homework helper [q - bonneville 6th...

Lesson 2

/ E s t i m a t eD i f f e r e n c e s

£ /

Homework Helper [qNoah is buying one of two scooters.About how much money would Noahsave if he bought the less expensivescooter? Round to the neares t tena n d n e a r e s t h u n d r e d .

Need help? connectED.mcgraw-hill.com

One Way Round the nearest hundred.To the nearest hundred, Noah would save $200.

Another Way Round to the nearest ten.To the nearest ten, Noah would save $140.

Each estimate is reasonable. There can be more thanone reasonable estimate when solving a problem.

$1,463- $ 1 , 3 2 2

$1,463- $ 1 . 3 2 2

$1,500-»• - $1,300

$ 2 0 0

$1,460- $ 1 , 3 2 0

$ 1 4 0

P r a c t i c eEstimate. Round each number to the indicated place value.

1 . 8 1 6 - 7 0 8 ; t e n s 2 . 4 6 6 - 1 5 2 ; h u n d r e d s

3. 537 - 288; hundreds 4. 9 ,531 - 1 ,428 ; tens

Lesson 2 My Homework 143

Est ima te . Round each number to the neares t ten and neares t hundred .

N e a r e s t 1 0 N e a r e s t 1 0 0

5 .

3 , 6 7 7- 2 ,232

6 .5 7 3

- 4 4 1

7 .

1,885- 4 8 3

Problem Solving8. Shannon's scout troop sold 2,357 boxes of

cookies. They started with 3,600 boxes. To thenearest hundred, about how many boxes ofcookies do they have left to sell?

Mathematical9. PRACTICE^ Use Number Sense ClearviewStadium sold 8,371 bags of peanuts last weekend.Capital Stadium sold 4,309 bags of peanuts lastweekend. Which stadium sold more bags ofpeanuts? To the nearest ten, about how manymore bags were sold?

Te s t P r a c t i c e10. Which shows the estimated difference for

8,859 - 3,591 to the nearest hundred?

® 5 , 0 0 0 © 5 , 3 0 0

® 5 , 2 6 8 ® 5 , 4 0 0

144 Need more practice? Download Extra Practice at connectED.mcgraw-hilLcom

N a m e Number and Operations in Base Ten ;

3.NBT.2, 3,OA.8

Lesson 4

^ Hands On;S u b t r a c t w i t h

RegroupingHomework Helper Q Need help? connectED.mcgraw-hill.comMr. Skylar made 432 birdhouses for the craft fair.Of those, 315 were sold. How many birdhouses are left?Find 432 - 315 .

Es t imate 432 - 315—»-430 - 320 = no

u M o d e l 4 3 2 .

Subt rac t the ones.

Regroup 1 ten as 10 ones.12 ones — 5 ones = 7 ones

Subt rac t the tens and hundreds .2 t e n s — 1 t e n = 1 t e n

4 hundreds - 3 hundreds = 1 hundred

hundreds tens o n e s

w11 m

■ ■ ■• ■ ■r

So, Mr. Skylar has 117 birdhouses left.

C h e c k fUse addition to check subtraction. 432 ^ ^ ^7

- 3 1 5 X + 3 1 51 1 7 4 3 2 -


P r a c t i c eUse models to subtract. Draw the difference.

1 . 5 5 2 - 3 6 1 = , 2 . 6 3 6 - 3 2 4 =

Use models to subtract. Draw the difference. Use addition to check.

3 . 4 8 6 - 3 1 8 = 4 . 2 7 0 - 1 3 1 =

+ +

Problem SolvingPRaIcTICeI Math Tools Use models to subtract.5. Nola had S507. She spent $255 on a new bicycle. How much

money does Nola have left?

6. Evan set out 643 items for a garage sale. He sold 456 items.How many items does Evan have left?

Vocabulary CheckVocab

8. 395 — 278 = 117 is an example of a

9 . S o m e t i m e s I n e e d t o , o r u s eplace value to rename a number, in order to subtract.

Choose the correct word(s) to complete each sentence.inverse operation regroup subtraction sentence

7 - A d d i t i o n i s t h e o f s u b t r a c t i o n .

158 Chapter 3 Subtraction

N a m e

Lesson 5

/ Subtract Three-Digit Numbers

Homework Helper [q Need help? connectED.mcgraw-hiU.comChloe jumped rope 631 times without stopping. Addisonjumped 444 times. How many more jumps did Chloe make?

Find 631 - 444 .

Sub t rac t ones .2 1 1

65^ Regroup 1 ten as 10 ones.— 444 10 ones + 1 one = 11 ones

^ 11 ones ~ 4 ones = 7 ones

- 1 /

Sub t rac t tensa n d h u n d r e d s .

C h e c k

1 8 7

1 25 ^ 1 1

- 4 4 4

1 8 7

s a m e -

Regroup 1 hundred as 10 tens.1 0 t e n s + 2 t e n s = 1 2 t e n s

1 2 t e n s - 4 t e n s = 8 t e n s

5 hundreds - 4 hundreds = 1 hundred

6 3 1

Addition shows the subtractionanswer is correct.

Since, 631 - 444 = 187, Chloe made 187 more jumps.

P r a c t i c e

Subtract Use addition to check your answer.

1 - I I C h e c k : 2 .

5 1 83 1 9

62

4 12 9

Check :


Subtract. Use addition to check your answer.

3 . s- $

73

65

4 C h e c k :3 5 4

6

C h e c k :25

$- 2

Algebra Subtract to find the unknown.5 . 5 9 9 - 2 8 4 = ■ 6 . 4 3 6 - 3 7 7 = 7 . 5 1 4 - 1 7 5 =

The unknown is . T h e u n k n o w n I s . T h e u n k n o w n i s

.A\ VV.

Problem SolvingWri te a number sen tence to so lve .

M stt iBnidt lcdl

8. PRACTICE Model Math Tanisha bought a pack of225 sheets of paper for her homework. After a week, she had198 sheets of paper left. How many sheets of paper did she use?

9- The school library would like to raise $915 for new books.So far, S475 has been raised. How much more does thelibrary need to raise to reach its goal?

Te s t P r a c t i c e10- A crate has 272 red and green apples.

How many green apples are there?

® 149 green apples © 159 green apples® 150 green apples ® 395 green apples

164 Need more practice? Download Extra Practice at connectED.mcgraw-hill.com

N a m e

Lesson 6

S u b t r a c t F o u r -

Digit Numbers

Homework Helper [|QFind 4,453 - 2,474,

^ jj Subtract ones.fi Need help? connectED.nricgraw-hill.com

1 0 o n e s + 3 o n e s= 1 3 o n e s

Regroup 1 ten as 10 ones.

i4 1 3 ^

4 , 4 ^- 2 , 4 7 4

Subtract hundreds and thousands.

Regroup 1 thousand as 10 hundreds.I —

Subt rac t tens .

Regroup 1 hundred as 10 tens.

1 4 ^

3 X 134 , X \ X

- 2 , 4 7 4

7 9

C h e c k

— s a m e

4 t e n s + 1 0 t e n s= 1 4 t e n s

I 13 143 X \ 1 3X X ^ \

- 2 , 4 7 4

3 hundreds + 10 hundreds= 1 3 h u n d r e d s

1 1 1

1 , 9 7 9

2 , 4 7 4

1 , 9 7 9

So, 4,453 - 2,474 = 1,979.

P r a c t i c e1. Subtract. Use addition to check your answer.

C h e c k :

4 , 4 5 3- 2 , 4 7 4

1 , 9 7 9 ^ 4 , 4 5 3

Addition shows the answer is correct.

6, 28

16

70

+


Subtract. Use addition to check your answer

5, 92

63

3 .3 5 ,8

79

64

4 .9 9 ,1 - 1 ,

82

71

14

C h e c k :

+

C h e c k :

+

C h e c k :

+

Algebra Subtract to find the unknown.5- S3,958 - Si,079 = ? 6. S8,337 - S483 = ? 7. 6,451 - 2,378 = ?

T h e u n k n o w n i s S . T h e u n k n o w n i s S . T h e u n k n o w n i s

Problem SolvingWri te a number sen tence to so l ve .

8. Pittsburg University won the college football championship in1937. They won again in 1976. How many years were therebetween championships?

M d l h s n i d t i c d l

9. PRACTICE Model Math A library has 2,220 books aboutsports and 1,814 books about animals. How many more sportsbooks are there than animal books?

Te s t P r a c t i c e10. How much less money did Selena's school

raise this year at the pancake breakfast?

® $900

© $ 9 0 5

® $1 ,905

® $8 ,145U\STYEAR

$4,525THIS YEAR

$3,620170 Need more practice? Download Extra Practice at connectED.mcgraw-hill.com

N a m e Number and Operations in Base Ten

Lesson 7

S u b t r a c t A c r o s sZ e r o s

i /

Homework Helper |qli Need help? connectED.mcgraw-hiUxom

Makenna won 3,000 tickets playing an arcade game. She used1,872 tickets to buy a prize. How many tickets does she have left?

Find the unknown.3 , 0 0 0 - 1 , 8 7 2 =■

Estimate 3,000 - 1,900 = 1,100

A Regroup 1 thousand,J 1 hundred, and 1 ten.

9 9

2

- 1, 8 7 2

C h e c k

1, 1 2 8+ 1, 8 7 2

3 , 0 0 0

Subtract, starting at theplace farthest to the right.

9 9

2 f q 1 0

- 1 , 8 7 2

1 , 1 2 8

Addition shows the answer is correct.

1,128 is close to the estimate of 1,100. Estimationshows the answer is reasonable.

P r a c t i c eSubt rac t . Use add i t ion to check .

1 .

5 0 79 4

C h e c k :

2 .

C h e c k :

8 0 4- 6 6 7

3 .

C h e c k :

4 , 09

0 06 9

+ + +

Lesson? My Homework 175

Subtract. Use addition to check your answer.

7 , 09

04

5 .

5 41 - 1

05

6 .

0 3 ,3 - 1 ,

02

00

02

C h e c k :

+

C h e c k :

+

C h e c k :

+

Algebra Subtract to find the unknown.7, S3,008 - $1,053 = ■ 8. 8,200 - 875 = ■ 9- 9,001 - 3,860 = ■

o - Problem SolvingM a t h e m a t i c a l

PRACTICE Understand Symbols Write a number sentence.10. A bag holds 5,300 seeds. Brandon plants 790 of the seeds.

How many seeds are left?

11. Amy's book has 500 pages. She has read 245 pages so far.How many pages does Amy have left to read?

T e s t P r a c t i c e r ^ e / y n12. How many more points did Jocelyn score?

® 64 points © 164 points® 74 po in ts © 174 po in ts

176 Need more practice? Download Extra Practice at connectED.mcgraw-hill.com

vAarnsojl

; Vocab

Vocabulary Checkf

Choose the correct word(s) to complete each sentence.

d i f f e r e n c e e s t i m a t e i n v e r s e o p e r a t i o n s

r e g r o u p s u b t r a c t s u b t r a c t i o n s e n t e n c e

1. The answer to a subtraction problem is called the

2. When 1 , 1 take away the lesser number from thegreater number.

3- I can to trade equal amounts when renaming a number.

4- When I do not need an exact answer I canto find one that is close.

5- A number sentence in which one quantity is taken

away from another quantity is a

6. Two operations that can undo each other, as in

addition and subtraction, are called

Concept Check [gSubtract mentally by breaking apart the smaller number.

7 . 8 8 4 - 5 1 = 8 . 2 8 3 - 1 7 1 = 9 . 7 2 4 - 6 1 6 =

My Chapter Review 179

Estimate. Round each number to the indicated place value.1 0 . 7 6 5 - 1 2 1 ; t e n s 1 1 . 2 , 2 1 9 - 1 , 1 0 9 ; h u n d r e d s

Subtract. Use addition to check your answer.1 2 .

6- 2

C h e c k :

37

1 3 .03

00

C h e c k :

1 4 .

3,1,

42

C h e c k :

89

+ +

Algebra Subtract to find the unknown.15. 608 - 45 = ■ 16 . $3,568 - $639 =

The unknown is The unknown is

$

17. 3,008 - 1,836 =

The unknown i s

Algebra Use addition to find each unknown.1 8 . 5 8 0 1 9 . 1 m 5 2 0 . 6 , 9 2 0

- ■ ▲ 0 4 A - ■ 1 A 8

4 3 0 8 6 4 , 7 2 2

180 Chapters Subtraction

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