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## Big Ideas Math Book 1st Grade Answer Key Chapter 6 Count and Write Numbers to 120

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**Vocabulary**

**Lesson: 1 Count to 120 by Ones**

**Lesson: 2 Count to 120 by Tens**

**Lesson: 3 Compose Numbers 11 to 19**

**Lesson: 4 Tens**

**Lesson: 5 Tens and Ones**

**Lesson: 6 Make Quick Sketches**

**Lesson: 7 Understand Place Value**

**Lesson: 8 Write Numbers in Different Ways**

**Lesson: 9 Count and Write Numbers to 120**

**Chapter: 6 – Count and Write Numbers to 120**

### Count and Write Numbers to 120 Vocabulary

**Organize It**

Review Words:

column

decade numbers

hundred chart

row

Use the review words to complete the graphic organizer.

Answer:

Explanation:

The given graphic organizer title is called as hundred chart,

and numbers 41 to 50 are called as row, numbers 4,14,24

to 84, 94 are called as column and numbers 10,20,30 to 90,100

are called decade numbers.

**Define It**

Use your vocabulary cards to identify the words.

Explanation:

Given in the picture to identify words 2 – Two and 3 – Three.

### Lesson 6.1 Count to 120 by Ones

**Explore and Grow**

Point to each number as you count to 120. Color the first two rows and the last two rows. How are the rows the same? How are they different?

Answer:

Explanation:

As we move from 1,2,3 count to 120 have pointed with an arrow for each number. Colored with green first two rows from 1 to 10, 11 to 20 and the last two rows from 101 to 110, 111 to 120.

The rows are same – as we move from number 1 to 120 from first number to second number the number is increased by 1 as 1, 1 + 1 = 2, 2 + 1 = 3 and so on 119 + 1 = 120 means the next number is addition of 1 plus the previous number.

The rows are different – as we see the numbers are not the same they differ its 1,2 ,3 to 119, 120 from 1 to 120.

**Show and Grow**

Count by ones to write the missing numbers.

Question 1.

82, _____83_____, ____84____, _____85_____, ____86______, ____87______

Answer:

The missing numbers after 82 are 83, 84, 85, 86 ,87

Explanation:

Given the starting number as 82 we count by ones and

write the next missing numbers as 82 + 1 = 83,

83 + 1 = 84, 84 + 1 = 85 , 85 +1 = 86, 86 + 1 = 87,

now the missing numbers after 82 are 83, 84, 85, 86 ,87.

Question 2.

103, ____104______, ____105______, ___106_______, ____107______, ____108______

Answer:

The missing numbers after 103 are 104,105,106,107,108.

Explanation:

Given the starting number as 103 we count by ones and

write the next missing numbers as 103 + 1 = 104,

104 + 1 =105, 105 + 1 = 106, 106 + 1 = 107,107 + 1 = 108,

now the missing numbers after 103 are 104,105,106,107,108.

**Apply and Grow: Practice**

Count by ones to write the missing numbers.

Question 3.

56, ____57______, ____58____, ____59______, ____60______, ____61______

Answer:

The missing numbers after 56 are 57,58,59,60,61

Explanation:

Given the starting number as 56 we count by ones and

write the next missing numbers as 56 + 1 = 57, 57 + 1 = 58,

58 + 1 = 59, 59 + 1 = 60, 60 + 1 = 61,

now the missing numbers after 56 are 57,58,59,60,61.

Question 4.

98, _____99_____, ____100______, ____101______, ____102______, ____103______

Answer:

The missing numbers after 98 are 99,100,101,102,103

Explanation:

Given the starting number as 98 we count by ones and

write the next missing numbers as 98 + 1 = 99,99 + 1 = 100,

100 + 1 = 101, 101 + 1 = 102, 102 + 1 = 103,

So the missing numbers after 98 are 98,99,100,101,102,103.

Question 5.

115, ____116______, ____117______, ____118______, ____119______, ___120_______

Answer:

The missing numbers after 115 are 116,117,118,119,120

Explanation:

Given the starting number as 115 we count by ones and

write the next missing numbers as 115 + 1 = 116,

116 + 1 = 117, 117 + 1 = 118, 118 + 1 = 119, 119 + 1 = 120,

So the missing numbers after 115 are 116,117,118,119,120.

Question 6.

___40_______, ____41______, 42, ____43______, ____44______, ____45______

Answer:

The missing numbers before and after 42 are 40,41,43,44,45

Explanation:

Given number is 42 and 2 numbers before 42 are

count 1 before 42 is 42- 1= 41 and count 1 before 41 is

41 – 1 = 40 and count 1 after 42 is 42 + 1 = 43, 43 + 1 = 44,

44 + 1 = 45, So the missing numbers before and after 42 are 40,41,43,44,45.

Write the missing numbers in the chart.

Question 7.

Answer:

The missing numbers in the chart are 33,35,42,44.

Explanation:

The missing number after 32 is 32 + 1 = 33,

the number after 34 is 34 + 1 = 35,

the number before 43 is 43 – 1 = 42 and

number after 43 is 43 + 1 = 44, So the missing

numbers in the chart are 33,35,42,44.

Question 8.

Answer:

The missing numbers in the chart are 81,83,84,92,94.

Explanation:

The missing number before 82 is 82 – 1 = 81,

the number after 82 is 82 + 1 = 83,now number

after 83 is 83 + 1 = 84.

The number after 91 is 91 + 1 = 92,

the number after 93 is 93 + 1 = 94, therefore the

missing numbers in the chart are 81,83,84,92,94.

Question 9.

**MP Structure**

Structure Write a number between 95 and 105. Then count by ones to write the next 7 numbers.

____96___, _____97____, _____98_____, ____99____, ___ 100___, ____101___, ___102__, ___103___

Answer:

Let the number be 96 which is between 95 and 105 and

the next 7 numbers after 96 are 97,98,99,100,101,102,103.

Explanation:

Given to write a number between 95 and 105,

Let us take the number as 96, now we will write the

next 7 numbers are 96 + 1 = 97,97+ 1 = 98, 98 + 1 =99,

99 + 1 = 100,100 + 1 = 101, 101 + 1 = 102, 102 + 1 = 103,

therefore the next 7 numbers after 96 are 97,98,99,100,101,102,103.

**Think and Grow: Modeling Real Life**

You hove 108 bouncy balls. You want 112. How many more bouncy bails do you need?

Draw more bails to show 112:

______4______ more bouncy balls

Answer:

4 more bouncy balls are needed,

Explanation:

Given I have 108 bouncy balls and I want 112,

So I need 108 + 1 = 109, 109 + 1 = 110, 110 + 1 = 111,

111+ 1 = 112 or 112 – 108 = 4, so we need 4 more bouncy balls.

**Show and Grow**

Question 10.

You have 66 rocks. You want 75. How many more rocks do you need?

Draw more rocks to show 75:

______9_______ more rocks

Answer:

I need 9 more rocks.

Explanation:

Given I have 66 rocks and I want 75,

So more rocks I needed are 75 – 66 = 9.

### Count to 120 by Ones Practice 6.1

Count by ones to write the missing numbers.

Question 1.

57, _____58_____, _____59_____, ____60______, ____61______, ____62______

Answer:

The missing numbers after 57 are 58,59,60,61,62.

Explanation:

Given the starting number as 57 we count by ones and

write the next missing numbers as 57 + 1 = 58,

58 + 1 = 59, 59 + 1 = 60, 60 + 1 = 61, 61 + 1 = 62,

So the missing numbers after 57 are 58,59,60,61,62.

Question 2.

109, ____110___, ____111___, ____112___, ____113___, __114_____

Answer:

The missing numbers after 109 are 110,111,112,113,114

Explanation:

Given the starting number as 109 we count by ones and

write the next missing numbers as 109 + 1 = 110,

110 + 1 =111,111 + 1 = 112, 112 + 1 = 113, 113 + 1 = 114,

So the missing numbers after 109 are 110,111,112,113,114.

Question 3.

40, ____41___, ____42___, ___43___, ___44___, ___45___

Answer:

The missing numbers after 40 are 41,42,43,44,45

Explanation:

Given the starting number as 40 we count by ones and

write the next missing numbers as 40 + 1 = 41,

41 + 1 = 42,42 + 1 = 43, 43 + 1 = 44, 44 + 1 = 45,

So the missing numbers after 40 are 40,41,42,43,44,45.

Question 4.

_____97_____, ____98______, ____99______, 100, ____101______, ____102______

Answer:

The missing numbers before and after 100 are 97,98,99,101,102

Explanation:

Given number is 100 and 3 numbers before 100 are

count 1 before 100 is 100- 1= 99, count 1

before 99 is 99 – 1 = 98 and count 1 before 98 is

98 – 1 = 97, numbers after 100 are 100 + 1 = 101 and

101 + 1 = 102,therefore the missing numbers

before and after 100 are 97,98,99,101,102.

Write the missing numbers in the chart.

Question 5.

Answer:

The missing numbers in the chart are 21,23,30,32.

Explanation:

The missing number after 20 is 20 + 1 = 21,

the number after 22 is 22 + 1 = 23,

the number before 31 is 31 – 1 = 30 and

number before 33 is 33 – 1 = 32, So the missing

numbers in the chart are 21,23,30,32.

Question 6.

Answer:

The missing numbers in the chart are 102,104,105,113,115.

Explanation:

The missing number before 103 is 103 – 1 = 102,

the number after 103 is 103 + 1 = 104,

the number after 104 is 104 + 1 = 105,

the number after 112 is 112 + 1 = 113 and

the number after 114 is 114 + 1 = 115

So the missing numbers in the chart are 102,104,105,113,115.

Question 7.

**MP Structure**

Write a number between 85 and 95. Then count by ones to write the next 7 numbers.

__87__, _88___, _89___, __90___, _91__, _92_, _93_, _94__

Answer:

Let the number be 87 which is between 85 and 95 and

the next 7 numbers after 87 are 88,89,90,91,92,93,94.

Explanation:

Given to write a number between 85 and 95,

Let us take the number as 87, now we will write the

next 7 numbers are 87 + 1 = 88,88+ 1 = 89, 89 + 1 =90,

90 + 1 = 91,91 + 1 = 92, 92 + 1 = 93, 93 + 1 = 94,

therefore the next 7 numbers after 87 are 88,89,90,91,92,93,94.

Question 8.

**Modeling Real Life**

There are 110 tokens. You want 119. How many more tokens do you need?

____9_____ more tokens

Answer:

I need 9 more tokens.

Explanation :

Given there are 110 tokens. and I want 119,

so I needed 119 – 110 = 9 more tokens.

**Review & Refresh**

Question 9.

? – 6 = 4

Think 6 + 4 = ___10_____ .

So, ______10__ – 6 = 4.

Answer:

6 + 4 = 10

so, 10 – 6 = 4

Explanation:

Given ___ – 6 = 4, Let us take the missing number as X,

therefore X – 6 = 4, X = 4 + 6 =10,the equation is 10 – 6 = 4.

### Lesson 6.2 Count to 120 by Tens

**Explore and Grow**

Count to 10. Circle the number. Count 10 more. Circle the number. Continue until you reach 120.

Explanation:

Start counting from 1 to 10 circled, Next from 11 to 20 counted

circled, counted till 120 and circled.

**Show and Grow**

Count by tens to write the missing numbers.

Question 1.

70, __80___, __90__, __100__, _110__, __120__

Answer:

The missing numbers after 70 are 80,90,100,110,120

Explanation:

Started from 70 counting by 10’s so 70 + 10 = 80,

80 + 10 = 90, 90 + 10 = 100, 100 + 10 = 110, 110 + 10 = 120,

So the missing numbers after 70 are 80,90,100,110,120

Question 2.

31, __41___, __51__, _61__, __71__, _81__

Answer:

The missing numbers after 31 are 41,51,61,71,81

Explanation:

Started from 31 counting by 10’s so 31 + 10 = 41,

41 + 10 = 51, 51 + 10 =61, 61 + 10 = 71 ,71 +10 = 81,

So the missing numbers after 31 are 41,51,61,71,81.

**Apply and Grow: Practice**

Count by tens to write the missing numbers

Question 3.

62, __72__, __82__, _92__, _102__, _112___

Answer:

The missing numbers after 62 are 72,82,92,102,112

Explanation:

Started from 62 counting by 10’s are 62 + 10 = 72,

72 + 10 = 82, 82 + 10 =92, 92 + 10 = 102 ,102 +10 = 112,

So the missing numbers after 62 are 72,82,92,102,112

Question 4.

43, __53__, _63__, __73__, __83__, _93__

Answer:

The missing numbers after 43 are 53,63,73,83,93

Explanation:

Started from 43 counting by 10’s are 43 + 10 = 53,

53 + 10 = 63, 63 + 10 =73, 73 + 10 = 83 ,83 +10 = 93,

So the missing numbers after 43 are 53,63,73,83,93.

Question 5.

___10__, __20___, 30, __40__, __50___, __60__

Answer:

The missing numbers before and after 30 are 10,20,40,50,60

Explanation:

Started from 30 counting by 10’s numbers before and after 30 are

before 30 – 10 = 20, 20 – 10 = 10 and after 30 are 30 + 10 = 40,

40 + 10 = 50, 50 + 10 = 60, therefore numbers before and after 30

are 10,20,40,50,60.

Question 6.

Write the missing numbers from the chart. Then count on by tens to write the next three numbers.

Answer:

The missing numbers in the chart are 71,81 and

count on 10’s the next three numbers after 81 are 91,101,111.

Explanation:

Given numbers in the chart, the number missing before 72

is 72 – 1 = 71 and number missing before 82 in the chart is

82 – 1 = 81,now counting by 10’s next three numbers after 81 are

81 + 10 = 91,91 + 10 = 101,101 + 10 = 111.

Therefore the missing numbers in the chart are 71,81 and

count on 10’s the next three numbers after 81 are 91,101,111.

Question 7.

**YOU BE THE TEACHER**

Your friend counts by tens starting with 27. Is your friend correct? Show how you know.

27, 37, 47, 67, 77, 87

Answer:

No, Friend is incorrect. As 57 is missing.

Explanation:

Given friend counts by tens starting with 27 and

gets 27, 37, 47, 67, 77, 87 but after 47 we should

get 47 + 10 = 57 as 57 is missing friend is incorrect.

**Think and Grow: Modeling Real Life**

You have 50 points. On your next turn, you knock over 6 cans. How many points do you have now?

Write the numbers:

____110______ points

Answer:

I have 110 points now.

Explanation:

Given I have 50 points on my next turn I knock

over 6 cans and 10 points for each knocked over can

means I got 6 X 10 = 60 points, So in total I have

50 + 60 = 110 points now.

**Show and Grow**

Question 8.

You have 21 points. On your next turn, 3 beanbags land in the circle. How many points do you have now?

Write the numbers:

_____51_____ points

Answer:

I have 51 points now.

Explanation:

Given I have 21 points on my next turn 3 beanbags

land in the circle 10 points for each beanbag

means I got 3 X 10 = 30 points, So in total I have

21 + 30 = 51 points now.

### Count to 120 by Tens Practice 6.2

Count by tens to write the missing numbers.

Question 1.

69, __79_, _89__, _99_, _109_, _119__

Answer:

The missing numbers after 69 are 79,89,99,109,119

Explanation:

Started from 69 counting by 10’s numbers after 69 are

69 + 10 = 79, 79 + 10 = 89, 89 + 10 = 99, 99 + 10 = 109,

109 + 10 = 119, therefore the missing numbers after 69

are 79,89,99,109,119.

Question 2.

41, __51__, _61___, _71__, _81__, _91__

Answer:

The missing numbers after 41 are 51,61,71,81,91

Explanation:

Started from 41 counting by 10’s numbers after 41 are

41 + 10 = 51,51 + 10 = 61, 61 + 10 = 71, 71 + 10 = 81,

81 + 10 =91, So the missing numbers after 41 are 51,61,71,81,91.

Question 3.

16, __26__, _36__, _46__, _56__, __66__

Answer:

The missing numbers after 16 are 26,36,46,56,66

Explanation:

Started from 16 counting by 10’s numbers after 16 are

16 + 10 = 26, 26 + 10 = 36,36 + 10 = 46, 46 + 10 = 56,

56 + 10 = 66, So the missing numbers after 16 are 26,36,46,56,66.

Question 4.

_64__, __74__, __84__, 94, __104_, __114__

Answer:

The missing numbers before 94 are 84,74 ,64 and

after 94 are 104, 114.

Explanation:

Started from 94 counting by 10’s numbers before and after 94 are

before 94 – 10 = 84, 84 – 10 = 74 , 74 – 10 = 64 and after are

94 + 10 = 104,104 + 10 = 114, So the missing numbers before

94 are 84,74 ,64 and after 94 are 104, 114.

Question 5.

Write the missing numbers from the chart. Then count on by tens to write the next three numbers.

Answer:

The missing numbers in the chart are 6,16 and

count on 10’s the next three numbers after 16 are 26,36,46.

Explanation:

Given numbers in the chart, the number missing after 5

is 5 + 1 = 6 and number missing after 15 in the chart is

15 + 1 = 16,now counting by 10’s next three numbers after 16 are

16 + 10 = 26,26 + 10 = 36,36 + 10 = 46.

Therefore the missing numbers in the chart are 6,16 and

count on 10’s the next three numbers after 16 are 26,36,46.

Question 6.

**DIG DEEPER!**

You count to 50. You only count 5 numbers. Did you count by ones or by tens? Show how you know.

Answer:

I count by tens.

Explanation:

Given I count to 50 and count only 5 numbers , If I count by ones

I will get 50 numbers like 1,1+1=2, 2+ 1=3,…till I reach 49+ 1 = 50

as shown in the above picture, If I count by tens I get 5 numbers,

Like 10,10 + 10 = 20,20 + 30 = 40, 40 + 10 = 50, as I count 5 numbers

So I count by tens.

Question 7.

**Modeling Real Life**

You have 30 points. On your next turn, 4 balls stick to the wall. How many points do you have now?

____70_____ points

Answer:

I have 70 points now.

Explanation:

Given I have 30 points. On my next turn,

4 balls stick to the wall and each ball we have 10 points,

So 4 X 10 = 40 points means in total I have 30 + 40 = 70 points now.

**Review & Refresh**

Question 8.

3 + 1 = ___4_____

Answer:

3 + 1 = 4

Explanation:

We are going to add 1 to 3 we get 4.

Question 9.

5 – 1 = ____4_____

Answer:

5 – 1 = 4

Explanation:

We will subtract 1 from 5 we get 4.

### Lesson 6.3 Compose Numbers 11 to 19

**Explore and Grow**

Color to show 13 and 17. What is the same about the numbers? What is different?

Answer:

Both are same- 13, 17 are prime numbers.

Both 13 and 17 are different as

both are not same numbers, they both are not equal.

Explanation:

Taken numbers from 1 to 20 in the chart,

colored numbers 13 and 17 with green.

Both are the same- 13 and 17 are prime numbers-

these are the numbers, which are only divisible by 1 or

the number itself as 13 and 17 are divisible by 1 and only

by them they both are prime.

Both are different-As 13 and 17 are equal they differ.

**Show and Grow**

Question 1.

Circle 10 feathers. Complete the sentence.

____One____ ten and ___six____ ones is __sixteen____ .

Answer:

One ten and six ones is sixteen.

1 ten and 6 ones is 16.

Explanation:

Circled 10 feathers, after counting we have total

16 feathers we write the sentence as

one ten and six ones is sixteen means 10 + 6 = 16.

1 ten and 6 ones is 16.

**Apply and Grow: Practice**

Circle 10 feathers. Complete the sentence.

Question 2.

___One_____ ten and __five___ ones is ____fifteen_____ .

Answer:

One ten and five ones is fifteen.

1 ten and 5 ones is 15.

Explanation:

Circled 10 fishes, after counting we have total

15 fishes we write the sentence as

one ten and five ones is fifteen means 10 + 5 = 15.

1 ten and 5 ones is 15.

Question 3.

____One____ ten and ___three__ ones is ____thirteen_____ .

Answer:

One ten and three ones is thirteen.

1 ten and 3 ones is 13.

Explanation:

Circled 10 sun flowers, after counting we have total

13 sunflowers we write the sentence as

one ten and three ones is thirteen means 10 + 3 = 13.

1 ten and 3 ones is 13.

Question 4.

___One_ ten and __seven__ ones is ___seventeen___ .

Answer:

One ten and seven ones is seventeen.

1 ten and 7 ones is 17.

Explanation:

Circled 10 bees, after counting we have total

17 bees we write the sentence as

one ten and seven ones is seventeen means 10 + 7 = 17.

1 ten and 7 ones is 17.

Question 5.

**MP Number Sense**

Color to show the number. Complete the sentence.

___one___ ten and __six___ ones is __sixteen____ .

Answer:

One ten and six ones is sixteen.

1 ten and 6 ones is 16.

Explanation:

Colored the shown number 16 with blue,

we write the sentence as

one ten and six ones is sixteen means 10 + 6 = 16.

1 ten and 6 ones is 16.

**Think and Grow: Modeling Real Life**

You have 15 footballs. A bag can hold 10. You fill a bag. How many footballs are not in the bag?

Draw a picture:

Write the missing numbers: __one_ ten and __five_ ones is __fifteen__ footballs

Answer:

One ten and five ones is fifteen footballs.

1 ten and 5 ones is 15.

5 footballs are not there in the bag,

Zero ten and five ones or 0 ten and 5 ones is five or 5 footballs are missing.

Explanation:

Given I have 15 footballs means one ten and five ones is

fifteen or 1 ten and 5 ones is 15 and a bag can hold 10 footballs,

In the picture there are total 15 footballs in that I

have taken 10 in the bag so footballs which are not there

in the bag are 15 – 10 = 5, So missing number of footballs

in the bag are zero ten and five ones is five or 0 ten and 5 ones is 5.

**Show and Grow**

Question 6.

Your teacher has 18 calculators. A case can hold 10. Your teacher fills a case. How many calculators are not in the case?

Draw a picture:

Write the missing numbers: __one__ ten and __eights ones _ is eighteen_ calculators

Answer:

One ten and eight ones is eighteen calculators.

1 ten and 8 ones is 18.

8 calculators are not there in the case,

Zero ten and eight ones is eight or

0 ten and 8 ones is 8 calculators are missing,

Explanation:

Given teacher ha 18 calculators means one ten and eight ones is

eighteen or 1 ten and 8 ones is 18 and a case can hold 10,

In the picture there are total 18 calculators in that I

have taken 10 in the case so number of calculators which

are not there in the case are 18 – 10 = 8, So missing calculators

in the case are zero ten and eight ones is eight or 0 ten and 8 ones is 8.

### Compose Numbers 11 to 19 Practice 6.3

Circle 10 objects. Complete the sentence.

Question 1.

__one___ ten and ___one___ ones is eleven_ .

Answer:

One ten and one ones is eleven.

1 ten and 1 ones is 11.

Explanation:

Circled 10 balls, after counting we have total

11 balls we write the sentence as

one ten and one ones is eleven means 10 + 1 = 11.

1 ten and 1 ones is 11.

Question 2.

__one____ ten and __nine____ ones is _nineteen_____ .

Answer:

One ten and nine ones is nineteen.

1 ten and 9 ones is 19.

Explanation:

Circled 10 fishes, after counting we have total

19 fishes we write the sentence as

one ten and nine ones is nineteen means 10 + 9 = 19.

1 ten and 9 ones is 19.

Question 3.

___one___ ten and __three____ ones __thirteen____ .

Answer:

One ten and three ones is thirteen.

1 ten and 3 ones is 13.

Explanation:

Circled 10 honeybees, after counting we have total

13 we write the sentence as

one ten and three ones is thirteen means 10 + 3 = 13.

1 ten and 3 ones is 13.

Question 4.

**MP Number Sense**

Color to show the number. Complete the sentence.

__one____ ten and _eight___ ones is eighteen__ .

Answer:

One ten and eight ones is eighteen.

1 ten and 8 ones is 18.

Explanation:

Colored the shown number 18 with yellow,

we write the sentence as

one ten and eight ones is eighteen means 10 + 8 = 18.

1 ten and 8 ones is 18.

Question 5.

**MP Number Sense **Match.

Answer:

Explanation:

Matched 1 ten and 3 ones with 13, 1 ten and 8 ones with 12

and 12 ones with 12 in the picture above.

Question 6.

**Modeling Real Life**

You have 16 books. A backpack can hold 10. You fill a backpack. How many books are not in the backpack?

_____6_____ books

Answer:

There are 6 books which are not in the backpack.

Explanation:

Given I have 16 books means and a backpack

can hold 10 books, out of 16 books I

have taken 10 in the backpack so books which are not there

in the backpack are 16 – 10 = 6 books.

**Review & Refresh**

Question 7.

10 + 10 = ___20_____

Answer:

10 + 10 = 20

Explanation:

We are going to add 10 with 10 we get 20.

Question 8.

10 + 10 = ___20______

Answer:

10 + 10 = 20

Explanation:

We are going to add 10 with 10 we get 20.

### Lesson 6.4 Tens

**Explore and Grow**

Circle groups of 10. Write the number of groups.

Answer:

How many counters are there in all?

____20______ counters

Answer:

There are 20 counters in all.

Explanation:

In the given picture circled groups of 10, There are 2 groups,

and counted there are total 20 counters in all.

**Show and Grow**

Circle groups of 10. Complete the sentence.

Question 1.

____6__ ten and _0__ ones is 60______ .

Answer:

6 groups, 6 ten and 0 ones is 60.

Explanation:

In the given picture circled groups of 10, There are 6 groups,

and counted there are total 60 in all. 6 ten and 0 ones is 60.

Question 2.

__5____ ten and ___0___ ones is 50_ .

Answer:

5 groups, 5 ten and 0 ones is 50.

Explanation:

In the given picture circled groups of 10, There are 5 groups,

and counted there are total 50 in all. 5 ten and 0 ones is 50.

**Apply and Grow: Practice**

Circle groups of 10. Complete the sentence.

Question 3.

___7___ ten and ___0___ ones is 70______ .

Answer:

7 groups, 7 ten and 0 ones is 70.

Explanation:

In the given picture circled groups of 10, There are 7 groups,

and counted there are total 70 in all. 7 ten and 0 ones is 70.

Question 4.

___9___ ten and ___0___ ones is _90__ .

Answer:

9 groups, 9 ten and 0 ones is 90.

Explanation:

In the given picture circled groups of 10, There are 9 groups,

and counted there are total 90 in all. 9 ten and 0 ones is 90.

Question 5.

___1___ ten and ___0___ ones is __10____ .

Answer:

1 group, 1 ten and 0 ones is 10.

Explanation:

In the given picture circled groups of 10, There are 1 group,

and counted there are total 10 in all. 1 ten and 0 ones is 10.

Question 6.

**MP Number Sense**

You have 4 groups of 10 linking cubes. How many linking cubes do you have?

_____40_______ linking cubes

Answer:

I have 40 linking cubes.

Explanation:

Given I have 4 groups of 10 linking cubes, So I have

4 X 10 = 40 linking cubes.

**Think and Grow: Modeling Real Life **

You read 10 books every month. You 40 books. How many months does it take?

Draw a picture:

Write the missing numbers: ___4___ tens and ___0___ ones __4____ months

Answer:

4 tens and 0 ones is 40 books.

It will take 4 months.

Explanation:

Given I read 10 books every month and read 40 books,

4 tens and 0 ones is 40 books.

So we will divide 40 by 10 we get 4, therefore it will take 4 months,

Show and Grow

Question 7.

There are 10 dog bones in each box. You need 20 bones. How many boxes do you need?

Draw a picture:

Write the missing numbers: ___2___ tens and ___0___ ones __2____ boxes

Answer:

2 tens and 0 ones is 20 boxes.

We need 2 boxes.

Explanation:

Given there are 10 dog bones in each box and need 20 bones.

2 tens and 0 ones is 20 bones.

So we will divide 20 by 10 we get 2, therefore we need 2 boxes.

### Tens Practice 6.4

Circle groups of 10. Complete the sentence.

Question 1.

___8___ tens and __0____ ones is 80__ .

Answer:

8 groups, 1 ten and 0 ones is 10.

Explanation:

In the given picture circled groups of 10, There are 8 groups,

and counted there are total 80 in all. 8 ten and 0 ones is 80.

Question 2.

___6___ tens and __0____ ones is __60____ .

Answer:

6 groups, 6 ten and 0 ones is 60.

Explanation:

In the given picture circled groups of 10, There are 6 groups,

and counted there are total 60 in all. 6 ten and 0 ones is 60.

Question 3.

___3___ tens and __0____ ones _is 30_____ .

Answer:

3 groups, 3 ten and 0 ones is 30.

Explanation:

In the given picture circled groups of 10, There are 3 groups,

and counted there are total 30 in all. 3 ten and 0 ones is 30.

Circle groups of 10. Complete the sentence.

Question 4.

___2___ tens and __0____ ones is __20____ .

Answer:

2 groups, 2 ten and 0 ones is 20.

Explanation:

In the given picture circled groups of 10, There are 2 groups,

and counted there are total 20 in all. 2 ten and 0 ones is 20.

Question 5.

**MP Number Sense**

You have 7 groups of 10 linking cubes. How many linking cubes do you have?

_____70______ linking cubes

Answer:

I have 70 linking cubes.

Explanation:

Given I have 7 groups of 10 linking cubes, So I have

7 X 10 = 70 linking cubes.

Question 6.

**Modeling Real Life**

You swim 10 laps at every practice. You want to swim 50 laps. How many practices will it take?

_____5______ Practices

Answer:

5 tens and 0 ones is 50 laps

It will take 5 practices.

Explanation:

Given I swim 10 laps at every practice, I want to swim 50 laps

5 tens and 0 ones is 50 laps.

So I will divide 50 by 10 I get 5, therefore I will take 5 practices.

**Review & Refresh**

Question 7.

4 + 3 + 4 = ____11________

Answer:

4 + 3 + 4 = 11

Explanation:

First we add 4 and 3 then add 4 we get 11.

Question 8.

1 + 5 + 9 = _____15______

Answer:

1 + 5 + 9 = 15

Explanation:

First we add 1 and 5 then add 9 we get 15.

Question 9.

2 + 2 + 1 = _____5______

Answer:

2 + 2 + 1 = 5

Explanation:

First we add 2 and 2 then add 1 we get 5.

Question 10.

7 + 3 + 6 = _____16______

Answer:

7 + 3 + 6 = 16

Explanation:

First we add 7 and 3 then add 6 we get 16.

### Lesson 6.5 Tens and Ones

**Explore and Grow**

Model 2 tens and 3 ones. Write the number.

Answer:

2 tens and 3 ones is 23.

Explanation:

Model shown in the picture 2 tens and 3 ones,

So placed 2 ten blocks in tens place and 3 blocks in ones place,

making 2 tens and 3 ones ,therefore the number is 23.

**Show and Grow**

Question 1.

__2___ tens and ___1___ ones is ___21___ .

Answer:

2 tens and 1 ones is 21

Explanation:

Given in the picture there are 2 tens block in tens place

and 1 block in ones make 2 tens and 1 ones is 21.

**Apply and Grow: Practice**

Question 2.

___3___ tens and __5____ ones is ___35___ .

Answer:

3 tens and 5 ones is 35

Explanation:

Given in the picture there are 3 ten blocks in tens place

and 5 blocks in ones make 3 tens and 5 ones is 35.

Question 3.

___6___ tens and ___6___ ones is ___6___ .

Answer:

6 tens and 6 ones is 66

Explanation:

Given in the picture there are 6 ten blocks in tens place

and 6 blocks in ones make 6 tens and 6 ones is 66.

Question 4.

__8____ tens and __9____ ones is __89____ .

Answer:

8 tens and 9 ones is 89

Explanation:

Given in the picture there are 8 ten blocks in tens place

and 9 blocks in ones make 8 tens and 9 ones is 89.

Question 5.

**YOU BE THE TEACHER**

You have 92 linking cubes. Your friend says that there are 2 tens and 9 ones.

Is your friend correct? Show how you know.

Answer:

No, friend is incorrect.

Explanation:

Given I have 92 linking cubes, friend says that there are 2 tens and 9 ones,

but 92 means as shown in picture we get 9 tens and 2 ones,

therefore friend is in correct.

**Think and Grow: Modeling Real Life**

Your teacher has 2 packages of dice and 3 extra dice. Each package has 10 dice. How many dice are there in all?

Draw a picture:

Write the missing numbers: ___2___ tens and __3____ ones _is__23___ dice

Answer:

2 tens and 3 ones is 23 dice are there in all.

Explanation:

Given my teacher has 2 packages of dice and 3 extra dice.

Each package has 10 dice, 2 packages means 2 X 10 = 20 dice

and 3 extra dice making in all 2 tens and 3 ones is 23 dice as shown in picture.

**Show and Grow**

Question 6.

You have 3 boxes of colored pencils and 4 extra colored pencils. Each box has 10 pencils. How many colored pencils are there in all?

Draw a picture:

Write the missing numbers: ___3___ tens and __4____ ones _is_34__ colored pencils

Answer:

3 tens and 4 ones is 34 colored pencils.

Explanation:

Given I have 3 boxes of colored pencils and 4 extra colored pencils.

Each box has 10 pencils, So 3 boxes have 3 X 10 = 30 pencils and 4 extra

makes 30 + 4 = 34, 3 tens and 4 ones is 34 colored pencils are there in all.

### Tens and Ones Practice 6.5

Question 1.

__7____ tens and ___9___ ones is __79____ .

Answer:

7 tens and 9 ones is 79.

Explanation:

Given in the picture there are 7 ten blocks in tens place

and 9 blocks in ones make 7 tens and 9 ones is 79.

Question 2.

__8____ tens and ___1___ ones _is 81_____ .

Answer:

8 tens and 1 ones is 81.

Explanation:

Given in the picture there are 8 ten blocks in tens place

and 1 blocks in ones make 8 tens and 1 ones is 81.

Question 3.

___2___ tens and __4___ ones is 24_ .

Answer:

2 tens and 4 ones is 24.

Explanation:

Given in the picture there are 2 ten blocks in tens place

and 4 blocks in ones make 2 tens and 4 ones is 24.

Question 4.

**YOU BE THE TEACHER**

You have 17 linking cubes. Your friend says that there is 1 ten and 7 ones. Is your friend correct? Show how you know.

Answer:

Yes, friend is correct.

Explanation:

Given I have 17 linking cubes, friend says that there is 1 ten and 7 ones,

means as shown in picture we get 1 ten and 7 ones, similar to what friend says,

therefore friend is correct.

Question 5.

**Modeling Real Life**

You have 5 bags of apples and 1 extra apple. Each bag has 10 apples. How many apples are there in all?

_____51______ apples

Answer:

5 tens and 1 ones is 51 apples.

Explanation:

Given I have 5 bags of apples and 1 extra apple.

Each bag has 10 apples, So 5 bags have 5 X 10 = 50 apples and 1 extra apple

makes 50 + 1 = 51, 5 tens and 1 ones is 51 apples are there in all.

**Review & Refresh**

Question 6.

_____4_____ + 6 = 10

Answer:

4 + 6 = 10

Explanation:

Given ____ + 6 = 10, let us take the missing

number as X , X + 6 = 10, X = 10 – 6 = 4 making

the equation as 4 + 6 = 10.

Question 7.

_____6______ + 2 = 8

Answer:

6 + 2 = 8

Explanation:

Given ____ + 2 = 8, let us take the missing

number as X , X + 2 = 8, X = 8 – 2 = 6 making

the equation as 6 + 2 = 8.

### Lesson 6.6 Make Quick Sketches

**Explore and Grow**

Model the number 2.

Answer:

2 ones is 2.

Explanation:

Model shown in the picture are 2 ones,

So 2 blocks in ones place, as shown in picture

making 2 ones ,therefore the number is 2.

**Show and Grow**

Make a quick sketch. Complete the sentence.

Question 1.

72

__72____ is ____7____ tens and __2____ ones.

Answer:

72 is 7 tens and 2 ones.

Explanation:

The picture has 7 ten blocks in tens place

and 2 blocks in ones makes 72 as 7 tens and 2 ones.

Question 2.

36

__36____ is ___3__ tens and __6_ ones.

Answer:

36 is 3 tens and 6 ones.

Explanation:

The picture has 3 ten blocks in tens place

and 6 blocks in ones makes 36 as 3 tens and 6 ones.

**Apply and Grow: Practice**

Make a quick sketch. Complete the sentence.

Question 3.

45

___45___ is ___4_____ tens and ___5___ ones.

Answer:

45 is 4 tens and 5 ones.

Explanation:

The picture has 4 ten blocks in tens place

and 5 blocks in ones makes 45 as 4 tens and 5 ones.

Question 4.

87

___87___ is ___8___ tens and ___7___ ones.

Answer:

87 is 8 tens and 7 ones.

Explanation:

The picture has 8 ten blocks in tens place

and 7 blocks in ones makes 87 as 8 tens and 7 ones.

Question 5.

64

__64____ is ___6____ tens and ___4___ ones.

Answer:

64 is 6 tens and 4 ones.

Explanation:

The picture has 6 ten blocks in tens place

and 4 blocks in ones makes 64 as 6 tens and 4 ones.

Question 6.

**DIG DEEPER!**

Which sketch shows 54?

Answer:

First sketch shows 54.

Explanation:

Given 2 sketches in that first counts 54 and second counts

45, So first sketch shows 54, So selected first one for 54.

**Think and Grow: Modeling Real Life**

You need 58 plates for a party. You have 51. How many more plates do you need?

Complete the model:

____7_______ more plates

Answer:

I need 7 more plates.

Explanation:

Given I need 58 plates for a party and I have 51,

therefore more plates needed are 58 – 51 = 7 plates

as shown in the picture above.

**Show and Grow**

Question 7.

You need 80 tickets for a prize. You have 73. How many more tickets do you need?

Complete the model:

_____7______ more tickets

Answer:

I need 7 more tickets.

Explanation:

Given I need 80 tickets for a prize and I have 73,

therefore more tickets needed are 80 – 73 = 7 plates

as shown in the picture above.

### Make Quick Sketches Practice 6.6

Make a quick sketch. Complete the sentence.

Question 1.

27

__27____ is ____2____ tens and ___7___ ones.

Answer:

27 is 2 tens and 7 ones.

Explanation:

The picture has 2 ten blocks in tens place

and 7 blocks in ones makes 27 as 2 tens and 7 ones.

Question 2.

61

__61__ is ___6__ tens and ___1___ ones.

Answer:

61 is 6 tens and 1 one.

Explanation:

The picture has 6 ten blocks in tens place

and 1 blocks in one makes 61 as 6 tens and 1 one.

Question 3.

92

___92___ is ___9_____ tens and ___2___ ones.

Answer:

92 is 9 tens and 2 ones.

Explanation:

The picture has 9 ten blocks in tens place

and 2 blocks in ones makes 92 as 9 tens and 2 ones.

Question 4.

**DIG DEEPER**

Which sketch shows 87?

Answer:

First sketch shows 87.

Explanation:

Given 2 sketches in that first counts 87 and second counts

78, So first sketch shows 87, So selected first one for 87.

Question 5.

**Modeling Real Life**

You need 55 beads to make a necklace. You have 48. How many more beads do you need?

____7______ more beads

Answer:

I need 7 more beads.

Explanation:

Given I need 55 beads to make necklace and I have 48,

therefore more beads needed are 55 – 48 = 7 beads.

**Review & Refresh**

Question 6.

Color the shapes that have only 4 sides.

Answer:

Explanation:

Given some shapes and to color that have 4 sides so selected shapes

that has 4 sides and have colored as shown above in the picture.

### Lesson 6.7 Understand Place Value

**Explore and Grow**

Newton has 2 rods. Make a quick sketch.

Write the number.

Answer:

Newton has 2 rods or 20 cubes

Explanation:

Given Newton has 2 rods as shown in the picture means 20 cubes.

Descartes has 2 cubes. Make a quick sketch.

Write the number.

Answer:

Descartes has 2 cubes

Explanation:

Given Descartes has 2 cubes as shown in picture 2 cubes.

How are the models alike? How are they different?

Answer:

Both use cubes so alike,

Both differ in number so different.

Explanation:

Models are alike means both use cubes.

They are different Newton has 20 cubes and Descartes have 2 cubes,

20 and 2 are not the same and are not equal so they are different.

**Show and Grow**

Question 1.

Make a quick sketch. Complete the sentences.

64

_____6_____ tens is ____60______ .

____4______ ones is ____4______ .

_____6_____ tens and ____4______ ones is ___64_______.

Answer:

6 tens is 60,

4 ones is 4, 6 tens and 4 ones is 64.

Explanation:

As shown in the picture above first we take 6 tens cubes as 60

and 4 ones cubes as 4, making 6 tens and 4 ones is 64.

**Apply and Grow: Practice**

Make a quick sketch. Complete the sentences.

Question 2.

72

_____7_____ tens is ____70______ .

_____2_____ ones is ____2______ .

______7____ tens and ____2______ ones is ___72__.

Answer:

7 tens is 70,

2 ones is 2, 7 tens and 2 ones is 72.

Explanation:

As shown in the picture above first we take 7 tens cubes as 70

and 2 ones cubes as 2, making 7 tens and 2 ones is 72.

Question 3.

98

__9____ tens is ___90____ .

___8____ ones is ___8_____ .

___9____ tens and ____8____ ones is ___98___.

Answer:

9 tens is 90,

8 ones is 8, 9 tens and 8 ones is 98.

Explanation:

As shown in the picture above first we take 9 tens cubes as 90

and 8 ones cubes as 8, making 9 tens and 8 ones is 98.

Question 4.

57

____5______ tens is ___50_______ .

_____7_____ ones is ____7______ .

______5____ tens and _____7_____ ones is ____57______.

Answer:

5 tens is 50,

7 ones is 7, 5 tens and 7 ones is 57.

Explanation:

First we take 5 tens cubes as 50

and 7 ones cubes as 7, making 5 tens and 7 ones is 57.

**Think and Grow: Modeling Real Life**

You have 94 charms to make bracelets. There are lo charms on each bracelet. How many bracelets can you make?

Model:

Write the missing numbers: ___9___ tens and ___4___ ones ___9___ bracelets

Answer:

9 tens and 4 ones is 94,

I make 9 bracelets.

Explanation:

Given I have 94 charms to make bracelets. There are lo charms

on each bracelet. So I divide 94 with 10 I get 9 as whole

and 4 as remainder so I cannot make with 4 charms,

I consider only whole so I take 9,therefore I can make 9 bracelets

or as I have 9 tens and 4 ones I take only tens so 9 bracelets I can make.

**Show and Grow**

Question 5.

You have 67 seeds. You plant 10 seeds in a row. How many rows can you plant?

Model:

Write the missing numbers: ___6___ tens and __7____ ones __6____ rows

Answer:

6 tens and 7 ones is 67,

I can plant 6 rows.

Explanation:

Given I have 67 seeds. I can plant 10 seeds in a row

So I divide 67 with 10 I get 6 as whole

and 7 as remainder so I cannot make with 7 seeds a row ,

I consider only whole so I take 6,therefore I can make 6 rows only,

or as I have 6 tens and 7 ones I take only tens so 6 rows I can make.

### Understand Place Value Practice 6.7

Make a quick sketch. Complete the sentences.

Question 1.

81

_____8_____ tens is ___80_______ .

_____1_____ ones is ____1______ .

_____8_____ tens and ____1______ ones is ____81______.

Answer:

8 tens is 80,

1 one is 1, 8 tens and 1 one is 81.

Explanation:

As shown in the picture above first we take 8 tens cubes as 80

and 1 one cubes as 1, making 8 tens and 1 one is 81.

Question 2.

53

_____5_____ tens is _____50_____ .

______3____ ones is ____3______ .

______5____ tens and _____3____ ones is ___53_____.

Answer:

5 tens is 50,

3 ones is 3, 5 tens and 3 ones is 53.

Explanation:

As shown in the picture above first we take 5 tens cubes as 50

and 3 ones cubes as 3, making 5 tens and 3 ones is 53.

Question 3.

49

___4_______ tens is ____40______ .

_____9_____ ones is ____9______ .

______4____ tens and ____9__ ones is __49__.

Answer:

4 tens is 40,

9 ones is 9, 4 tens and 9 ones is 49.

Explanation:

As shown in the picture above first we take 4 tens cubes as 40

and 9 ones cubes as 9, making 4 tens and 9 ones is 49.

Question 4.

76

____7______ tens is ____70______ .

______6____ ones is ____6______ .

____7______ tens and ____6______ ones is ____76______.

Answer:

7 tens is 70,

6 ones is 6, 7 tens and 6 ones is 76.

Explanation:

As shown in the picture above first we take 7 tens cubes as 70

and 6 ones cubes as 6, making 7 tens and 6 ones is 76.

Question 5.

**Modeling Real Life**

You have 77 crayons. A box can hold 10 crayons. How many boxes can you fill?

_____7____ boxes

Answer:

7 tens and 7 ones is 77,

I can fill 7 boxes.

Explanation:

Given I have 77 crayons, A box can hold 10 crayons,

So I divide 77 with 10 I get 7 as whole

and 7 as remainder I consider only whole so I take 7,

therefore I need 7 boxes to fill or as I have 7 tens and 7 ones to

fill I take only tens so 7 boxes I can fill.

**Review & Refresh**

Is the equation true or false?

Question 6.

Answer:

4 + 9 ≠ 2 + 3 + 5

Not equal, So false

Equation:

First we see 4 and 9 as 4 + 9 is 13 and

if we add 2,3 and 5 we get 10 ,

therefore 4 + 9 ≠ 2 + 3 +5, So false.

Question 7.

Answer:

5 + 3 = 4 + 4

Is equal, So true

Explanation:

First we see 5 + 3 as we add 5 and 3 we get 8 and

4 + 4 is 8 both sides are equal, So equations are true.

### Lesson 6.8 Write Numbers in Different Ways

**Explore and Grow**

Model 27 two ways.

_____2___ tens and __7_____ ones is ___27_____ .

_____1___ ten and ___17____ ones is ___27_____ .

Answer:

one way is

2 tens and 7 ones is 27.

Other way is

1 ten and 17 ones is 27.

Explanation:

One way is we add 2 tens and 7 ones equal to 27,

20 + 7 = 27 and other way is 1 ten and 17 ones is 27,

10 + 17 = 27.

**Show and Grow**

Question 1.

Model 25 two ways.

____2____ tens and ____5___ ones is 25.

Answer:

2 tens and 5 ones is 25.

Explanation:

we add 20 and 5 we get 25, So 2 tens and 5 ones is 25.

____1____ tens and __15_____ ones is 25.

Answer:

1 ten and 15 ones is 25

Explanation:

we add 10 and 25 we get 25, So 1 ten and 15 ones is 25.

**Apply and Grow: Practice**

Question 2.

Model 52 two ways.

____5____ tens and ___2____ ones is 52.

Answer:

5 tens and 2 ones is 52.

Explanation:

We add 50 and 2 we get 52, So 5 tens and 2 ones is 52.

______4__ tens and ____12___ ones is 52.

Answer:

4 tens and 12 ones is 52.

Explanation:

First we take 40 and add to 12 we get 52,

40 + 12 = 52, therefore 4 tens and 12 ones is 52.

Question 3.

Model 14 two ways.

___1_____ tens and ___4____ ones is 14.

Answer:

1 ten and 4 ones is 14

Explanation:

we add 10 + 4 = 14,

So 1 ten and 4 ones is 14.

___0_____ tens and ___14____ ones is 14.

Answer:

14 ones is 14

Explanation:

we add 0 + 14 = 14,

0 tens and 14 ones is 14.

Question 4.

**DIG DEEPER!**

Circle all of the ways that show 39.

3 + 9 2 tens and 9 ones 9 tens and 3 ones

10 + 29 3 tens and 19 ones 39 ones

Answer:

Circled the ways that show 39 are 10 + 29 and 39 ones

Explanation:

As shown in picture circled all of the ways that show 39,

3 + 9 = 12 ≠ 39 so not circled,

2 tens and 9 ones is 29 ≠ 39 so not circled,

9 tens and 3 ones is 93 ≠ 39 so not circled,

10 + 29 = 39 = 39 so circled it,

3 tens and 19 ones is 30 + 19 is 49 ≠ 39 so not circled,

39 ones is 39 = 39 so circled it.

**Think and Grow: Modeling Real Life**

The models show how many seashells you and your friend have. Does your friend have the same number of seashells as you?

Circle: Yes No

Show how you know:

Answer:

No friend does not have the same number of

seashells as much as I have.

Explanation:

After counting I have total 25 seashells and friend have 30,

Both do not have same or equal number of seashells ,

So circled No as shown in the picture above.

**Show and Grow**

Question 5.

The models show how many erasers you and your friend have. Does your friend have the same number of erasers as you?

Circle: Yes No

Show how you know:

Answer:

Yes, I and my friend have the same number of erasers.

Explanation:

After counting I have total 40 erasers and friend also have 40,

Both have the same or equal number of erasers,

So circled Yes as shown in the picture above.

### Write Numbers in Different Ways Practice 6.8

Question 1.

Model 49 two ways.

__4______ tens and

___9____ ones

is 49.

Answer:

4 tens and 9 ones is 49.

Explanation:

Adding 40 to 9 is 40 + 9 = 49,

so 4 tens and 9 ones is 49.

___30_____ tens and

____19____ ones

is 49.

Answer:

30 tens and 19 ones is 49.

Explanation:

We add 30 and 19 we get 49,

So 30 tens and 19 ones make 49.

Question 2.

**DIG DEEPER!**

Circle all of the ways that show 45.

40 + 5 45 tens and 0 ones 4 tens and 5 ones

20 + 15 2 tens and 25 ones 54 ones

Answer:

Circled the ways that show 45 are 40 + 5,

4 tens and 5 ones and 2 tens and 25 ones.

Explanation:

As shown in picture circled all of the ways that show 45,

40 + 5 = 45 = 45 so circled it,

45 tens and 0 ones is 450 ≠ 45 so not circled,

4 tens and 5 ones is 45 = 45 so circled it,

20 + 15 = 35 ≠ 45 so not circled,

2 tens and 25 ones is 20 + 25 is 45 = 45 so circled it,

54 ones is 54 ≠ 45 so not circled.

Question 3.

**Modeling Real Life**

The models show the number of toy cars you and your friend have. Does your friend have the same number of toy cars as you?

Circle: Yes No

Show how you know:

Answer:

Yes, friend have the same number of toy cars as I have.

Explanation:

After counting I have total 34 toy cars and friend also have 34 ,

Both have same or equal number of toy cars,

So circled Yes as shown in the picture above.

**Review & Refresh**

Circle the heavier object.

Question 4.

Answer:

Circled ball.

Explanation:

Given ball and balloon as ball is

heavier object than balloon I circled it.

Question 5.

Answer:

Circled 4 bananas

Explanation:

Given 4 bananas and 1 banana as 4 bananas are

heavier object than 1 banana I circled it.

### Lesson 6.9 Count and Write Numbers to 120

**Explore and Grow**

How many balls are there? How did you count?

Answer:

Number of balls are 106. Counted one after another.

Explanation:

There are total 106 balls, we start pointing and counting

from first ball as one add next ball and so on counting

till we reach the last ball ,we get total 106 balls.

**Show and Grow**

Question 1.

Answer:

10 tens and 7 ones is 107.

Explanation:

Given in the picture if we count there are

100 + 7 = 107 , 10 tens and 7 ones is 107.

Question 2.

Answer:

11 tens and 5 ones is 115.

Explanation:

Given in the picture if we count there are

110 + 5 = 107 , 11 tens and 5 ones is 115.

**Apply and Grow: Practice**

Question 3.

Answer:

6 tens and 4 ones is 64.

Explanation:

Given in the picture if we count there are

60 + 4 = 64 , 6 tens and 4 ones is 64.

Question 4.

Answer:

9 tens and 8 ones is 98.

Explanation:

Given in the picture if we count there are

90 + 8 = 98 , 9 tens and 8 ones is 98.

Question 5.

Answer:

10 tens and 1 one is 101.

Explanation:

Given in the picture if we count there are

100 + 1 = 101 , 10 tens and 1 one is 101.

Question 6.

Answer:

10 tens and 3 ones is 103.

Explanation:

Given in the picture if we count there are

100 + 3 = 103 , 10 tens and 3 ones is 103.

Question 7.

Answer:

11 tens and 0 ones is 110.

Explanation:

Given in the picture if we count there are

110 + 0 = 110 , 11 tens and 0 ones is 110.

Question 8

**DIG DEEPER!**

What number is equal to lo tens and 8 ones? Show how you know.

Answer:

The number equal to 10 tens and 8 ones is 108

Explanation:

Given to find number equal to 10 tens and 8 ones,

as shown in figure taken 10 tens and 8 ones ,

the number is equal to 100 + 8 = 108.

**Think and Grow: Modeling Real Life**

Your teacher has 12 bags of balloons. Each bag has 10 balloons. How many balloons are there in all?

Model:

____120_______ balloons

Answer:

There are 120 balloons are there in all.

Explanation:

Given my teacher has 12 bags of balloons and

each bag has 10 balloons so in all there are

12 X 10 = 120 balloons.

**Show and Grow**

Question 9.

A dentist has 10 boxes of toothbrushes and 9 extra toothbrushes. Each box has 10 toothbrushes. How many toothbrushes are there in all?

Model:

___109________ toothbrushes

Answer:

10 tens and 9 ones is 109.

There are 109 tooth brushes are there in all.

Explanation:

Given a dentist has 10 boxes of toothbrushes and

9 extra toothbrushes, each box has 10 toothbrushes

means 10 x 10 = 100 and 9 extra makes 100 + 9 = 109 or

10 tens and 9 ones is 109 tooth brushes are there in all.

### Count and Write Numbers to 120 Practice 6.9

Question 1.

Answer:

7 tens and 9 ones is 79.

Explanation:

Given in the picture if we count there are

70 + 9 = 79 , 7 tens and 9 ones is 79.

Question 2.

Answer:

11 tens and 5 ones is 115.

Explanation:

Given in the picture if we count there are

110 + 5 = 115 , 11 tens and 5 ones is 115.

Question 3.

Answer:

12 tens and 0 ones is 120.

Explanation:

Given in the picture if we count there are

120 + 0 = 120 , 12 tens and 0 ones is 120.

Question 4.

Answer:

9 tens and 2 ones is 92.

Explanation:

Given in the picture if we count there are

90 + 2 = 92 , 9 tens and 2 ones is 92.

Question 5.

**DIG DEEPER!**

What number is equal to 11 tens and 2 ones? Show how you know.

Answer:

The number equal to 11 tens and 2 ones is 112.

Explanation:

We have 11 tens and 2 ones as shown in picture

11 tens is 110 and 2 ones is 2 so 110 + 2= 112.

Question 6.

**Modeling Real Life**

You have 4 packs of baseball cards and 6 packs of football cards. Each pack has 10 cards. How many cards do you have in all?

_____100_______ cards

Answer:

I have in total 100 cards in all.

Explanation:

Given I have 4 packs of baseball cards and

6 packs of football cards, Each pack has 10 cards,

therefore 4 packs of baseball means 4 X 10 = 40 cards,

6 packs of football cards have 6 X 10 = 60 cards, In total

I have 40 + 60 =100 cards in all.

**Review & Refresh**

Make a 10 to add.

Question 7.

Answer:

Sum is 6 + 4 + 1 = 11 or 10 + 1 = 11,

So 6 + 5 = 11

Explanation:

First we make sum 10 , For 6 to make 10 we need 10-6=4,

as we have to add 4 to 6 now we will minus 4 from 5 we get 5 – 4 = 1,

Now we write the total sum as 6 + 4 + 1 = 11 or

10 + 1 = 11 or 6 + 5 = 11.

Question 8.

Answer:

Sum is 7 + 3 + 5 = 15 or 10 + 5 = 15,

So 7 + 8 = 15

Explanation:

First we make sum 10 , For 7 to make 10 we need 10-7=3,

as we have to add 3 to 7 now we will minus 3 from 8 we get 8 – 3 = 5,

Now we write the total sum as 7 + 3 + 5 = 15 or

10 + 5 = 15 or 7 + 8 = 15.

### Count and Write Numbers to 120 Performance Task

Question 1.

Your class sells candles for a fundraiser. You earn 10 dollars for every large candle you sell and 1 dollar for every small candle.

a. You sell 6 large candles. How much money do you raise?

Answer:

I raised 60 dollars.

Explanation:

Given my class sells candles for a fundraiser.

I earn 10 dollars for every large candle I sell ,

I sold 6 large candles means 6 X 10 = 60 dollars,

So I raised 60 dollars.

b. You want to raise 72 dollars. How much more money do you need to raise?

_____12_____ more dollars

Answer:

I need 12 more dollars to raise 72 dollars.

Explanation:

I know I raised 60 dollars to raise 72 dollars

I need more is 72 – 60 = 12 dollars.

c. You also sell 12 small candles. Do you reach your goal?

Yes No

Answer:

Yes, I reached my goal.

Explanation:

Given I earn1 dollar for every small candle I sell,

I sold 12 small candles means 12 X 1= 12 dollars,

In total I sold 6 large candles and 12 small candles

I raised total 60 + 12 = 72 dollars which is similar to

which I want to raise, So yes I reached my goal.

Question 2.

Your friend wants to raise 54 dollars. What are two ways your friend can sell large and small candles to reach her goal?

_____5____ large candles and ____4______ small candles

_____4_____ large candles and ___14_______ small candles

Answer:

5 large candles and 4 small candles,

4 large candles and 14 small candles.

Explanation:

I know if I sell 1 large candle I earn 10 dollars

and if I sell 1 small candles I earn 1 dollar to raise

54 dollars my friend can sell 5 tens and 4 ones is 54,

5 X 10 + 4 X 1 = 50 + 4 = 54,

So 5 large candles and 4 small candles makes 54 dollars

She can even sell 4 tens and 14 ones is 54,

4 X 10 + 14 X 1 = 40 + 14 = 54,

So 4 large candles and 14 small candles makes 54 dollars.

### Count and Write Numbers to 120 Chapter Practice

### Count to 120 by Ones Homework & Practice 6.1

Question 1.

Count by ones to write the missing numbers.

99, __100___, ___101___, __102___, __103___, ___104___

Answer:

The missing numbers after 99 are 100,101,102,103,104

Explanation:

Started from 99 counting by 1’s numbers after 99 are

99 + 1 = 100, 100 + 1 = 101,101 + 1 = 102, 102 + 1 = 103,

104 + 1 = 105, So the missing numbers after 99 are 100,101,102,103,104.

write the missing numbers.

Question 2.

Answer:

The missing numbers in the chart are 69,71,78,80.

Explanation:

The missing number after 68 is 68 + 1 = 69,

the number after 70 is 70 + 1 = 71,

the number before 79 is 79 – 1 = 78 and

number before 81 is 81 – 1 = 80, So the missing

numbers in the chart are 69,71,78 and 80.

Question 3.

Answer:

The missing numbers in the chart are 101,103,110,112,113

Explanation:

The missing number after 100 is 100 + 1 = 101,

the number after 102 is 102 + 1 = 103,

the number before 111 is 111 – 1 = 110,

the number after 111 is 111 + 1 = 112,

the number after 112 is 112 + 1 = 113,

So the missing numbers in the chart are 101,103,110,112,113.

### Count to 120 by Tens Homework & Practice 6.2

Question 4.

Write the missing numbers from the chart. Then count on by tens to write the next two numbers.

Answer:

The missing numbers in the chart are 84,94 and

count on 10’s the next two numbers after 94 are 104,114.

Explanation:

Given numbers in the chart, the number missing before 85

is 85 – 1 = 84 and number missing after 93 and before 94 in the chart is

93 + 1= 94 or 95 – 1 = 94,now counting by 10’s next

two numbers after 94 are 94 + 10 = 104,104 + 10 = 114,

Therefore the missing numbers in the chart are 84 and 94

count on 10’s the next two numbers after 94 are 104,114.

Question 5.

**YOU BE THE TEACHER**

Your friend counts by tens starting with 53. Is your friend correct? Show how you know.

53, 63, 73, 83, 103

Answer:

No friend is Incorrect.

Explanation:

Given friend counts by tens starting with 53 after 53 its is

53 + 10 = 63 then 63 + 10 = 73, 73 + 10 = 83 and after 83

it is 83 + 10 = 93 not 103 therefore friend is incorrect.

### Compose Numbers 11 to 19 Homework & Practice 6.3

Question 6.

Circle 10 ducks. Complete the sentence.

____1______ ten and ____2______ ones is ___12____ .

Answer:

1 ten and 2 ones is 12.

Explanation:

Circled 10 ducks, after counting we have total

12 ducks we write the sentence as

one ten and 2 ones is twelve means 10 + 2 = 12.

1 ten and 2 ones is 12.

Question 7.

**Modeling Real Life**

You have 19 tennis balls. A bag can hold 10. You fill a bag. How many tennis balls are not in the bag?

_____9_______ tennis balls

Answer:

9 tennis balls are not there in the bag.

Explanation:

Given I have 19 tennis balls and a bag can hold 10 and

I have filled a bag so balls that are not there in the bag are

19 – 10 = 9 , So 9 tennis balls are not there in the bag.

### Tens Homework & Practice 6.4

Question 8.

Circle groups of 10. Complete the sentence.

______5____ tens and ___0___ ones is ___50______ .

Answer:

fife tens and zero ones is fifty.

5 tens and 0 ones is 50.

Explanation:

Circled 5 tens ,five tens and zero ones is fifty or

5 tens and 0 ones is 50.

### Tens and Ones Homework & Practice 6.5

Question 9.

____9_____ tens and ____9_____ ones is ___99_____ .

Answer:

9 tens and 9 ones is 99

Explanation:

Given in the picture there are 9 ten blocks in tens place

and 9 blocks in ones make 9 tens and 9 ones is 99.

Question 10.

**Modeling Real Life**

You have 6 boxes of plastic cups and 3 extra cups. Each box has 10 cups. How many cups are there in all?

_____63_____ plastic cups

Answer:

In all there are 63 plastic cups.

Explanation:

Given I have 6 boxes of plastic cups and 3 extra cups and

each box has 10 cups means 6 X 10 = 60 and 3 extra cups make

60 + 3 = 63 or 6 tens and 3 ones is 63 Plastic cups.

### Make Quick Sketches Homework & Practice 6.6

Make a quick sketch. Complete the sentence.

Question 11.

17

____17____ is ____1___ ten and ____7____ ones.

Answer:

17 is 1 tens and 7 ones.

Explanation:

Given in the picture there are 1 ten blocks in tens place

and 7 blocks in ones make 17 as 1 tens and 7 ones.

Question 12.

84

___84____ is ____8___ tens and ___4__ ones.

Answer:

84 is 8 tens and 4 ones is 84

Explanation:

Given in the picture there are 8 ten blocks in tens place

and 4 blocks in ones make 84 as 8 tens and 4 ones.

### Understand Place Value Homework & Practice 6.7

Question 13.

39

______3____ tens is ____30______ .

______9____ ones is ____9______ .

_____3____ tens and ____9______ ones is ____39______ .

Answer:

3 tens is 30,

9 ones is 9,

So 3 tens and 9 ones is 39.

Explanation:

As shown in the picture above first we take 3 tens cubes as 30

and 9 ones cubes as 9, making 3 tens and 9 ones is 39.

### Write Numbers in Different Ways Homework & Practice 6.8

Question 14.

Model 59 two ways.

_____5_____ tens and _____9_____ ones is 59.

Answer:

5 tens and 9 ones is 59

Explanation:

we add 5 X 10 = 50 and 9 X 1 = 9

we get 50 + 9 = 59,

So 5 tens and 9 ones is 59.

_____2_____ tens and ____39______ ones is 59.

Answer:

2 tens and 39 ones is 59

Explanation:

we add 2 X 10 = 20 and 39 X 1 = 39

we get 20 + 39 = 59,

So 2 tens and 39 ones is 59.

### Count and Write Numbers to 120 Homework & Practice 6.9

Question 15.

Answer:

11 tens and 4 ones is 114

Explanation:

As shown in the picture there are 11 ten blocks in tens place

and 4 blocks in ones make 11 tens and 4 ones is 114.

10 tens and 8 ones is 108

Explanation:

As shown in the picture there are 10 ten blocks in tens place

and 8 blocks in ones make 10 tens and 8 ones is 108.

*Conclusion:*

Start solving the problems in the performance task and chapter test which are at the end of the chapter and check the solutions from here. Hope the information about Big Ideas Math Book Grade 1 Answer Key Chapter 6 Count and Write Numbers to 120 is beneficial for you to overcome the difficulties in maths. Check out the links and start solving all the questions.