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## Big Ideas Math Book Grade 2 Answer Key Chapter 8 Count and Compare Numbers to 1,000

Every student has to prepare all the topics provided in BIM Grade 2 Answers Chapter 8 Count and Compare Numbers to 1,000 to score good marks in the exam. This answer key is also helpful to complete the homework and assignments within the given time. After practicing chapter 8, you can be able to understand counting. The different topics included in Big Ideas Math Book 2nd Grade Answers Chapter 8 Count and Compare Numbers to 1,000 are Count and Compare Numbers to 1,000 Vocabulary, Count to 120 in Different Ways, Count to 1,000 in Different Ways, Place Value Patterns, Find More or Less, Compare Numbers Using Symbols, and Compare Numbers Using a Number Line.

**Vocabulary**

**Lesson 1 Count to 120 in Different Ways**

**Lesson 2 Count to 1,000 in Different Ways**

- Lesson 8.2 Count to 1,000 in Different Ways
- Count to 1,000 in Different Ways Homework & Practice 8.2

**Lesson 3 Place Value Patterns**

**Lesson 4 Find More or Less**

**Lesson 5 Compare Numbers Using Symbols**

**Lesson 6 Compare Numbers Using a Number Line**

- Lesson 8.6 Compare Numbers Using a Number Line

Compare Numbers Using a Number Line Homework & Practice 8.6 - Count and Compare Numbers to 1,000 Performance Task
- Count and Compare Numbers to 1,000 Activity
- Count and Compare Numbers to 1,000 Chapter Practice
- Count and Compare Numbers to 1,000 Cumulative Practice 1 – 8

### Count and Compare Numbers to 1,000 Vocabulary

**Organize It**

Use the review words to complete the graphic organizer.

Answer:

**Define It**

Use your vocabulary cards to complete the puzzle.

**Chapter 8 Vocabulary cards**

### Lesson 8.1 Count to 120 in Different Ways

**Explore and Grow**

Start at 5. Skip count by ﬁves. Circle the numbers you count. Start at 10. Skip count by tens. Color the numbers you count.

What patterns do you notice?

____________________

____________________

Answer:

In column 5 we notice the pattern of count by tens and in column 10 we notice the pattern of count by tens.

**Show and Grow**

Question 1.

Count by ones.

35, 36, 37, ___, ____, ___, ___, ___

Answer:

35, 36, 37, 38, 39, 40, 41, 42 .

Question 2.

Count by ﬁves.

55, 60, 65, __, ___, ___, ___, ___

Answer:

55, 60, 65, 70, 75, 80, 85, 90

Question 3.

Count by tens.

21, 31, 41, ___, __, ___, ___, ___

Answer:

21, 31, 41, 51, 61, 71, 81, 91 .

**Apply and Grow: Practice**

Count by ones.

Question 4.

57, 58, 59, __, ___, ___, ___, ___

Answer:

57, 58, 59, 60, 61, 62, 63, 64

Count by ﬁves.

Question 6.

35, 40, 45, __, ___, ___, __, ___

Answer:

35, 40, 45, 50, 55, 60, 65, 70

Question 5.

__, 106, __, 108, __, ___, ___

Answer:

105, 106, 107, 108, 109, 110, 111

Count by fives.

Question 6.

35, 40, 45, __, ___, ___, ___, ___

Answer:

35, 40, 45, 50, 55, 60, 65, 70

Question 7.

__, 80, __, 90, __, __, ___

Answer:

70, 80, 90, 100, 110, 120 .

Count by tens.

Question 8.

12, 22, 32, __, ___, __, ___, __

Anwer:

12, 22, 32, 42, 52, 62, 72, 82 .

Question 9.

__, 50, __, 70, __, __, ___

Answer:

40, 50, 60, 70, 80, 90, 100 .

Question 10.

**Number Sense**

Newton counts by ones from 47 to 53. Which numbers does he count?

Answer:

counts by ones from 47 to 53 are :

47, 48, 49, 50, 51, 52, 53 .

numbers does he count are 49 and 52 numbers

Question 11.

**Number Sense**

Descartes counts by ﬁves from 90 to 115. Which numbers does he count?

Answer:

counts by ﬁves from 90 to 115 are :

90, 95, 100, 105, 110, 115 .

numbers does he count are 105 and 110 .

**Think and Grow: Modeling Real Life**

Newton has 65 points. He captures small aliens worth 5 points. Descartes has 25 points. He captures large aliens worth 10 points.

Answer:

Number of points Newton have = 65

Number of points for small aliens = 5.

Number of aliens did Newton have = 65 / 5 = 13.

Number of points Descartes have = 25

Number of points for Large aliens = 10.

Number of aliens did Descartes have = 25 / 10 = 2.5

Newton have more aliens than Descartes.so Descartes needs more aliens .

**Show and Grow**

Question 12.

Newton has 55 points. He collects gold coins worth 10 points. Descartes has 70 points. He collects silver coins worth 5 points. Who needs to collect more coins to reach 100 points?

Answer:

Number of points Newton have = 55 points

he collects gold coins worth = 10 points each .

for 100 points newton requires 45 points

Number of coins required for 45 points for Newton= 45/ 10 = 4.5 coins.

Number of points Descartes have = 70 points

he collects silver coins worth = 5 points each .

for 100 points Descartes requires 30 points

Number of coins required for 30 points for Descartes= 30/ 5 = 6 coins.

Descartes requires more 6 coins to reach 100 points .

Question 13.

You and your friend count from 30 to 70. You count by ﬁves. Your friend counts by tens. Who says more numbers? Explain.

Answer:

Count by fives:( by me)

30, 35, 40, 45, 50, 55, 60, 65, 70 = total 9 numbers.

Count by tens:( my friend)

30, 40, 50, 60, 70 = total 5 numbers.

I say more numbers than my friend .

### Count to 120 in Different Ways Homework & Practice 8.1

Count by ones.

Question 1.

63, 64, 65, __, __, ___, ___, ___

Answer:

63, 64, 65, 66, 67, 68, 69, 70 .

Question 2.

__, 112, __, 114, __, __, ___

Answer:

111, 112, 113, 114, 115, 116, 117 .

Count by fives.

Question 3.

10, 15, 20, __, __, ___, __, ___

Answer:

10, 15, 20, 25, 30, 35, 40, 45 .

Question 4.

__, 95, __, 105, __, __, ___

Answer:

90, 95, 100, 105, 110, 115, 120 .

Count by tens.

Question 5.

44, 54, 64, __, __, __, ___, __

Answer:

44, 54, 64, 74, 84, 94, 104 .

Question 6.

__, 20, __, 40, __, __, __

Answer:

10, 20, 30, 40, 50, 60, 70 .

Question 7.

**YOU BE THE TEACHER**

Newton counts by ﬁves. Is he correct? Explain.

Answer:

No, Count by fives means 5, 10, 15, 20, 25, 30 and so on …..

As per the above count 5, 15, 25, 35, 45, 55 they are count by tens as there is 10 differences between the sequence of numbers.

Question 8.

**Modeling Real Life**

Who needs to make more shots to earn 50 points?

Answer:

Newton

Number of points with Newton = 30 .

Newton requires more 20 points to make it 50 points

Points for one shot = 5 .

Number of shots required for Newton = 20 / 5 = 4 shots.

Descartes

Number of points with Descartes = 20 .

Descartes requires more 30 points to make it 50 points

Points for one shot = 10 .

Number of shots required for Descartes = 30 / 10 = 3 shots.

Therefor Newton needs to make more shots than Descartes .

**Review & Refresh**

Question 9.

34 – 16 = ?

Answer:

Question 10.

75 – 32 = ?

Answer:

Question 11.

93 – 28 = ?

Answer:

### Lesson 8.2 Count to 1,000 in Different Ways

**Explore and Grow**

Count by hundreds to 1,000.

Answer:

Count by tens to 1,000.

Answer:

Count by ﬁves to 1,000.

Answer:

Count by ones to 1,000.

Answer:

**Show and Grow**

Question 1.

Count by ﬁves.

675, 680, 685, __, __, __, __, ___

Answer:

675, 680, 685, 690, 695, 700, 705, 710 .

Question 2.

Count by tens.

850, 860, 870, __, __, __, __, ___

Answer:

850, 860, 870, 880, 890, 900, 910, 920 .

Question 3.

Count by hundreds.

100, 200, 300, __, __, __, __, ___

Answer:

100, 200, 300, 400, 500, 600, 700, 800 .

Apply and Grow: Practice

Count by ﬁves.

Question 4.

520, 525, 530, __, __, __, __, ___

Answer:

520, 525, 530, 535, 540, 545, 550, 555 .

Question 5.

875, 880, __, __, __, __, ___

Answer:

875, 880, 885, 890, 895, 900, 905 .

Count by tens.

Question 6.

600, 610, 620, __, __, __, __, ___

Answer:

600, 610, 620, 630, 640, 650, 660, 670 .

Question 7.

460, 470, __, __, __, __, ___

Answer:

460, 470, 480, 490, 500, 510, 520 .

Count by hundreds.

Question 8.

200, 300, 400, __, __, __, __, ___

Answer:

200, 300, 400, 500, 600, 700, 800, 900 .

Question 9.

400, 500, __, __, __, __, __

Answer:

400, 500, 600, 700, 800, 900, 1000 .

Question 10.

**DIG DEEPER!**

Newton counts by hundreds. Find the missing number. Think: How do you know?

Answer:

The missing number is 0 as the count start from 0, 100, 200, 300, 400, 500 Each number is 100 more than the previous number.

Question 11.

**Structure**

Did Descartes count by tens or by hundreds? Think: How do you know?

Answer:

It is count by tens as Each number is 10 more than the previous number .

**Think and Grow: Modeling Real Life**

A summer camp leader has 240 T-shirts. He buys 6 more colors with 10 shirts in each color. How many T-shirts does he have now?

Answer:

Number of T-Shirts = 240.

Number of T-shirts were bought = 6 X 10 ( 6 different colors ) = 60 T-shirts .

Total Number of T-Shirts = 240 + 60 = 300 .

**Show and Grow**

Question 12.

You have 100 bracelets. You buy 5 more boxes with 100 bracelets in each box. How many bracelets do you have now?

Answer:

Number of Bracelets = 100.

Number of Boxes bought = 5 x 100 = 500 bracelets.

Total Number of Bracelets = 100 + 500 = 600 bracelets.

Question 13.

You and your friend count from 370 to 420. You count by tens. Your friend counts by ﬁves. Who says more numbers? Explain.

_________________________

_________________________

Answer:

Count by Tens:( by me)

370, 380, 390, 400, 410, 420 . = total 6 numbers.

Count by fives:( my friend)

370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420 = total 11 numbers.

My friends say more numbers than me .

### Count to 1,000 in Different Ways Homework & Practice 8.2

Count by fives.

Question 1.

445, 450, 455, ___, __, __, __, ___

Answer:

445, 450, 455, 460, 465, 470, 475, 480 .

Question 2.

770, 775, __, __, __, __, ___

Answer:

770, 775, 780, 785, 790, 795, 800,

Count by tens.

Question 3.

520, 530, 540, __, __, __, __, __

Answer:

520, 530, 540, 550, 560, 570, 580, 590 .

Question 4.

660, 670, __, __, __, __, ___

Answer:

660, 670, 680, 690, 700, 710, 720 .

Count by Hundreds.

Question 5.

300, 400, 500, __, __, __, __, ___

Answer:

300, 400, 500, 600, 700, 800, 900, 1000.

Question 6.

200, 300, __, __, __, __, ___

Answer:

200, 300, 400, 500, 600, 700, 800 .

Review & Refresh

Question 7.

**DIG DEEPER!**

Newton starts at 950 and counts to 1,000 by ﬁves. Complete the number line to show the last 6 numbers he counts.

Answer:

Question 8.

**Modeling Real Life**

A carnival worker has 380 stuffed animals. She buys 6 more boxes with 5 stuffed animals in each box. How many stuffed animals does she have now?

Answer:

Number of stuffed animals = 380 .

Number of animals bought = 6 x 5 = 30.

Total Number of stuffed animals = 380 + 30 = 410 Animals .

Question 9.

**Modeling Real Life**

A water park shop owner has 100 goggles. He buys 4 more colors with 100 goggles in each color. How many goggles does the shop owner have now?

Answer:

Number of Goggles = 100.

Number of goggles bought = 4 x 100 = 400

Total Number of Goggles = 100 + 400 = 500 Goggles .

Question 10.

You see 14 geese in a pond. 17 more join them. Then you see 11 more ﬂy to the pond. How many geese do you see in all?

Answer:

Number of geese in a pond = 14.

Number of geese joined = 17 .

Total geese’s = 14 + 17 = 31 .

Number of geese’s flew to pond = 11 .

Total Geese’s = 31 + 11 = 42 .

### Lesson 8.3 Place Value Patterns

**Explore and Grow**

What patterns do you see in the shaded row and column? Use the patterns to complete the chart.

Answer:

The pattern in Rows = Count by ones.

The pattern in Columns = Count by Tens.

**Show and Grow**

Use place value to ﬁnd the missing numbers.

Question 1.

485, 486, 487, __, __, ___, ___

Answer:

485, 486, 487, 488, 489, 490, 491 .

Question 2.

612, 622, 632, __, __, ___, ___

Answer:

612, 622, 632, 642, 652, 662, 672 .

Question 3.

267, 277, __, 297, ___, 317, __

Answer:

267, 277, 287, 297, 307, 317, 327 .

Question 4.

101, 201, ___, 401, __, __, ___

Answer:

101, 201, 301, 401, 501, 601, 701 .

**Apply and Grow: Practice**

Use place value to ﬁnd the missing numbers.

Question 5.

324, 325, ___, 327, __, __, ___

Answer:

324, 325, 326, 327, 328, 329, 330 .

Question 6.

194, 294, __, 494, __, __, ___

Answer:

194, 294, 394, 494, 594, 694, 794 .

Question 7.

463, 473, __, 493, __, __, __

Answer:

463, 472, 483, 493, 503, 513, 523 .

Question 8.

232, 332, __, 532, __, ___, __

Answer:

232, 332, 432, 532, 632, 732, 832 .

Question 9.

985, 986, __, 988, __, __, __

Answer:

985, 986, 987, 988, 989, 990 .

Question 10.

751, 761, __, 781, __, __, __

Answer:

751, 761, 771, 781, 791, 801, 811 .

Question 11.

606, 607, __, 609, __, __, __

Answer:

606, 607, 608, 609, 700, 701, 702 .

Question 12.

**Repeated Reasoning**

Use place value to describe each pattern.

Answer:

**Think and Grow: Modeling Real Life**

There are 273 tickets in a bin. Some more are put in the bin. Now there are 973. How many groups of 100 tickets were put in the bin?

Answer:

Number of tickets in bin = 273.

Number of tickets added in bin = X.

Total Number tickets in bin now = 973 = 273 + X

X = 973 – 273 = 700 .

Number of groups = 700/100 = 7 (Each group contains 100 tickets) .

Therefore 7 groups of 100 tickets were put in bin .

**Show and Grow**

Question 13.

You have 338 pennies in a jar. You put more in the jar. Now there are 388. How many groups of 10 pennies were put in the jar?

Answer:

Number of pennies =338.

Number of pennies added = X.

Total Number of pennies = 388 = 338 + X.

X= 388 – 328 = 50.

Number of groups of 10 pennies were put in the jar = 50 / 10 = 5.

Question 14.

**DIG DEEPER!**

There are 410 people at a show. 8 more rows of seats get ﬁlled. Now there are 490 people. How many people can sit in each row?

Explain how you solved.

______________

______________

Answer:

Number of people = 410 .

Number of people added = X.

Total Number of people = 490.

490=410 + X.

X = 490 – 410 = 80 .

Number of people added = 80 .

Number of Rows = 8.

Number of people in each row = 80 /8 = 10.

### Place Value Patterns Homework & Practice 8.3

Use place value to ﬁnd the missing numbers.

Question 1.

710, 711, 712, __, __, __, ___

Answer:

710, 711, 712, 713, 714, 715, 716 .

Question 2.

822, 832, 842, __, __, __, __

Answer:

822, 832, 842, 852, 862, 872, 882 .

Question 3.

325, 425, 525, __, __, __, __

Answer:

325, 425, 525, 625, 725, 825, 925 .

Question 4.

669, 679, __, 699, __, __, ___

Answer:

669, 679, 689, 699, 709, 719, 729 .

Question 5.

534, 535, __, 537, __, __, __

Answer:

534, 535, 536, 537, 538, 539 , 540

Question 6.

368, 468, __, 668, __, __, ___

Answer:

368, 468, 568, 668, 768, 868, 968 .

Question 7.

**YOU BE THE TEACHER**

Newton says the hundreds digit in the numbers shown increases by 1. Is he correct? Explain.

Answer:

No, There is increase in the tens place not in hundreds place .Each Number is 10 more than the previous number so it is count by tens.

Question 8.

**Modeling Real Life**

A farmer has 467 cornstalks. The farmer grows some more. Now there are 967 cornstalks. How many groups of 100 cornstalks did the farmer add?

Answer:

Number of cornstalks = 467 .

Number of cornstalks grown =X

Total Number of cornstalks = 967.

467 + X =967.

X = 967- 467 = 500.

Number of cornstalks grown = 500 .

Number of groups of 100 cornstalks added = 500/100 = 5.

Question 9.

**DIG DEEPER!**

There are 250 people at a party. 3 more tables get ﬁlled. Now there are 280 people. How many people can sit at each table?

Answer:

Number of people in the party = 250 .

Number of more people added = X.

Total Number of people in the party = 280 .

250 + X = 280 .

X = 280- 250 = 30 .

Number of more people added = 30 .

Number of tables got filled with added people = 3.

Number of people in each table = 30 / 3 = 10 .

**Review & Refresh**

Question 10.

8 + 4 = __

Answer:

12.

Question 11.

15 – 8 = __

Answer:

7.

Question 12.

Answer:

10.

Question 13.

Answer:

6

Question 14.

Answer:

13.

Question 15.

Answer:

9 .

### Lesson 8.4 Find More or Less

**Explore and Grow**

Model 253. Use your model to complete the sentences.

1 more than 253 is __.

1 less than 253 is __.

10 more than 253 is __.

10 less than 253 is __.

100 more than 253 is __.

100 less than 253 is __.

Answer:

1 more than 253 is 254.

1 less than 253 is 252.

10 more than 253 is 263.

10 less than 253 is 243.

100 more than 253 is 353.

100 less than 253 is 153.

**Show and Grow**

Question 1.

10 more than 452 is __.

Answer:

10 more than 452 is 462.

Question 2.

10 less than 813 is __.

Answer:

10 less than 813 is 803..

Question 3.

100 less than 729 is __.

Answer:

100 less than 729 is 629.

Question 4.

100 more than 386 is __.

Answer:

100 more than 386 is 486.

**Apply and Grow: Practice**

Question 5.

10 more than 571 is __.

Answer:

10 more than 571 is 581.

Question 6.

10 less than 333 is __.

Answer:

10 less than 333 is 323.

Question 7.

100 more than 604 is __.

Answer:

100 more than 604 is 704.

Question 8.

100 less than 592 is __.

Answer:

100 less than 592 is 492.

Question 9.

1 more than 934 is __.

Answer:

1 more than 934 is 935.

Question 10.

1 less than 101 is __.

Answer:

1 less than 101 is 100.

Question 11.

10 less than 286 is __.

Answer:

10 less than 286 is 276.

Question 12.

1 more than 467 is __.

Answer:

1 more than 467 is 468.

Question 13.

10 more than 763 is __.

Answer:

10 more than 763 is 773.

Question 14.

100 less than 846 is __.

Answer:

100 less than 846 is 746.

Question 15.

1 less than 999 is __.

Answer:

1 less than 999 is 998.

Question 16.

100 more than 28 is __.

Answer:

100 more than 28 is 128.

Question 17.

100 less than 135 is __.

Answer:

100 less than 135 is 35.

Question 18.

100 more than 900 is __.

Answer:

100 more than 900 is 1000.

Question 19.

**Number Sense**

Complete each sentence.

Answer:

**Think and Grow: Modeling Real Life**

An orange tree has 639 oranges. A lemon tree has 100 fewer lemons. How many lemons does the tree have?

Answer:

Number of Oranges = 639.

Number of Lemons = 639 – 100 =539.

**Show and Grow**

Question 20.

A history book has 197 pictures. A science book has 10 more pictures. How many pictures are in the science book?

Answer:

Number of pictures in history books = 197 .

Number of pictures in science book = 197 + 10 = 207.

Question 21.

**DIG DEEPER!**

A boat puzzle has 525 pieces. A bird puzzle has 100 more than the boat puzzle. A space puzzle has 10 fewer than the bird puzzle. How many puzzle pieces does the space puzzle have?

Answer:

Number of puzzles in boat puzzle = 525 .

Number of puzzles in bird puzzle = 100 + 525 = 625.

Number of puzzles in space puzzle = 625 – 10 = 615 .

Question 22.

**DIG DEEPER!**

You have 398 points. Newton has 100 fewer than you. Descartes has 10 more than Newton. How many points does Descartes have?

Answer:

Number of points = 398 .

Number of points Newton have = 398 – 100 = 298 .

Number of points Descartes have = 298 + 10 = 308 .

### Find More or Less Homework & Practice 8.4

Question 1.

10 more than 106 is __.

Answer:

10 more than 106 is 116.

Question 2.

10 less than 467 is __

Answer:

10 less than 467 is 457.

Question 3.

100 more than 321 is __.

Answer:

100 more than 321 is 421.

Question 4.

100 less than 945 is __.

Answer:

100 less than 945 is 845.

Question 5.

1 more than 513 is __.

Answer:

1 more than 513 is 514.

Question 6.

1 less than 899 is __.

Answer:

1 less than 899 is 898.

Question 7.

1 less than 264 is __.

Answer:

1 less than 264 is 263.

Question 8.

100 more than 555 is __.

Answer:

100 more than 555 is 655.

Question 9.

1 more than 852 is __.

Answer:

1 more than 852 is 853.

Question 10.

100 less than 573 is __.

Answer:

100 less than 573 is 473.

Question 11.

10 less than 314 is __

Answer:

10 less than 314 is 304.

Question 12.

10 more than 687 is __

Answer:

10 more than 687 is 697.

Question 13.

**Structure**

Complete the table.

Answer:

Question 14.

**Number Sense**

Complete the sentence.

__ is 10 less than 546 and 10 more than __.

Answer:

536 is 10 less than 546 and 10 more than 556.

Question 15.

**Modeling Real Life**

Your magic book has 163 tricks. Your friend’s magic book has 100 more tricks than yours. How many tricks does your friend’s magic book have?

Answer:

Number of tricks in my magic books = 163 .

Number of tricks in my friends magic books = 100+163 = 263.

Question 16.

**DIG DEEPER!**

You have 624 songs. Newton has 100 fewer than you. Descartes has 10 more than Newton. How many songs does Descartes have?

Answer:

Number of songs = 624.

Number of songs Newton have = 624 – 100 = 524.

Number of songs Descartes have = 524 + 10 = 534 .

**Review & Refresh**

Question 17.

A bookcase has 5 shelves. There are 2 stuffed animals on each shelf. How many stuffed animals are there in all?

Answer:

Number of shelves = 5.

Number of stuffed animals in each shelf = 2

Total Number of stuffed animals in each 5 shelves = 2 added 5 times.

2+2+2+2+2 = 10 animals.

### Lesson 8.5 Compare Numbers Using Symbols

**Explore and Grow**

Make a quick sketch of each number. Circle the greater number.

How do you know which number is greater?

____________________

____________________

Answer:

When comparing the values of two numbers, you can use a number line to determine which number is greater. The number on the right is always greater than the number on the left. In the example Above, you can see that 472 is greater than 439 because 472 is to the right of 439 on the number line.

**Show and Grow**

Question 1.

Compare.

Answer:

652 > 614.

**Apply and Grow: Practice**

Compare

Question 2.

Answer:

324 > 317.

Question 3.

Answer:

26 < 206 .

Question 4.

Answer:

546 < 564 .

Question 5.

Answer:

931 > 842.

Question 6.

Answer:

700 + 30 + 5 = 735.

735 = 735 .

Question 7.

Answer:

400 + 20 = 420.

412 < 420.

Question 8.

**Reasoning**

Find the number that will make all three comparisons true.

Answer:

105.

Question 9.

**YOU BE THE TEACHER**

Is Newton correct? Explain.

Answer:

625 < 631.

The given number is a 3-digit number .In 3-digit number Comparison First check the hundred place both the numbers having 6 in hundred place . so then go to the tens place in 625 we have 2 in tens place and in 631 we have 3 in tens place so 3 is greater than 2. so 631 is greater than 625.

Question 10.

There are 125 kids in a taekwondo club. There are 135 kids in a soccer club. Which club has fewer kids?

Answer:

Number of kids in taekwondo club = 125 .

Number of kids in soccer club = 135.

Kids in taekwondo club are 10 fewer than soccer club .

**Think and Grow: Modeling Real Life**

Newton reads 200 pages on Monday, 70 on Tuesday, and 9 on Wednesday. Descartes reads 297 pages. Who reads more pages in all?

Answer:

Number of pages read by Newton on Monday = 200.

Number of pages read by Newton on Tuesday = 70.

Number of pages read by Newton on Wednesday =9.

Total pages read by Newton all 3 days = 200 + 70 + 9 = 279.

Total pages read by Descartes = 297.

Descartes reads more pages.

279 < 297 .

**Show and Grow**

Question 11.

Newton counts train cars. The train has 100 boxcars, 40 tank cars, and 4 locomotives. Descartes counts a train with 142 cars. Who counts more cars in all?

Answer:

Total cars counted by Newton = 100 + 40 = 140.

Total cars counted by Descartes = 142.

142 > 140 .

Descartes counts more cars .

Question 12.

You have 221 coins in your piggy bank. Your friend has 219 coins. Who has fewer coins?

Answer:

Number of coins in my piggy bank = 221.

Number of coins my friend have = 219.

My friend have 2 coins fewer than me .

Question 13.

**DIG DEEPER!**

652 people go to a play on Friday. 625 people go on Saturday. 655 people go on Sunday. On which day are there fewer than 650 people at the play?

Answer:

People played on Friday = 652.

People played on Saturday =625

People played on Sunday =655.

On Saturday 25 people are fewer than 650 people at the play .

### Compare Numbers Using Symbols Homework & Practice 8.5

Compare

Question 1.

Answer:

923 > 854.

Question 2.

Answer:

386 < 389.

Question 3.

Answer:

406 = 406 .

Question 4.

Answer:

621 > 63.

Question 5.

Answer:

746 < 752 .

Question 6.

Answer:

235 > 130.

Question 7.

Answer:

500 + 60 + 1 = 561.

562 > 561 .

Question 8.

Answer:

100 + 10 = 110.

110 = 110.

Question 9.

**DIG DEEPER!**

What is Descartes’s number?

- It is less than 300.
- It is greater than 200.
- The ones digit is 6 less than 10.
- The tens digit is 2 more than the ones digit.

Answer:

lies between 200 – 300.

ones digit = 10 – 6 = 4.

Tens digit = 4 + 2 = 6.

264.

Question 10.

There are 428 pages in a science book. There are 424 pages in a math book. Which book has more pages?

Answer:

Number of pages in science book = 428

Number of pages in Math book = 424 .

science – 428 > 424 – math

Science book has more pages.

Question 11.

**Modeling Real Life**

A concession stand sells 300 bags of popcorn on Saturday, 50 on Sunday, and 4 on Monday. They sell 345 drinks. Did they sell more bags of popcorn or drinks?

Total Number of popcorn sold all 3 days = 300 + 50 + 4 = 354.

Number of drinks sold = 345 .

354 > 345 .

popcorn bags are sold more.

Question 12.

**DIG DEEPER!**

Newton climbs 136 stairs on Friday. He climbs 132 on Saturday. He climbs 128 on Sunday. On which day does he climb more than 134 stairs?

Answer:

Friday = 136.

Saturday = 132.

Sunday = 128 .

On Friday he climbed 136 stairs more than 134 stairs.

**Review & Refresh**

Find the difference. Use addition to check your answer.

Question 13.

Answer:

Question 14.

Answer:

### Lesson 8.6 Compare Numbers Using a Number Line

**Explore and Grow**

Identify a number that is less than 538. Identify a number that is greater than 538. Model the numbers on the number line.

Explain how you know.

____________________

____________________

____________________

Answer:

The number on the right is always greater than the number on the left.

**Show and Grow**

Compare

Question 1.

Answer:

527 > 525.

Question 2.

Answer:

521 < 524 .

Question 3.

Answer:

528 = 528 .

Question 4.

Answer:

530 > 520

Question 5.

Answer:

522 < 523

Question 6.

Answer:

529 > 526

Write a number that makes the statement true.

Question 7.

372 < __

Answer:

372 < 373

Question 8.

195 > __

Answer:

195 > 190

**Apply and Grow: Practice**

Compare.

Question 9.

Answer:

714 = 714

Question 10.

Answer:

720 > 710

Question 11.

Answer:

718 > 717

Question 12.

Answer:

711 < 713

Write a number that makes the statement true.

Question 13.

736 = __

Answer:

736 = 736 .

Question 14.

461 > __

Answer:

461 > 460

Question 15.

__ < 295

Answer:

290 < 295

Question 16.

__ > 573

Answer:

574> 573

Question 17.

**Logic**

Is greater than or less than ? Explain.

Answer:

The is greater than .As the values goes towards 100. The is close to 100 than .so has higher value than . > .

Question 18.

**DIG DEEPER!**

What number might Newton be thinking?

Answer:

342<350<356

**Think and Grow: Modeling Real Life**

Order the race numbers from least to greatest.

Model:

Order from least to greatest: __, __, __, __

Your race number is greater than all of the other numbers but less than 900. What is a possible race number for you?

Answer:

Order from least to greatest : 856 , 865 , 868 , 876 .

Possible race number = 878.

**Show and Grow**

Question 19.

Order the race times from least to greatest.

**DIG DEEPER!**

Your time is less than all of the other times but greater than 320 seconds. What is a possible time for you?

Answer:

The Race times from least to greatest = 329, 335, 340, 342 .

320<329.

Possible time 325

### Compare Numbers Using a Number Line Homework & Practice 8.6

Compare.

Question 1.

Answer:

450 < 460

Question 2.

Answer:

459 > 457

Question 3.

Answer:

455 > 451

Question 4.

Answer:

456 = 456

Question 5.

Answer:

455 > 454

Question 6.

Answer:

452 < 453

Write a number that makes the statement true.

Question 7.

529 > __

Answer:

529 > 528

Question 8.

815 < __

Answer:

815 < 820

Question 9.

__ < 142

Answer:

140 < 142

Question 10.

__ = 364

Answer:

364 = 364

Question 11.

**YOU BE THE TEACHER**

Is Descartes correct? Explain.

______________

______________

______________

Answer:

986 < 987 .

The numbers which move to the right of the number line will increase in value .

The number on the right is always greater than the number on the left.

so the number 987 is greater than 986 .

Question 12.

**DIG DEEPER!**

I am not greater than 243. I am not less than 243. What number am I? Explain how you know.

Answer:

243

Question 13.

**Modeling Real Life**

Order the numbers from least to greatest.

Answer:

The numbers from least to greatest = 675 , 679, 689, 698 .

**DIG DEEPER!**

Your car’s number is greater than all of the others but less than 705. What is a possible number for your car?

**Review & Refresh**

Question 14.

Circle the shapes with flat surfaces that are circles.

Answer:

### Count and Compare Numbers to 1,000 Performance Task

The table shows the number of each type of ﬁsh in a tank.

Question 1.

Complete the table.

Answer:

Question 2.

Compare the numbers of ﬁsh.

Answer:

Question 3.

All of the purple, green, and pink ﬁsh are moved to a new exhibit. How many ﬁsh are left in the tank?

Total Number of fishes = 351 + 529 + 312 + 458 + 312 = 1962.

Number of fishes moved to new exhibit = 312 + 529 + 351 = 1192

Number of fishes left = 1962 – 1192 = 770.

Question 4.

A school of 24 ﬁsh swim in an array. Draw an array for the ﬁsh.

Answer:

### Count and Compare Numbers to 1,000 Activity

**Number Boss**

**To Play:** Place Number Cards 0–9 in a pile. Each player ﬂips 3 cards and makes a three-digit number. Compare the numbers. The player with the greater number takes both sets of cards. If the numbers are equal, ﬂip cards again. The person with the greater number takes all of the cards. Repeat until all of the cards have been used.

### Count and Compare Numbers to 1,000 Chapter Practice

**8.1 Count to 120 in Different Ways**

Question 1.

Count by ones.

113, 114, 115, __, __, __, __, ___

Answer:

113, 114, 115, 116, 117, 118, 119, 120

Question 2.

Count by fives.

25, 30, 35, __, __, __, __, ___

Answer:

25, 30, 35, 40, 45, 50, 55, 60

Question 3.

Count by tens.

33, 43, 53, __, __, __, __, __

Answer:

33, 43, 53, 63, 73, 83, 93, 103

**8.2 Count to 1,000 in Different Ways**

Question 4.

Count by ﬁves.

210, 215, 220, ___, __, __, __, ___

Answer:

210, 215, 220, 225, 230, 235, 240, 245

Question 5.

Count by tens.

740, 750, 760, __, __, __, __, __, ___

Answer:

740, 750, 760, 770, 780, 790, 800, 810

Question 6.

Count by hundreds.

300, 400, 500, __, __, __, __, __

Answer:

300 , 400, 500, 600, 700, 800, 900, 1000

**8.3 Place Value Patterns**

Use place value to find the missing numbers.

Question 7.

854, 855, 856, __, __, __, __

Answer:

854, 855, 856, 857, 858, 859, 860

Question 8.

940, 950, 960, __, __, __, __

Answer:

940, 950, 960, 970, 980, 990, 1000

Question 9.

275, 375, 475, ___, __, __, __

Answer:

275, 375, 475, 575, 675, 775, 875

Question 10.

**Repeated Reasoning**

Use place value to describe each pattern.

Answer:

**8.4 Find More or Less**

Question 11.

10 more than 813 is ___

Answer:

10 more than 813 is 823.

Question 12.

10 less than 976 is __

Answer:

10 less than 976 is 966.

Question 13.

100 more than 254 is __.

Answer:

100 more than 254 is 354.

Question 14.

100 less than 531 is __.

Answer:

100 less than 531 is 431.

Question 15.

1 more than 444 is ___

Answer:

1 more than 444 is 445.

Question 16.

1 less than 622 is __.

Answer:

1 less than 622 is 621

Question 17.

**Modeling Real Life**

Your craft book has 110 ideas. Your friend’s craft book has 10 fewer ideas than yours. How many ideas does your friend’s craft book have?

Answer:

Number of Ideas in my craft book = 110 .

Number of ideas in my friends craft book =110 – 10 =100 .

Question 18.

**Modeling Real Life**

You have 324 beads. Newton has 100 more than you. Descartes has10 fewer than Newton. How many beads does Descartes have?

Answer:

Number of beads = 324.

Number of beads newton have = 324 + 100 = 424 .

Number of beads Descartes have = 424 – 10 = 414 .

**8.5 Compare Numbers Using Symbols**

Compare

Question 19.

Answer:

583 = 583

Question 20.

Answer:

626 < 725

Question 21.

Answer:

932 > 910

Question 22.

Answer:

49 < 411

Question 23.

Answer:

300 + 40 + 6 = 346

328 <346

Question 24.

Answer:

200 + 10 + 8 = 218

280 > 218

Question 25.

There are 318 kids in a gymnastics club. There are 219 kids in a swim club. Which club has fewer kids?

Answer:

Number of kids in Gymnastics club = 318.

Number of kids in Swim club =219.

Swim club has 99 fewer kids than Gymnastics club .

**8.6 Compare Numbers Using a Number Line**

Compare

Question 26.

Answer:

683 < 687

Question 27.

Answer:

689 > 688

Question 28.

Answer:

681 = 681

Question 29.

Answer:

690 > 680

Write a number that makes the statement true.

Question 30.

324 < __

Answer:

324 < 325

Question 31.

136 > __

Answer:

136 > 133

Question 32.

__ = 750

Answer:

750 = 750

Question 33.

__ < 871

Answer:

771 < 871

Question 34.

**Number Sense**

What number might Descartes be thinking?

Answer:

238<___>325.

238<315>325

### Count and Compare Numbers to 1,000 Cumulative Practice 1 – 8

Question 1.

Which equation can you use to check your answer to 32 − 18?

Answer:

32 – 18 =14.

Equation

18 + 14 = 32

Question 2.

Which number does not belong?

Answer:

324, 334, 344, 354, 364, 374

345 does not belong

Question 3.

Find the missing digits.

Answer:

Question 4.

Use the number cards to decompose to subtract.

Answer:

Question 5.

Which choice does not show 124?

Answer:

Question 6.

Which quick sketch shows 43 − 25?

Answer:

43 – 25 = 18

Question 7.

You have 4 fewer gel pens than your friend. You have 6 gel pens. Which picture shows how many gel pens your friend has?

Answer:

Number of gel pens with me = 6.

Number of gel pens with my friend = 6 + 4 = 10.

Question 8.

Which number does not belong?

Answer:

563<_____<567 . It can be 564, 565, 566

Question 9.

Your friend uses compensation to add. Complete the equation to show what numbers he added after using compensation.

Answer:

Question 10.

Which choices show 238?

Answer:

Question 11.

Which picture shows 2 groups of 3?

Answer:

Question 12.

Descartes wants to use addition to subtract 51 − 25. Help him complete the number line and equations.

Answer:

*Conclusion:*

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