :  2

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘2’ in ‘45,802’ is :  2

Question 8.

97,361

Answer: The place value of ‘7’ in ‘97,361’ is :  7000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘7’ in ‘97,361’ is:  7000

Question 9.

168,392

Answer: The place value of ‘9’ in ‘168,392’ is:  90

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘9’ in ‘168,392’ is:  90

Question 10.

807,516

Answer: The place value of ‘8’ in ‘807,516’ is :  800,000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘8’ in ‘807,516’ is :  800,000

Question 11.

400,532

Answer: The place value of ‘5’ in ‘400,532’ is :  500

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘5’ in ‘400,532’ is:  500

Question 12.

749,263

Answer: The place value of ‘4’ in ‘749,263’ is :  40,000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘4’ in ‘749,263’ is :  40,000

Question 13.

619,457

Answer: The place value of ‘6’ in ‘619,457’ is :  600,000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘6’ in ‘619,457’ is :  600,000

Question 14.

301,882

Answer: The place value of ‘1’ in ‘301,882’ is :  1,000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘1’ in ‘301,882’ is :  1,000

Compare the values of the underlined digits.

Question 15.

4 and 47

Answer: The value of 4 in 47 is 10 times the value of 4 in 4.

Explanation: The position value of 4 in 47 is: 40

The position value of 4 in 4: 4

As we notice, the value of 4 in 47 is “10 Times” of the value of 4 in 4.

Question 16.

35,649 and 23,799

Answer: The value of 3 in 35,649 is 10 times the value of 3 in 23,799.

Explanation: The position value of 3 in 35,649 is: 30,000

The position value of 3 in 23,799: 3,000

As we notice, the value of 3 in 35,649 is 10 times the value of 3 in 23,799.

Question 17.

Your friend is 9 years old. Your neighbor is 90 years old. Your neighbor is how many times as old as your friend?

Answer: Given that your friend is 9 years old and your neighbor is 90 years old. From these two, we can conclude that the neighbor is 10 times the age of your friend.

Question 18.

YOU BE THE TEACHER

Is Newton correct? Explain.

Question 19.

Writing

Explain the relationship between the place values when the same two digits are next to each other in a multi-digit number.

Answer: We know that the place value of a Digit is dependent on the Position of the Digit in a given number. Hence, even those are the same numbers or different numbers placed next to each other, the preceding digit is 10 times the value of the former number.

Think and Grow: Modeling Real Life

Example

What is the value of the digit 3 in the distance around Saturn? in the distance around Jupiter? How do these values relate to each other?

Write each number in a place value chart.

Compare the values of the digit 3 in each number.

Answer: The value of ‘3’ in Jupiter: 30,000

The value of ‘3’ in Saturn: 300,000

So, we can say that the value of ‘3’ in Saturn is 10 times the value of 3 in Saturn.

Saturn: The value of the digit 3 is ______.

Explanation: As we can see, the value of 3 in Saturn is: 300,000

Jupiter: The value of the digit 3 is ______.

Explanation: As we can see, the value of 3 in Jupiter is: 30,000

The value of the digit 3 in the distance around Saturn is ______ times the value of the digit 3 in the distance around Jupiter.

Explanation: The value of ‘3’ in Jupiter: 30,000

The value of ‘3’ in Saturn: 300,000

So, we can say that the value of ‘3’ in Saturn is 10 times the value of 3 in Saturn.

Show and Grow

Use the table above.

Question 20.

The distance around which planet has an 8 in the thousands place?

Explanation: From the Table above, we see that the distance around Venus has ‘8’ in 1000’s place.

Question 21.

Compare the value of the 8s in the distance around Saturn.

Answer: The value of 1st 8 in Saturn: 800

The value of 2nd 8 in Saturn: 80

Explanation: From the above values, we can say that the value of 1st 8 is 10 times the value of 2nd 8 in Saturn.

Question 22.

What is the value of the digit 4 in the distance around Earth? in the distance around Neptune? How do these values relate to each other?

Answer: The value of 4 on Earth is 10 times the value of 4 in Neptune.

Explanation: The value of 4 on Earth is: 40,000

The value of 4 in Neptune is: 4,000

By comparing these two values, we can conclude that the value of 4 on Earth is 10 times the value of  4 in Neptune.

Question 23.
Compare the values of the first digits in the distances around Earth and Jupiter. Explain how you can use the values to compare the sizes of these two planets.

The value of the 1st digit in Jupiter is 10 times the value of the 1st digit on Earth.

Explanation:
The value of 4 on Earth is: 40,000
The value of 4 in Jupiter is: 400,000
From these 2 values, we can conclude that the value of the 1st digit in Jupiter is 10 times the value of the 1st digit on Earth.

### Understand Place Value Homework & Practice 1.1

Write the value of the underlined digit.

Question 1.

79,043

Answer: The place value of 4 in 79,043 is: 40

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 4 in 79,043 is: 40

Question 2.

52,618

Answer: The place value of 8 in 52,618 is: 8

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 8 in 52,618 is: 8

Question 3.

379,021

Answer: The place value of 9 in 379,021 is: 9000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 9 in 379,021 is: 9000

Question 4.

958,641

Answer: The place value of 6 in 958,641 is: 600

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 6 in 958,641 is: 600

Question 5.

203,557

Answer: The place value of 2 in 203,557 is: 200,000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 2 in 203,557 is: 200,000

Question 6.

145,860

Answer: The place value of 5 in 145,860 is: 5,000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 5 in 145,860 is: 5,000

Question 7.

497,384

Answer: The place value of 3 in 497,384 is: 300

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 3 in 497,384 is: 300

Question 8.

612,739

Answer: The place value of 1 in 612,739 is: 10,000

Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 1 in 612,739 is: 10,000

Compare the values of the underlined digits.

Question 9.

603 and 6,425

Answer: The value of 6 in 6,425 is 10 times the value of 6 in 603

Explanation: The value of 6 in 603 is: 600

The value of 6 in 6,425 is: 6,000

From these values, we can conclude that the value of 6 in 6,425 is 10 times the value of 6 in 603

Question 10.

930,157 and 89,216

Answer: The value of 9 in 930,157  is 100 times the value of 9 in 89,216

Explanation: The value of 9 in 930,157 is: 900,000

The value of 9 in 89,216 is: 9,000

From these values, we can conclude that the value of 9 in 930,157  is 100 times the value of 9 in 89,216.

Question 11.

A car can travel 50 miles per hour. A tsunami can travel 500 miles per hour. The tsunami is how many times faster than the car?

Answer: The Tsunami is 10 times faster than the car.

Explanation: Given that,

A car can travel 50 miles per hour

A tsunami can travel 500 miles per hour.

From these 2 values, we can conclude that the tsunami is 10 times faster than the car.

Question 12.

Number Sense

In the number 93,825, is the value in the ten thousand’s place 10 times the value in the thousands place? Explain.

Answer: Yes, the value in the ten thousand’s place is 10 times the value in the thousands place.

Explanation: The given number is 93,825.

But, we know how big is the number, the value in the ten thousand’s place is always 10 times the value in the thousands place.

Question 13.

Reasoning

Write the greatest number possible using each number card once. Then write the least six-digit number possible.

Answer: The Greatest 6-digit  number is: 986531

The least 6-digit number is: 135689

Explanation: Given digits are : 6 , 1 , 3 , 8 , 9 , 5

By using each digit only once,

The Greatest 6-digit  number is: 986531

The least 6-digit number is: 135689

Question 14.

Modeling Real Life

Use the table.

Question 14.

The height of which mountain has a 3 in the thousands place?

Explanation: From the given table, we can conclude that Mount Kinabalu has ‘3’ in the thousands place.

Question 15.

What is the value of the digit 5 in the height ht of K2? in the height of Mount Everest? How do these values relate to each other?

Answer: The value of the 5 in the height of K2 is: 50

The value of the 5 in the height of Mount. Everest is: 5

Hence,

The value of 5 in K2 is 10 times the value of 5 in Mount. Everest

Explanation: From the given table, we can conclude that

The value of the 5 in the height of K2 is: 50

The value of the 5 in the height of Mount. Everest is: 5

Hence,

The value of 5 in K2 is 10 times the value of 5 in Mount. Everest

Question 16.

The tallest mountain in the world is shown in the table. Which mountain is it?

Explanation: From the given table, the Tallest Mountain in the World is: Mount. Everest

Review & Refresh

Question 17.

Use the graph to answer the questions.

How many seconds did the Peach Street traffic light stay red?

How many more seconds did the Valley Road traffic light stays red than the Elm Street traffic light?

Answer: The time which the Peach Street traffic light stays red is: 55 seconds

The time which the Valley road traffic light stays red than the Elm Street traffic light is: 15 seconds

Explanation: Let us  consider, Half circle= 5 seconds

From the given graph,

The time which the Peach Street traffic light stays red is: 55 seconds

The time which the valley road traffic light stays red is: 35 seconds

The time which the Elm Street traffic light stays red is: 20 seconds

So,

The time which the Valley road traffic light stays red than the Elm Street traffic light is 15 seconds.

### Lesson 1.2 Read and Write Multi-Digit Numbers

Explore and Grow

Model each number. Draw to show your models. Then write each number a different way.

2,186

Answer: Word Form: Two Thousand, One hundred eighty-six

Expanded Form: 2,000 + 100 + 80 + 6

Explanation: We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the Given number is 2,186 which is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Five thousand, two hundred thirteen

Standard Form: 5,213

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the Given number is 5,213 which is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Expanded Form:

Answer: 5,000 + 200 + 10 + 3

Explanation: We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the Given number is Five thousand, two hundred thirteen which is in word Form. So, we have to write the given number in the remaining 2 forms.

3,000 + 600 + 90 + 4

Explanation: Now, the Given number is 3,000 + 600 + 90 + 4 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.

Word Form:

Answer: Three thousand, Six hundred ninety- four

Explanation: We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the Given number is 3,000 + 600 + 90 + 4  which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.

Structure

Model a different four-digit number. Write the number in many different ways as possible. Compare your work to your partner’s.

Answer: Consider a 4- digit number ” 9,836″

So, we can write “9,836” in:

Standard Form: 9,836

Word Form: Nine thousand, Eight hundred thirty-six

Expanded Form: 9,000 + 800 + 30 + 6

Explanation: We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 9,836 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Think and Grow: Read and Write Multi-Digit Numbers

Example

Write the number in standard form, word form, and expanded form.

Standard form:

Explanation: We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 427,561 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Word form:

Answer: Four hundred Twenty-seven thousand, five hundred sixty-one

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 427,561 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Expanded form: _____ + _______ + ______ + ______ + ______ + ______

Answer: 400,000 + 20,000 + 7,000 + 500 + 60 + 1

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 427,561 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Example

Use the place value chart to write the number below in standard form and expanded form.

Standard form:

Word form: fifty-four thousand, two

Expanded form: ____ + ______ + ______

Expanded Form: 50,000 + 4,000 + 0 + 0 +2

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is fifty-four thousand, two is in Word Form. So, we have to write the given number in the remaining 2 forms.

Show and Grow

Write the number in two other forms.

Question 1. 1

Standard form:

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 38,650 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Word form:

Answer: Thirty-eight thousand, six hundred and fifty

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 38,650 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Expanded form:
Answer: 30,000 + 8,000 + 600 + 50 + 0

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 38,650 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Question 2.

Standard form:

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 105,098 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Word form: one hundred five thousand, ninety-eight

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 105,098 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Expanded form:

Answer: 100,000 + 0 + 5,000 + 0 + 90 + 8

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 105,098 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Apply and Grow: Practice

Write the number in two other forms.

Question 3.

Standard form:

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 642,050 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Word form:

Answer: Six hundred forty- two thousand and fifty

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 642,050 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Expanded form:

Answer: 600,000 + 40,000 + 2,000 + 50

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 642,050 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Question 4.

Standard form:  134,078

Word form:

Answer: One hundred thirty-four thousand and seventy-eight

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 134,078 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Expanded form:

Answer:100,000 + 30,000 + 4,000 + 0 + 70 + 8

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 134,078 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Question 5.

Complete the table.

A) Given Word Form is: three thousand, four hundred ninety-seven

Standard Form: 3,497

Expanded Form: 3,000 + 400 + 90 + 7

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is three thousand, four hundred ninety-seven is in Word Form. So, we have to write the given number in the remaining 2 forms.

B) Given Expanded Form is: 50,000 + 2,000 + 400 + 80

Standard Form: 52,480

Word Form: Fifty-two thousand four hundred eighty

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 50,000 + 2,000 + 400 + 80 is in Expanded Form. So, we have to write the given number in the remaining 2 forms.

C) Given Standard Form is:  610,010

Word Form: Six hundred ten thousand, ten

Expanded Form: 600,000 + 10,000 + 0 + 10 + 0

Explanation:

We can write the given number in 3 forms. They are:

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number which is 610,010 is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Question 6.

YOU BE THE TEACHER

The fangtooth fish lives about 6,500 feet underwater. Newton reads this number as “six thousand five hundred.”Descartes reads the number as “sixty-five hundred.”Did they both read the number correctly? Explain.

Explanation:

The given number is “6,500”. Newton read it as “Six thousand five hundred” and Descartes read it as “Sixty-five hundred” because “One thousand is equal to 100 hundred”.

Question 7.

Which One Doesn’tBelong?

Which one not does belong with the other three?

eight hundred sixteen thousand, nine

800,000 + 10,000 + 6,000 + 900

816,009

Answer: The “Expanded Form” does not belong among the given three.

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given “period Table” can read as “816,009” and ‘9’ has the place-value of 1 but in the Expanded Form, ‘9’ has a place-value of 100.

Think and Grow: Modeling Real Life

Example

Morse code is a code in which numbers and letters are represented by a series of dots and dashes. Use the table to write the number in standard form, word form, and expanded form.

Standard form:

Word form:

Expanded form:

Show and Grow

Question 8.

Use the table above to write the number in standard form, word form, and expanded form.

Question 9.

Use the number 20,000 + 9,000 + 400 + 50 to complete the check.

Standard Form: 29,450

Word Form: Twenty-nine thousand four hundred fifty

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number is 20,000 + 9,000 + 400 + 50 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.

### Read and Write Multi-Digit Numbers Homework & Practice 1.2

Write the number in two other forms.

Question 1.

Standard form:

Word form:

Expanded form: 500,000 + 40,000 + 3,000 + 200 + 90 + 8

Word Form: Five hundred forty-three thousand, two hundred Ninety-eight

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number is 500,000 + 40,000 + 3,000 + 200 + 90 + 8  which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.

Question 2.

Standard form:

Word form: forty-eight thousand, six hundred three

Expanded form:

Expanded Form: 40,000 + 8,000 + 600 + 0 + 3

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number is forty-eight thousand, six hundred three which is in Word Form. So, we have to write the given number in the remaining 2 forms.

Question 3.

Complete the table.

A) 9,629

Word Form: Nine thousand, six hundred and twenty-nine

Expanded Form: 9,000 + 600 + 20 + 9

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number is 9,629 which is in Standard Form. So, we have to write the given number in the remaining 2 forms.

B) 30,000 + 7,000 + 800 + 2

Standard Form: 37,802

Word Form: Thirty-seven thousand, Eight hundred two

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number is 30,000 + 7,000 + 800 + 2 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.

C) four hundred sixteen thousand, eighty-seven

Standard Form: 416,087

Expanded Form: 400,000 + 16,000 + 0 + 80 + 7

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number is four hundred sixteen thousand, eighty-seven which is in Word Form. So, we have to write the given number in the remaining 2 forms.

Question 4.

Reasoning

Your teacher asks the class to write forty-two thousand, ninety-three in standard form. Which student wrote the correct number? What mistake did the other student make?

Explanation: The teacher asked Student A and B to write “forty-two thousand, ninety-three” in Standard form. That means ‘9’ must be in the tens place. But, Student A put the ‘9’ in the hundreds place whereas Student B put the ‘9’ in the tens place.

Question 5.

Logic

The number has two periods. The thousands period is written as six hundred eight thousand in word form. The one period is written as 600 + 80 in expanded form. What is the number?

Explanation: Given that the number has 2 periods. They are 1) The thousands period   2) The hundreds period

The given Thousands period is: Six hundred eight thousand ( Word Form)

The given Hundreds period is: 600 + 80 ( Expanded Form)

On combining the 2 periods, we get the number “608,680” in the Standard Form.

Question 6.

Modeling Real Life

Use the table to write the number in standard form, word form, and expanded form.

Question 7.

Modeling Real Life

Use the number 3,000 + 70 + 1 to complete the check.

Word Form: Three thousand, Seventy-one

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number is 3,000 + 70 + 1 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.

Review & Refresh

Compare

Question 8.

Answer: $$\frac{1}{6}$$ is less than $$\frac{2}{6}$$

Explanation:

$$\frac{1}{6}$$ = 0.1666

$$\frac{2}{6}$$ = 0.333

Hence, $$\frac{1}{6}$$ is less than $$\frac{2}{6}$$

Question 9.

Answer: $$\frac{2}{2}$$ is greater than $$\frac{2}{3}$$

Explanation:

$$\frac{2}{2}$$ = 1

$$\frac{2}{3}$$ = 0.666

Hence, $$\frac{2}{2}$$ is greater than $$\frac{2}{3}$$

Question 10.

Answer: $$\frac{1}{2}$$ is less than $$\frac{3}{4}$$

Explanation:

$$\frac{1}{2}$$ = 0.5

$$\frac{3}{4}$$ = 0.75

Hence, $$\frac{1}{2}$$ is less than $$\frac{3}{4}$$

Question 11.

Answer: $$\frac{1}{4}$$ is equal to $$\frac{2}{8}$$

Explanation:

$$\frac{1}{4}$$ = 0.25

$$\frac{2}{8}$$ = 0.25

Hence, $$\frac{1}{4}$$ is equal to $$\frac{2}{8}$$

### Lesson 1.3 Compare Multi-Digit Numbers

Explore and Grow

Goal: Make the greatest number possible.

Draw a Number Card. Choose a place value for the digit. Write the digit in the place value chart. Continue until the place value chart is complete.

Answer: Let me consider my number as “A” and my partner number as “B”

Let,

A = 999999 and B = 999998

From  the 2 numbers, we can conclude that

A > B

Construct Arguments

Think and Grow: Compare Multi-Digit Numbers

Example

Compare 8,465 and 8,439.

Use a place value chart.

Start at the left. Compare the digits in each place until the digits differ.

Step 1: 8 thousand = 8 thousand

Step 2: 4 hundred = 4 hundred

Step 3: 6 tens > 3 tens

So,

8,465 > 8,439

Explanation:

The given 2 numbers are 8,465 and 8,439

By comparing the 2 numbers, we can conclude that

8,465 > 8,439

Show and Grow

Write which place to use when comparing the numbers.

Question 1.

2,423

2,324

Answer: 2,423 is greater than 2,324

Explanation:

The given 2 numbers are 2,423 and 2,324

From these 2 numbers, we can conclude that 2,423 is greater than 2,324.

Question 2.

9,631

9,637

Answer: 9,631 is less than 9,637

Explanation:

The given 2 numbers are 9,631 and 9,637.

From these 2 numbers, we can conclude that 9,631 is less than 9,637

Question 3.

15,728

16,728

Answer: 15,728 is less than 16,728

Explanation:

The given 2 numbers are 15,728 and16,728.

From these 2 numbers, we can conclude that 15,728 is less than 16,728

Compare

Question 4.

Answer: 5,049 is less than 5,082

Explanation:

The given 2 numbers are 5,049 and 5,082.

From these 2 numbers, we can conclude that5,049 is less than 5,082

Question 5.

Answer: 735,283 is equal to 735,283

Explanation:

The given 2 numbers are 735,283 and 735,283.

From these 2 numbers, we can conclude that 735,283 is equal to 735,283

Question 6.

Answer: 43,694 is greater than 3,694

Explanation:

The given 2 numbers are 43,694 and 3,694.

From these 2 numbers, we can conclude that 43,694 is greater than 3,694

Question 7.

Answer: 88,195 is greater than 78,195

Explanation:

The given 2 numbers are88,195 and 78,195.

From these 2 numbers, we can conclude that 88,195 is greater than 78,195

Question 8.

Answer: 6,480 is less than 6,508

Explanation:

The given 2 numbers are 6,480 and 6,508.

From these 2 numbers, we can conclude that 6,480 is less than 6,508

Question 9.

Answer: 321,817 is greater than 312,827

Explanation:

The given 2 numbers are 321,817 and 312,827.

From these 2 numbers, we can conclude that 321,817 is greater than 312,827

Apply and Grow: Practice

Compare.

Question 10.

Answer: 6,052 is less than 6,520

Explanation:

The given 2 numbers are 6,052 and 6,520.

From these 2 numbers, we can conclude that 6,052 is less than 6,520

Question 11.

Answer: 891,634 is greater than 871,634

Explanation:

The given 2 numbers are 891,634 and 871,634

From these 2 numbers, we can conclude that 891,634 is greater than 871,634

Question 12.

Answer: 28,251 is greater than 26,660

Explanation:

The given 2 numbers are28,251 and 26,660

From these 2 numbers, we can conclude that 28,251 is greater than 26,660

Question 13.

Answer: 324,581 is greater than 32,458

Explanation:

The given 2 numbers are 324,581 and 32,458

From these 2 numbers, we can conclude that 324,581 is greater than 32,458

Question 14.

Answer: 230,611 is greater than 230,610

Explanation:

The given 2 numbers are 230,611 and 230,610

From these 2 numbers, we can conclude that 230,611 is greater than 230,610

Question 15.

Answer: 909,900 is greater than 909,009

Explanation:

The given 2 numbers are 909,900 and 909,009

From these 2 numbers, we can conclude that 909,900 is greater than 909,009

Question 16.

Answer: 7,134 is less than 7,634

Explanation:

The given Expanded Form is: 7,000 + 100 + 30 + 4 = 7,134

The given 2 numbers are 7,134 and 7,634

From these 2 numbers, we can conclude that 7,134 is less than 7,634

Question 17.

Answer: 100,003 is greater than 10,003

Explanation:

The given Word Form is: ten thousand, three = 10,003

The given 2 numbers are 100,003 and 10,003

From these 2 numbers, we can conclude that 100,003 is greater than 10,003

Question 18.

Answer: 16,409 is less than 16,490

Explanation:

The given word Form is: Sixteen thousand, four hundred nine = 16,409

The given 2 numbers are 16,409 and16,490

From these 2 numbers, we can conclude that 16,409 is less than 16,490

Question 19.

Answer: 461,329 is equal to 461,329

Explanation:

The given Expanded Form is: 400,000 + 60,000 + 1,000 + 300 + 20 + 9 =461,329

The given 2 numbers are 461,329 and 461,329

From these 2 numbers, we can conclude that 461,329 is equal to 461,329

Question 20.

Two brands of televisions cost $1,598 and$1,998. Which is the lesser price?

Answer: The lesser price is: $1,598 Explanation: The given costs of two brands of Television are$1,598 and $1,998 From the two costs of Television, we can conclude that the lesser price is:$1,598

Question 21.

DIG DEEPER!

Your friend says she can tell which sum is greater without adding the numbers. How can she tell?

34,593 + 6,781

34,593 + 6,609

Answer: 6,781 is greater tha 6,609

Explanation:

The given sums are:

34,593 + 6,781

34,593 + 6,609

From these two sums, we can see that 6,781 is greater tha 6,609

Question 22.

Number Sense

Write all of the digits that make the number greater than 23,489 and less than 26,472.

2?,650

Explanation:

The given numbers are: 23,489 and 26,472

The digits that make the number greater than 23,489 and less than 26,472 are: 3 and 4

Question 23.

YOU BE THE TEACHER

Your friend says 38,675 is less than 9,100 because 3 is less than 9. Is your friend correct? Explain.

Explanation:

The given numbers are 38,675 and 9,100

In 38,675, the highest place-value is: 30,000

In 9,100, the highest place-value is: 9,000

From these, we can conclude that 38,675 is greater than 9,100

Think and Grow: Modeling Real Life

Example

Which playground costs the least?

Write each number in a place value chart.

The playground which costs the least is: Green

Explanation: From the given table, we can conclude that “Green” has the least cost which is $35,872 Order the numbers from least to greatest. _______, ______, _______ Answer: Green, Yellow, Blue Explanation: Compare the costs of 3 playgrounds Green:$35,872    Yellow: $36,827 Blue:$36,927

From these costs, we can conclude that the order is: Green, Yellow, Blue

The ______ playground costs the least.

Explanation:

Compare the costs of 3 playgrounds

Green: $35,872 Yellow:$36,827  Blue: $36,927 From these costs, we can conclude that the “Green Playground” has the least cost. Show and Grow Question 24. Who received the highest score? Did anyone beat the high score? Answer: You Explanation: The given high score is: 252,980 The score of You is: 254,020 From the given scores, we can conclude that “You” scored the highest score than the given high score. Question 25. Name two cities that have a greater population than St. Louis. Name two cities that do not have a greater population than Oakland. Answer: The two cities that have a greater population than St. Louis: Tulsa, OK; Cleveland, OH; Oakland, CA The two cities that do not have a greater population than Oakland: St. Louis, MO; Anchorage, AK ### Compare Multi-Digit Numbers Homework & Practice 1.3 Write which place to use when comparing the numbers Question 1. 396,241 386,201 Answer: Ten thousand’s place Explanation: The given numbers are: 396,241 and 386,201 When we want to compare the numbers directly, compare Ten thousand’s place to get the answer. Question 2. 50,718 50,798 Answer: Tens place Explanation: The given numbers are: 50,718 and 50,798 When we want to compare the numbers directly, compare Tens place to get the answer. Question 3. 159,624 459,623 Answer: Hundred thousand place Explanation: The given numbers are: 159,624 and 459,623 When we want to compare the numbers directly, compare a Hundred thousand place to get the answer. Compare Question 4. Answer: 7,902 is less than 7,912 Explanation: The given 2 numbers are 7,902 and 7,912 From these 2 numbers, we can conclude that 7,902 is less than 7,912 Question 5. Answer: 63,871 is less than 63,902 Explanation: The given 2 numbers are63,871 and 63,902 From these 2 numbers, we can conclude that 63,871 is less than 63,902 Question 6. Answer: 839,304 is greater than 829,001 Explanation: The given 2 numbers are 839,304 and 829,001 From these 2 numbers, we can conclude that 839,304 is greater than 829,001 Question 7. Answer: 48,931 is greater than 48,930 Explanation: The given 2 numbers are 48,931 and 48,930 From these 2 numbers, we can conclude that 48,931 is greater than 48,930 Question 8. Answer: 5,739 is equal to 5,739 Explanation: The given 2 numbers are 5,739 and 5,739 From these 2 numbers, we can conclude that5,739 is equal to 5,739 Question 9. Answer: 10,000 is less than 100,000 Explanation: The given 2 numbers are 10,000 and 100,000 From these 2 numbers, we can conclude that 10,000 is less than 100,000 Compare Question 10. Answer: 16,420 is greater than 16,402 Explanation: The given Expanded Form is: 10,000 + 6,000 + 400 + 2 = 16,402 The given 2 numbers are 16,420 and 16,402 From these 2 numbers, we can conclude that 16,420 is greater than 16,402 Question 11. Answer: 14.000 is less than 114,000 Explanation: The given Word Form is fourteen thousand = 14,000 The given 2 numbers are 14.000 and 114,000 From these 2 numbers, we can conclude that 14.000 is less than 114,000 Question 12. Answer: 800,095 is less than 800,695 Explanation: The given Word Form is eight hundred thousand, ninety-five = 800,095 The given 2 numbers are 800,095 and 800,695 From these 2 numbers, we can conclude that 800,095 is less than 800,695 Question 13. Answer: 509,733 is equal to 509,733 Explanation: The given Expanded Form is 500,000 + 9,000 + 700 + 30 + 3 = 509,733 The given 2 numbers are 509,733 and509,733 From these 2 numbers, we can conclude that 509,733 is equal to 509,733 Question 14. Two different laptops cost$1,050 and$1,150. Which is the lesser price? Answer:$1,050 is the lesser price.

Explanation:

The cost of two different Laptops are: $1,050 and$1,150

When compare $1,050 and$1,150, we can conclude that $1,050 is the lesser price. Question 15. DIG DEEPER! If the leftmost digits of two multi-digit numbers are 6and 9, can you tell which number is greater? Explain. Answer: 9 is a greater number Explanation: The given leftmost digits of two numbers are 6 and 9. When we compare 6 and 9, we can conclude that 9 is the greater number. Question 16. Writing Explain why you start comparing digits on the left when comparing multi-digit numbers. Answer: When we compare multi-digit numbers, we start comparing digits on the leftmost side because those numbers’ positions have the highest place-value. Question 17. Modeling Real Life Use the table to answer the questions. Name two museums that had a yearly attendance greater than Children’sMuseum of Denver. Name two museums that had a yearly attendance less than Discovery Place. Answer: The museums that had a yearly attendance greater than the Children’s Museum of Denver are: A) Boston Children’s Museum B) Children’s Museum of Houston C) Discovery palace D) Exploratorium The museums that had a yearly attendance less than Discovery Place are: A) Boston Children’s Museum B) Children’s Museum of Denver C) Please Touch Museum Review & Refresh Round. Question 18. 654 Nearest ten: _____ Nearest hundred: _____ Answer: 50, 600 Explanation: The given number is: 654 When we round off the tens place, the nearest ten is: 50 When we round off the hundreds place, the nearest hundred is: 600 Question 19. 709 Nearest ten: _____ Nearest hundred: ______ Answer: 0, 700 Explanation: The given number is: 709 When we round off the tens place, the nearest ten is: 0 ( Since the tens place is 0) When we round off the hundreds place, the nearest hundred is: 700 Question 20. 25 Nearest ten: _____ Nearest hundred: _______ Answer: 20, 0 Explanation: The given number is: 25 When we round off the tens place, the nearest ten is: 20 When we round off the hundreds place, the nearest hundred is: 0 ( Since the hundreds place is 0) ### Lesson 1.4 Round Multi-Digit Numbers Explore and Grow Write five numbers that round to 250 when rounded to the nearest ten. Answer: 210, 220, 230, 240, 250 Explanation: The five numbers that round to 250 when rounded to the nearest ten are: 210, 220, 230, 240, 250 Write five numbers that round to 500 when rounded to the nearest hundred. Answer: 100, 200, 300, 400, 500 Explanation: The five numbers that round to 500 when rounded to the nearest hundred are: 100, 200, 300, 400, 500 Repeated Reasoning Explain your strategy. Then explain how you could use the strategy to round a four-digit number to the nearest thousand. Answer: Think and Grow: Round Multi-Digit Numbers To round a number, find the multiple of 10, 100, 1,000, and so on, that is closest to the number. You can use a number line or place value to round numbers. Example Use a number line to round 4,276 to the nearest thousand. 4,276 is closer to 4,000 than it is to 5,000. So, 4,276 rounded to the nearest thousand is _______. Answer: 4,000 Explanation: The number 4276 can be round off to 4,000 when rounded to the nearest thousand. Example Use place value to round 385,617 to the nearest ten thousand. So, 385,617 rounded to the nearest thousand is _______. Answer: 390,000 Explanation: The number 385,617 can be round off to 390,000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5) Show and Grow Round the number to the place of the underlined digit. Question 1. 6,912 Answer: 7000 Explanation: The number 6,912 can be round off to 7,000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5) Question 2. 43,215 Answer: 43,000 Explanation: The number 43,215 can be round off to 43,000 when rounded to the nearest thousand. ( Since the thousands position is less than 5) Question 3. 25,883 Answer: 25,000 Explanation: The number 25,883 can be round off to 25000 when rounded to the nearest thousand. ( Since the thousands position is less than 5) Question 4. 148,796 Answer: 140,000 Explanation: The number 148,796 can be round off to 140000 when rounded to the nearest thousand. ( Since the thousands position is less than 5) Question 5. Round 5,379 to the nearest thousand. Answer: 5,000 Explanation: The number 5,379 can be round off to 5,000 when rounded to the nearest thousand. ( Since the thousands position is equal to 5) Question 6. Round 70,628 to the nearest ten thousand. Answer: 70,000 Explanation: The number 70,628 can be round off to 70,000 when rounded to the nearest ten thousand. Question 7. Round 362,113 to the nearest hundred thousand. Answer:360,000 Explanation: The number 362,113 can be round off to 360000 when rounded to the nearest hundred thousand. Question 8. Round 982,638 to the nearest thousand. Answer:980,000 Explanation: The number 982,638 can be round off to 980,000 when rounded to the nearest thousand. ( Since the thousands position is less than 5) Apply and Grow: Practice Round the number to the place of the underlined digit. Question 9. 3,641 Answer: 3,700 Explanation: The number 3,641 can be round off to 3700 when rounded to the nearest hundred. ( Since the hundreds position is greater than 5) Question 10. 17,139 Answer: 18,000 Explanation: The number 17,139can be round off to 18000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5) Question 11. 426,384 Answer: 426,300 Explanation: The number 426,384 can be round off to 426300 when rounded to the nearest hundred ( Since the hundreds position is greater than 5) Question 12. 542,930 Answer: 542,000 Explanation: The number 542,930 can be round off to 542,000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5) Round the number to the nearest thousand. Question 13. 9,426 Answer: 9,000 Explanation: The number 9,426 can be round off to 9000 when rounded to the nearest thousand. Question 14. 57,496 Answer: 58,000 Explanation: The number 57,496 can be round off to 58000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5) Question 15. 360,491 Answer: 360,000 Explanation: The number 360,491 can be round off to 360000 when rounded to the nearest thousand. Question 16. 824,137 Answer: 824,000 Explanation: The number 824,137 can be round off to 824,000 when rounded to the nearest thousand. ( Since the thousands position is less than 5) Round the number to the nearest hundred thousand. Question 17. 226,568 Answer: 200,000 Explanation: The number 226,568 can be round off to 200,000 when rounded to the nearest hundred thousand. ( Since the hundred thousand position is less than 5) Question 18. 457,724 Answer: 400,000 Explanation: The number 457,724 can be round off to 400,000 when rounded to the nearest hundred thousand. ( Since the hundred thousand position is less than 5) Question 19. 108,665 Answer: 100,000 Explanation: The number 108,665 can be round off to 100,000 when rounded to the nearest hundred thousand. ( Since the hundred thousand position is less than 5) Question 20. 75,291 Answer: Question 21. Number Sense Write a five-digit number that has the digits 6, 0, 4, 2, and 8 and rounds to 70,000 when rounded to the nearest ten thousand. Answer: 68,420 Explanation: The given 5-digits are: 6, 0, 4, 2 and 8 The 5-git number which can be formed by using the given 5 digits are 68,420 and 68,420 can be round off to 70,000 when rounded to the nearest ten thousand. Question 22. Number Sense When finding the United States census, should you round or find an exact answer? Explain. Answer: Question 23. Open-Ended A lightning strike can reach a temperature of about 54,000 degrees Fahrenheit. Write four possible temperatures for a lightning strike. Answer: Think and Grow: Modeling Real Life Example When the results are rounded to the nearest ten thousand, which token received about 160,000 votes? Answer: When the results are rounded to the nearest ten thousand, the tokens which received 1,60,000 votes are: A) Race Car B) Rubber Duck Round each number to the nearest ten thousand. Answer: A) 134,704 : 130,000 B) 154,165 : 150,000 C) 207,954 : 208,000 D) 212,476 : 212,000 E) 167,582 : 170,000 F) 146,661 : 150,000 G) 165,083 : 170,000 H) 160,485 : 160,000 So, the _______ received about 160,000 votes. Answer: A) Race Car B) Rubber Duck Show and Grow Use the table above. Question 24. When the results are rounded to the nearest ten thousand, which tokens received about 150,000 votes? Answer: A) Cat B) Penguin Explanation: From the above table, we can conclude that Cat and the Penguin have 160,000 votes when rounded to the nearest ten thousand. Question 25. When the results are rounded to the nearest hundred thousand, which tokens received about 100,000 votes? Answer: A) Cat B) Penguin Explanation: From the above table, we can conclude that Cat and the Penguin have 160,000 votes when rounded to the nearest hundred thousand Question 26. DIG DEEPER! To which place should you round each number of votes so that you can order the numbers from greatest to least? Explain. Answer: Question 27. A car battery should be replaced when the odometer shows about 50,000 miles. None of the cars below have had a battery replacement. Which cars might need a new battery? Answer: ODO Explanation: From the given Fig., we can conclude that ODO which has above 50,000 miles needs a battery replacement. ### Round Multi-Digit Numbers Homework & Practice 1.4 Round the number to the place of the underlined digit. Question 1. 6,251 Answer: 6,250 Explanation: The given number is 6,251 and the underlined digit is 5. Since the underlined digit is equal to 5, we can conclude that the given number can round off to 6,250 Question 2. 8,962 Answer: 9,000 Explanation: The given number is 8,962 and the underlined digit is 8. Since the underlined digit is greater than 5, we can conclude that the given number can round off to 9,000 Question 3. 3,951 Answer: 3,950 Explanation: The given number is 3,951 and the underlined digit is 9. we can conclude that the given number can round off to 3,950 Question 4. 79,064 Answer: 80,000 Explanation: The given number is 79,064 and the underlined digit is 9. Since the underlined digit is greater than 5, we can conclude that the given number can round off to 80,000 Question 5. 43,976 Answer: 43,000 Explanation: The given number is 43,976 and the underlined digit is 3. Since the underlined digit is greater than 5, we can conclude that the given number can round off to 43,000 Question 6. 24,680 Answer: 24,000 Explanation: The given number is 24,680 and the underlined digit is 2. Since the underlined digit is less than 5, we can conclude that the given number can round off to 24,000 Question 7. 726,174 Answer: 800,000 Explanation: The given number is 726,174 and the underlined digit is 7. Since the underlined digit is greater than 5, we can conclude that the given number can round off to 800,000 Question 8. 138,691 Answer: 140,000 Explanation: The given number is 138,691 and the underlined digit is 8. Since the underlined digit is greater than 5, we can conclude that the given number can round off to 140,000 Round the number to the nearest thousand. Question 9. 5,517 Answer: 5,000 Explanation: The given number is 5,517. Since the thousands position is equal to 5, we can round it off to 5,000 Question 10. 70,628 Answer: 70,000 Explanation: The given number is 70,628. Since the thousands position is less than 5, we can round it off to 70,000 Round the number to the nearest ten thousand. Question 11. 114,782 Answer: 110,000 Explanation: The given number is 114,782. Since the ten thousand’s position is less than 5, we can round it off to 110,000 Question 12. 253,490 Answer: 250,000 Explanation: The given number is 253,490. Since the ten thousand’s position is equal to 5, we can round it off to 250,000 Round the number to the nearest hundred thousand. Question 13. 628,496 Answer: 700,000 Explanation: The given number is 628,496. Since the hundred thousand’s position is greater than 5, we can round it off to 700,000 Question 14. 90,312 Answer: 90,312 Explanation: The given number is 90,312. There is no hundred thousand’s position in the given number. So, there is no effect on the given number. Question 15. Structure Round * to the nearest thousand and to the nearest ten thousand. Nearest thousand: ______ Nearest ten thousand: ______ Answer: Nearest Thousand: 8000 Nearest ten thousand: 10,000 Explanation: In the given fig., the * sign is present after 7,500. From this, we can conclude that Nearest Thousand: 8000 Nearest ten thousand: 10,000 Question 16. Number Sense Which numbers round to 300,000 when rounded to the nearest hundred thousand? Answer: 302,586 Explanation: From the given fig., when we observe the positions of hundred’s and ten thousand’s positions, it is clear that “302,586” can round off to 300,000 Question 17. Number Sense When discussing the price of a laptop, should you round to the nearest thousand or the nearest ten? Explain. Answer: When you are discussing the price of a laptop, you should round off to the nearest thousand instead of the nearest ten. Example: Suppose you want to buy a laptop that costs$152,236. When the dealer told you the price of a laptop, you will ask to round off the price of the laptop so that it will be easier for you to buy that laptop.

Question 18.

YOU BE THE TEACHER

Your friend says 5,953 rounds to 5,053 when rounded to the nearest hundred. Is your friend correct? Explain.

Explanation:

The given number is 5,953. When rounded off to the nearest hundred, the given number becomes 6,000 since the hundreds position is greater than 5.

Question 19.

Modeling Real Life

A glassblower is using a furnace to melt glass. When the furnace reaches about 2,000 degrees Fahrenheit, when

rounded to the nearest hundred, she can put the glass in. At which temperatures could she put the glass into the

furnace?

Explanation:

Given that the furnace reached 2000 degrees Fahrenheit when rounded off to the nearest hundred.

So, the given options are: A) 2005   B) 1899  C) 1925  D) 275  E) 1002

From the given options, it is clear that 1925 degrees can round off to 2000 degrees.

Note: The option 2005 degrees can’t become the answer because when rounding off to the nearest number, the number should be less than the desired number.

Review & Refresh

Find the perimeter of the polygon.

Question 20.

Perimeter: _____

Explanation:

The “Perimeter” is defined as the total length of the geometrical figure covered on all sides.

So, the perimeter of the Polygon can be calculated as :

10 in. + 4 in. + 6 in. + 3 in. = 23 in.

Question 21.

Perimeter: _____

Explanation:

The “Perimeter” is defined as the total length of the geometrical figure covered on all sides.

In a Parallelogram, the parallel sides are equal.

So, the length of all the sides of a parallelogram is: 8 m, 8 m, 5 m, 5 m

So,

The perimeter of the parallelogram can be calculated as:

8 m + 8 m + 5 m + 5 m = 26 m

Question 22

Perimeter: ______

Explanation:

The “Perimeter” is defined as the total length of the geometrical figure covered on all sides.

In a Square, the length of all the sides is equal. So, even in the fig., the length of 1 side is given, we can take it as the length of each of the remaining sides.

So, the perimeter of the square can be calculated as:

7 ft + 7 ft + 7ft + 7 ft = 28 ft.

### Place Value Concepts Performance Task

You hike from Point A through Point F along the orange path shown on the map.

Question 1.

What is the distance in elevation between each contour line?

Explanation:

When we observe the Contour lines from 2000 ft. to 3000 ft., we can conclude that each Contour line can represent 100 ft.

Question 2.

As you walk from A to C, are you walking uphill or downhill? Explain.

Explanation: When we observe the orange path in the given Contour lines, we can conclude that from A to C, you are going downhill.

Question 3.

Which letter represents the highest point? Estimate the height.

Explanation:

If we observe the Orange path, then we can see that Point C represents the highest point.

Question 4.

A water station has an elevation of 2,763 feet. Which letter represents the location of the water station?

Explanation:

From the Orange path, we can see that between 2,500 ft and 3,000 ft., Point is present which can represent the location of the water Station that has an elevation of 2,763 feet.

Question 5.

You take a break when you are at two thousand eighty feet. At which letter do you take a break?

Explanation:

Point A is present after 2,000 ft which is the nearest to 2,080 ft. So, Point A takes a break here.

Question 6.

About how much higher do you think Point C is than Point D? Explain.

### Place Value Concepts Activity

Place Value Plug-In

Directions:

1.Players take turns.

2.On your turn, roll six dice.Arrange the dice into a six-digit number that matches one of the descriptions.

3.Write your number on the lines.

4. The first player to complete all of the numbers wins!

### Place Value Concepts Chapter Practice

1.1 Understand Place Value

Write the value of the underlined digit.

Question 1.

26,490

Explanation;

The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘9’ in 26,490’ is:  90

Question 2.

57,811

Explanation:

The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘5’ in ‘57,811’ is:  50,000

Question 3.

308,974

Explanation:

The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘8’ in ‘308,974’ is: 8,000

Question 4.

748,612

Explanation:

The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘7’ in ‘748,612’ is: 700,000

Compare the values of the underlined digits

Question 5.

94 and 982

Answer: The value of  9 in 982 is 10 times the value of 9 in 94

Explanation:

The value of 9 in 982 is: 900

The value of 9 in 94 is: 90

From these values, we can conclude that the value of  9 in 982 is 10 times the value of 9 in 94

Question 6.

817,953 and 84, 006

Answer: The value of 8 in 817,953 is 10 times the value of 8 in 84,006

Explanation:

The value of 8 in 817,953 is:800,000

The value of 8 in 84,006 is:80,000

From these values, we can conclude that the value of 8 in 817,953 is 10 times the value of 8 in 84,006

1.2 Read and Write Multi-Digit Numbers

Question 7.

Complete the table.

A)50,000 + 600 + 90 + 1

Word Form: Fifty thousand, Six hundred Ninety-one

Standard Form: 50,691

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number is 50,000 + 600 + 90 + 1 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.

B) Seven hundred two thousand, five hundred

Standard Form:702,500

Expanded Form: 700,000 + 0 + 2,000 + 500 + 0 + 0

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number is Seven hundred two thousand, five hundred which is in Word Form. So, we have to write the given number in the remaining 2 forms.

C) 993,004

Word Form: Nine hundred Ninety-three thousand, four

Expanded Form: 900,000 + 90,000 + 3,000 + 0 + 0 +4

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number is 993,004 which is in Standard Form. So, we have to write the given number in the remaining 2 forms.

Question 8.

Modeling Real Life

Use the number 10,000 + 4,000 + 300 + 90 + 9 to complete the check.

Word Form: Fourteen thousand, Three hundred Ninety-nine

Standard Form: 14,399

Explanation:

We can write any number in 3 Forms. They are;

A) Standard Form  B) Word Form  C) Expanded Form

Now, the given number is10,000 + 4,000 + 300 + 90 + 9 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.

1.3 Compare Multi-Digit Numbers

Write which place to use when comparing the numbers.

Question 9.

46,027

46,029

Answer: 46,027 is less than 46,029

Explanation:

The given 2 numbers are 46,027 and 46,029.

From these 2 numbers, we can conclude that 46,027 is less than 46,029

Question 10.

548,003

545,003

Answer: 548,003 is greater than 545,003

Explanation:

The given 2 numbers are 548,003 and 545,003.

From these 2 numbers, we can conclude that 548,003 is greater than 545,003

Question 11.

619,925

630,982

Answer: 619,925 is less than 630,982

Explanation:

The given 2 numbers are 619,925 and 630,982.

From these 2 numbers, we can conclude that 619,925 is less than 630,982

Compare.

Question 12.

Answer: 4,021 is less than 4,210

Explanation:

The given 2 numbers are 4,021 and 4,210.

From these 2 numbers, we can conclude that 4,021 is less than 4,210

Question 13.

Answer: 78,614 is equal to 78,614

Explanation:

The given 2 numbers are 78,614 and 78,614.

From these 2 numbers, we can conclude that 78,614 is equal to 78,614

Question 14.

Answer: 816,532 is greater than 816,332

Explanation:

The given 2 numbers are 816,532 and 816,332.

From these 2 numbers, we can conclude that 816,532 is greater than 816,332

Question 15.

Answer: 55,002 is less than 65,002

Explanation:

The given 2 numbers are 55,002 and 65,002.

From these 2 numbers, we can conclude that 55,002 is less than 65,002

Question 16.

Answer: 3,276 is greater than 3,275

Explanation:

The given 2 numbers are 3,276 and 3,275.

From these 2 numbers, we can conclude that 3,276 is greater than 3,275

Question 17.

Answer: 45,713 is less than 457,130

Explanation:

The given 2 numbers are45,713 and 457,130.

From these 2 numbers, we can conclude that 45,713 is less than 457,130

Question 18.

Answer: 569,021 is greater than 56,902

Explanation:

The given Expanded Form is: 50,000 + 6,000 + 900 + 2 =56,902

The given 2 numbers are569,021 and 56,902.

From these 2 numbers, we can conclude that 569,021 is greater than 56,902

Question 19.

Answer: 37,000 is less than 307,000

Explanation:

The given Word Form is: Thirty – seven thousand = 37,000

The given 2 numbers are 37,000 and 307,000.

From these 2 numbers, we can conclude that37,000 is less than 307,000

Question 20.

Two different hot tubs cost $4,179 and$4,139. Which is the lesser price?

Answer: The lesser price is $4,139 Explanation: The costs of two different hot tubs are:$4,179 and $4,139 On comparing the costs of two different hot tubs, we can conclude that the lesser price is$4,139

Question 21.

Number Sense

Write all of the digits that make the number greater than 47,068 and less than 47,468.?

47,?68

Explanation:

The digits that make the number greater than 47,068 and less than 47,468 are: 1, 2, 3

1.4 Round Multi-Digit Numbers

Round the number to the place of the underlined digit.

Question 22.

8,614

Explanation:

The number 8,614 can be round off to 8,610 when rounded to the nearest ten. ( Since the tens position is less than 5)

Question 23.

2,725

Explanation:

The number 2,725 can be round off to 2,000 when rounded to the nearest thousand. ( Since the thousands position is less than 5)

Question 24.

27,602

Explanation:

The number 27,602 can be round off to 27,700 when rounded to the nearest hundred. ( Since the hundreds position is greater than 5)

Question 25.

906,154

Explanation:

The number 906,154 can be round off to 906,100 when rounded to the nearest hundred. ( Since the hundreds position is less than 5)

Round the number to the nearest thousand.

Question 26.

1,358

Explanation:

The number 1,358 can be round off to 1,000  when rounded to the nearest thousand. ( Since the thousands position is less than 5)

Question 27.

57,094

Explanation:

The number 57,094 can be round off to 58,000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5)

Round the number to the nearest ten thousand.

Question 28.

431,849

Explanation:

The number 431,849 can be round off to 431,000  when rounded to the nearest ten thousand. ( Since the ten thousand’s  position is less than 5)

Question 29.

60,995