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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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