Example E1Place Value Within 1,000,000

3

1

6,

8

Ones Hundreds

2

1. How do you find the value

of the digit 6 in the number

above?

Check for Understanding

7

Ones

.

3. What does it mean if the digit

5 in one number has a value

that is 10 times the value of

the digit 5 in another number?

The value of the digit 6 is 6,000.

The place value of the digit 6 is 6 thousands.

STEP 2 Write the place value of the digit.

2. If two digits in a number are

the same, how can you tell

which has the greater value?

Tens

Ones

So, the value of the digit 6 in 136,827 is

Tens

Hundreds

Thousands

STEP 1 Make a place-value chart to show

the number.

The city of Goldville displays a sign declaring that it has a population

of 136,827. What is the value of 6?

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E1

E2

Read and Write Numbers Within 1,000,000

4

1

2,

O

8

H

0

T

0

O

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1. Why can you exclude zeros in

expanded form?

Check for Understanding

and

So, 142,800 is written as

T

Ones

Thousands

H

Period

Period

STEP 1

Make a place-value chart to show

the number of kilometers.

2. Why is it necessary to include

zeros in standard form?

in word form.

3. What does the comma (,)

represent when writing a

whole number?

one hundred forty-two

thousand, eight hundred

STEP 3

Write the word form by writing

the number name in each period.

Separate each period name with

a comma.

in expanded form,

STEP 2

Write the number in expanded

form by writing the value of each

place.

1 hundred thousand = 100,000

4 ten thousands = 40,000

2 one thousands = 2,000

8 hundreds = 800

0 tens = 0

0 ones = 0

100,000 + 40,000 + 2,000 + 800

The diameter of the planet Jupiter measures about 142,800 kilometers.

What is the number of kilometers written in expanded and word forms?

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Example E2

Example E3

Regroup to Tens, Hundreds, and Thousands

ones. He has

1. Why do you regroup the ones?

Check for Understanding

ten, and

So, Carl can regroup his pennies as

Use base-ten blocks to model

14 hundreds 16 ones.

14 hundreds 0 tens 16 ones

10 pennies, so there are 0 tens.

Think: There are no groups of

STEP 1

Write Carl’s groups of pennies

as hundreds, tens, and ones.

hundreds,

2. Explain how you regroup the

hundreds.

pennies.

thousand,

14 hundreds = 1 thousand 4 hundreds

Regroup the hundreds as a thousand

and some hundreds.

16 ones = 1 ten 6 ones

STEP 2

Regroup the ones as a ten and

some ones.

Carl put his pennies into 14 groups of 100 pennies and 16 groups with

1 penny in each group. He wants to regroup his pennies as groups of

thousands, hundreds, tens, and ones. How can Carl regroup his pennies?

How many pennies does Carl have?

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3. How do you know Carl has

more than 1,000 pennies?

1,416

1 thousand 4 hundreds 1 ten 6 ones

STEP 3

Write how many thousands,

hundreds, tens, and ones there are

after regrouping. Write the number.

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E3

E4

Regroup from Thousands, Hundreds, and Tens

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1. How can you regroup 1,120 in a

different way?

Check for Understanding

So, John can regroup his stickers as

1 thousand 1 hundred 2 tens

STEP 1

Use place value to model the original

grouping of stickers.

tens.

2. How do you regroup

1 thousand?

hundreds

STEP 2

Regroup 1 thousand as

10 hundreds.

John has 1,120 stickers that he has arranged in 1 group of one thousand,

1 group of one hundred, and 2 groups of ten. He wants to regroup his

stickers so he can give them away more easily. How can he regroup the

thousands into hundreds?

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3. How has the total number

of stickers changed after

regrouping?

11 hundreds 2 tens

Write how many hundreds

and tens there are now.

Think: I had 1 hundred. I regrouped

1 thousand, so now I have 10 more

hundreds.

STEP 3

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Example E4

Example E5

Relate Tenths, Hundredths, and Decimals

1. What is the relationship

between the numerator of the

fraction and the shaded parts

of the model?

mile.

0

.

7

Hundredths

shaded parts

equal parts

Tenths

.

3. What is the relationship

between the fraction and the

decimal?

100

Read: seven hundredths

7 or 0.07

Write: ____

100

7

____

0

Ones

STEP 2

Shade the decimal model to show seven hundredths.

The decimal model has 100 equal parts. Each

part is one hundredth.

2. What is the relationship

between the denominator

of the fraction and the total

number of parts in the model?

mile, and Lisa walked

shaded parts

equal parts

4

.

0

Check for Understanding

So, Jefferson walked

Read: four tenths

4 or 0.4

Write: ___

10

10

4

___

Tenths

.

Ones

STEP 1

Shade the decimal model to show four tenths.

The decimal model has 10 equal parts. Each

part is one tenth.

4

7

Jefferson walked __

mile, and Lisa walked ___

mile. How far did each

10

100

of them walk? Write both numbers using decimal notation.

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tenths, and

There are 5 hundredths.

STEP 3

Model the hundredths.

3. If Randi made 2.5 liters, how

would the model be different?

hundredths.

There are 2 tenths.

2. Why are there 100 smaller

squares in the ones model?

ones,

1. How many hundredths are equal

to 0.1? How many tenths are

equal to 1?

Check for Understanding

So, Randi can model 2.25 as

There are 2 ones.

STEP 1

Model the ones.

STEP 2

Model the tenths.

Model Ones, Tenths, and Hundredths

Randi made 2.25 liters of lemonade.

How can Randi model the number?

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Example E6

Example E7

Thousandths

1. How would the model be

different if Frank’s batting

average was 0.357?

Check for Understanding

So, Frank’s batting average is

0.375

STEP 4

Write the decimal.

3. Why are thousandths shown

as 10 rectangles to the right

of the decimal model?

There are 5 thousandths.

STEP 3

Count the number of

thousandths.

Thousandths are the smallest

division shown within the

hundredths square.

2. How many thousandths are

equal to one hundredth?

.

There are 7 hundredths.

Hundredths are the

small squares.

Tenths are the columns.

There are 3 tenths.

STEP 2

Count the number of

hundredths.

STEP 1

Count the number of

tenths.

Frank made a model to represent his batting

average on his baseball team. What is Frank’s

batting average?

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E8

Place Value of Decimals

•

7

Tenths

3

Hundredths

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1. How does the place value of

the last digit in 1.73 help you

read the decimal?

Check for Understanding

So, the value of each digit is

ones place and the hundredths place

is to the right of the tenths place.

Think: The tenths place is to the right of the

1

Ones

STEP 1

Write 1.73 in the place-value

chart.

7

0.7

•

•

1

1

0.03

3

Hundredths

2. How do you know that the

digit 7 in the decimal is in the

tenths place?

.

Tenths

Ones

1.73 is 1 one or 1.

1.73 is 7 tenths or 0.7.

1.73 is 3 hundredths or 0.03.

STEP 2

Write the value of the digit.

The Brooklyn Battery Tunnel in New York City is about 1.73 miles long.

What is the value of each digit in that number?

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3. Why is it necessary to write a

zero in the tenths place for the

value of the digit 3 in 1.73?

1 + 0.7 + 0.03

STEP 3

Write 1.73 in expanded form.

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Example E8

Example E9

Compare Multi-Digit Numbers

1. How do you know the

hundreds are the same?

Check for Understanding

So, Team A’s points are

225

215

The hundreds are the same.

STEP 1

Use base-ten blocks to show the

points. Compare the hundreds.

Team A

Team B

Team B

2. Why do you compare the tens

when the hundreds are the

same?

Team B’s points.

225

215

2 tens is greater than 1 ten.

So, 225 is greater than 215.

Team A

STEP 2

Compare the tens.

Team A has 225 points. Team B has 215 points. Compare. Are Team A’s

points less than, more than, or equal to Team B’s points?

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3. How do you know what

comparison symbol to use?

225 > 215

225 is greater than 215.

Use the greater than (>)

symbol because the greater

number is given first.

STEP 3

Write < , >, or = to

compare.

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E9

E10

Compare Decimals to Hundredths

0.4 = 0.40

0.4 = 4 tenths

4 tenths = 40 hundredths

2. How is comparing decimals like

comparing whole numbers?

© Houghton Mifflin Harcourt Publishing Company

1. Why do you rewrite the

decimals as hundredths to

compare them?

Check for Understanding

So, _____ ate more of the pie than Gabby.

Use decimals of the same place

value to compare.

0.4 = 4 tenths

0.45 = 45 hundredths

value of its last digit.

Find equivalent hundredths.

Write an equivalent decimal for

0.4 so that both decimals have

the same place value.

Look at the value of the

decimals.

Think: A decimal is named by the place

STEP 2

STEP 1

Gabby ate 0.4 of an apple pie, and Jose ate 0.45 of the same pie.

Who ate more pie?

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E10

0.45

3. How do you compare decimal

parts that have the same place

value?

0.45 is greater than 0.40.

0.40 < 0.45 or 0.45 > 0.40

0.40

Shade the decimal models.

Compare 0.40 and 0.45.

STEP 3

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Example E10

Example E11

Order Decimals

3

3

.

.

0

0

1

4

4

8

1

6

Compare the digits in the tenths

place.

3= 3= 3

Compare the digits in the

hundredths place.

1< 4
So, .318 is the least.
Compare the digits in the
thousandths place.
6> 1

So, .346 is the greatest.

STEP 2

Use the place-value chart to

compare the digits place by place.

1. How does the place-value chart

help order the numbers?

Check for Understanding

2. Why do you compare the digits

in the hundredths place after

comparing the digits in the

tenths place?

So, _______ had the highest batting average.

3

.

0

Tenths Hundredths Thousandths

.

Ones

STEP 1

Write the three numbers in a

place-value chart

Juan batted .346, Carlos batted .341, and Keith batted .318? Order the

batting averages of the three boys from greatest to least. Who had the

highest batting average?

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3. Why is it necessary to compare

the digits in the hundredths

place?

.346 > .341 > .318

STEP 3

Write the numbers in order from

greatest to least.

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E11

E12

Round Multi-Digit Numbers

7

6,

6

Tens

3

Ones

© Houghton Mifflin Harcourt Publishing Company

1. Why do you look at the digit in

the hundreds place?

Check for Understanding

2. How do you know what to

write for the rounded number?

.

If the digit is equal to or greater than

5, the digit in the rounding place

increases by 1.

If the digit is less than 5, the digit in

the rounding place stays the same.

6,763

STEP 2

Look at the digit to its right.

So, 6,763 rounded to the nearest thousand is

Hundreds

Thousands

place to be rounded

STEP 1

Write the number in a

place-value chart. Find the place

to which you want to round.

What is the number of people at the game rounded to the nearest thousand?

An announcer says that there are 6,763 people at a football game.

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3. What digits do you write for

the numbers to the right of the

rounded place?

6,763 rounds to 7,000.

Write zeros for all of the digits

to the right of the rounded

place.

STEP 3

Since 7 is greater than 5, the

digit in the thousands place

increases by 1.

Name

3

Example E12

Example E13

Round Decimals

3

6

8

1. How does the place-value

chart help you round a

decimal?

Check for Understanding

3

6

8

.

Underline the digit to the

right of the circled digit. If the

underlined digit is less than 5,

the circled digit stays the same.

6> 5

•

Ones Tenths Hundredths Thousandths

STEP 2

Find the digit in the place to

which you want to round. Circle

that digit.

2. Why do you underline the

digit in the hundredths place?

So, .368 rounded to the nearest tenth is

•

Ones Tenths Hundredths Thousandths

STEP 1

Write .368 in a place-value

chart.

Alex’s batting average is .368.

What is his batting average rounded to the nearest tenth?

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3

6

8

3. How do you know whether

the digit in the tenths place

increases by 1 or stays the same?

.368 rounded to the nearest

tenth is .4.

•

Ones Tenths Hundredths Thousandths

STEP 3

The underlined digit is 5 or

greater, so the circled digit

increases by 1.

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E13

E14

Meaning of Addition

apples.

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1. How does the model show the

situation?

Check for Understanding

So, there are

7

STEP 1

Use 7 counters to show the

red apples.

2. Why do you use addition to

find how many?

10

STEP 2

Use 10 counters to show the

green apples.

There are 7 red apples and 10 green apples. How many apples

are there?

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3. Why is the answer greater than

each of the two numbers you

added?

7 + 10 = 17

STEP 3

Put the counters together. Add

to find how many apples there

are. Write the number sentence.

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Example E14

Example E15

Addition Facts to 20

1. Why is make a ten a useful

strategy?

Check for Understanding

So, Megan and Inez earned

2. How do you know the sum of

6 + 5 is equal to the sum of

5 + 5 + 1?

merit badges.

Think: 5 + 5 = 10

3. How do you know when to use

each strategy?

6 + 5 = 5 + 5 + 1 = 11

6+ 5

6+ 5

6 + 5 = 10 + 1 = 11

B Use doubles plus 1.

A Make a ten.

Megan earned 6 merit badges at camp. Inez earned 5 merit badges at

camp. How many merit badges did Megan and Inez earn?

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E15

E16

Algebra • Model Addition Problems

muffins.

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1. How do you know how many

cubes to use to show the problem?

Check for Understanding

So, Kiera bakes

Show 12 banana muffins.

Then, show 6 carrot muffins.

STEP 1

Use connecting cubes.

6

2. How is the strip diagram

similar to the cube train?

3. How do you know what

number sentence to write?

12 + 6 = 18

18 muffins

Use the strip diagram to write a number sentence

and solve.

12

STEP 2

Use the connecting cubes to make a strip diagram.

You can use connecting cubes and strip diagrams to show addition problems. Write a

number sentence to solve.

Kiera bakes 12 banana muffins and 6 carrot muffins. How many muffins does she bake?

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Example E16

Example E17

1. How does the Commutative

Property help you figure out

what you need to know to

solve Example A?

Check for Understanding

dimes

3. Why do you use the Associative

Property for Example B?

So, Brian and Barbara have the same number

of fish.

4 + (3 + 2) = (4 + 3) + 2

Barbara: (4 + 3) + 2 = 9

Brian: 4 + (3 + 2) = 9

2. How can you tell you can

solve Example A by using the

Commutative Property?

So, since 7 + 3 = 3 + 7, there must be

in Teresa’s coin bank.

7+ 3= 3+ ■

Teresa

Brian has an aquarium with 4 red-blond guppies.

Then, he buys 3 goldfish and 2 neon tetras. Barbara

has an aquarium with 4 neon tetras and 3 goldfish.

Then, she buys 2 red-blond guppies. Who has

more fish?

Calvin and Teresa have the same number of dimes.

Calvin has 7 dimes in one hand and 3 in the other.

Teresa has 3 dimes in her hand and the rest in a

coin bank. How many dimes are in Teresa’s coin bank?

Calvin

B Associative Property of Addition

Algebra • Addition Properties

A Commutative Property of Addition

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E18

Algebra • Find Unknown Addends

+

=

7

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1. Why do you need to identify

the parts of the addition fact?

5

=

sum – addend = unknown

addend

7

STEP 2

Use a related subtraction fact.

Identify the parts.

2. How are the addition and

subtraction facts related?

eggs to her basket.

Check for Understanding

So, Mary added

addend + unknown = sum

addend

5

STEP 1

Identify the addition fact and all

of its parts.

Mary had 5 eggs in her basket. She added some more eggs and ended up

with 7 eggs in her basket. How many eggs did Mary add to her basket?

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5

=

unknown

addend

2

3. What do you know about the

unknown addend?

7

STEP 3

Subtract to find the difference.

The difference is the unknown

addend.

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Example E18

Example E19

1. How do you know that you are

asked to find an estimate?

2. Why do you use 75 + 25 to

estimate 73 + 26?

600

200

+

400

__

3. How does rounding 214 and

378 to the nearest hundred

help you estimate?

inches of yellow ribbon.

So, 214 + 378 is about 600.

Step 2: Write zeros for the tens and

ones places.

inches of blue ribbon, and about

Check for Understanding

So, Jesse has about

100

So, 73 + 26 is about 100.

75

7 3 73 is close to 75.

+

+

25

2 6 26 is close to 25. __

_

mentally, and are close to the given numbers.

Think: Compatible numbers are easy to compute

Step 1: Look at the digit to the right of

the hundreds place.

214

• 1 < 5, so the digit 2 stays the same.
+
378
• 7 > 5, so the digit 3 increases by 1.

__

Example B

Jesse also has two pieces of yellow ribbon. One piece is 214 inches

long and the other is 378 inches long. About how many inches of

yellow ribbon does Jesse have?

Estimate 214 + 378.

Round each number to the nearest hundred.

Estimate 2-Digit and 3-Digit Sums

Example A

Jesse has two pieces of blue ribbon. One

piece is 73 inches long, and the other is

26 inches long. About how many inches

of blue ribbon does Jesse have?

Estimate 73 + 26.

Use compatible numbers.

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E19

E20

2-Digit Addition with Regrouping

Ones

+

1

© Houghton Mifflin Harcourt Publishing Company

1. Why do you need to regroup

in Step 1?

Check for Understanding

2. How do you show regrouping

with place-value models?

2

8

+

2

8

4

3. In Step 1, what does the

number 1 inside the box mean?

3

1

1

4

Tens Ones

1

Ones

1

Tens

STEP 2 Add the tens. Remember to add the

regrouped ten.

1

Tens Ones

So, Aaron has _______ toy cars altogether.

Tens

STEP 1 Add the ones. Regroup 10 ones as 1 ten.

Aaron has 14 toy cars. He buys 18 more toy cars.

How many toy cars does Aaron have altogether?

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Eample E20

Example E21

Add Multi-Digit Numbers

1. How do you start the addition

process?

Check for Understanding

2. Why do you regroup when

adding?

.

4,152

52

So, the new value of Margaret’s home is $

576,459

+ 47,693

11

576,459

+ 47,693

11 11

Add the thousands. Regroup.

Add the ones. Regroup.

Add the tens. Regroup.

STEP 2

Add the hundreds. Regroup.

STEP 1

Align the addends by place value.

The value of Margaret’s home was $576,459. The value increased

by $47,693. What is the new value of Margaret’s home?

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3. Why do you not regroup in

Step 3?

624,152

576,459

+ 47,693

111 11

Add the hundred thousands.

STEP 3

Add the ten thousands. Regroup.

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E21

E22

Meaning of Subtraction

airplanes green.

© Houghton Mifflin Harcourt Publishing Company

1. What do you notice about the

number of counters you take

away and the number left?

Check for Understanding

So, Bryn paints

11

STEP 1

Use counters to show the group

of airplanes.

2. Why do you use subtraction to

show how many are left?

3

Think: There are 3 red airplanes.

STEP 2

Circle the part you take away.

Then, cross it out.

Bryn paints 11 model airplanes. He paints 3 airplanes red and

the rest green. How many airplanes does Bryn paint green?

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3. What does the answer show?

11 – 3 = 8

1 2 3 4 5 6 7 8

Think: The rest are green.

STEP 3

Count to find the number of

counters left. Write a number

sentence to show how many.

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3

Example E22

Example E23

Subtraction Facts to 20

pencils left.

1. How do you count back to find a difference?

Check for Understanding

So, Ms. Donovan has

12 – 3 = 9

Start at 12. Count 11, 10, 9.

4 5 6 7 8 9 10 11 12 13 14

3 2 1

A

Count back to find the difference.

2. How can you use related addition facts to help

you subtract?

If you know 3 + 9 = 12, you also know 12 – 3 = 9.

3 + 9 = 12

9 + 3 = 12

12 – 3 = 9

Think: What number added to 3 equals 12?

B

Use related addition facts.

Ms. Donovan had 17 pencils. She gave one pencil to each of

3 students. How many pencils does Ms. Donovan have left?

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E23

E24

Algebra • Model Subtraction Problems

4 cups

2

STEP 2

Use a strip diagram to show the

number of cups there are now.

© Houghton Mifflin Harcourt Publishing Company

1. Why are the 2 cubes crossed out?

Check for Understanding

cups of water

2. How does a strip diagram help you subtract?

2

= 2

4- 2= 2

STEP 3

Write the number of cups

of water there are now.

So, Mary shows there are _______ cups of water now by subtracting 4 – 2 = 2.

STEP 1

Use cubes to show the cups of

water. Count the cubes. Mark an

X on the cubes that are taken

from the group. Circle the group.

There are 4 cups of water. Mary drinks 2 cups of water.

How can Mary show how many cups of water there are now?

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Example E24

Example E25

Algebra • Model Compare Problems

1. How do the cubes help you

to show the problem?

Check for Understanding

2. What does the strip diagram

show?

So, Amy has _______ more balloons than Jill.

6

6

6

8

8

8

STEP 2

Use the cubes to help you draw

a strip diagram. Draw one strip

and label it 8. Draw a shorter

strip and label it 6.

STEP 1

Start with connecting cubes.

Show 8 cubes. Then, show

6 cubes.

Amy has 8 balloons. Jill has 6 balloons. How many more balloons

does Amy have than Jill?

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2 balloons

3. How does the strip diagram

help you to solve?

8– 6= 2

6

8

STEP 3

Use the strip diagram to compare

and solve. Write a number

sentence.

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3

E25

E26

Estimate 2-Digit and 3-Digit Differences

25

75

50

_

2. Why do you use 75 – 50 to

estimate 76 – 47?

© Houghton Mifflin Harcourt Publishing Company

1. How do you know that you

are asked to estimate?

Check for Understanding

183

116

__

100

200

100

__

3. How do you round to the nearest

hundred?

miles to bike.

183 – 116 is about 100.

Write zeros for the tens and ones places.

1 < 5, so the digit in the hundreds place stays the same.
Think:
8 > 5, so the digit in the hundreds place increases by 1.

Look at the digit to the right of the hundreds place.

B

Estimate 183 – 116. Round to the nearest hundred.

miles to bike, and Xin has about

76 – 47 is about 25.

76

47

_

So, Anne has about

mentally.

Think: Compatible numbers are easy to subtract

A

Estimate 76 – 47. Use compatible

numbers.

Anne’s goal is to bike 76 miles this month. She has biked 47 miles. About how

many miles does Anne have left to bike? Xin’s goal is to bike 183 miles.

She has biked 116 miles. About how many miles does Xin have left to bike?

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Example E26

Example E27

2-Digit Subtraction with Regrouping

Ones

–

1. Why do you need to regroup in

Step 1?

Check for Understanding

9

3

9

2

2. How do you show regrouping

with place-value models?

2

2

2

12

Tens Ones

1

Ones

12

Tens

STEP 2

Subtract the ones.

12 ones – 9 ones = 3 ones

1

Tens Ones

So, Tanya has _______ pins left.

Tens

Write 1 ten and 12 ones.

subtract 9. Regroup 1 ten as 10 ones.

Think: There are not enough ones to

STEP 1

Tanya has 22 pins on her backpack. She gives away 9 pins to her friends.

How many pins does Tanya have left?

EX AMPLE

E27

© Houghton Mifflin Harcourt Publishing Company

Ones

1

2

1

3

9

2

12

Tens Ones

3. In Step 1, what do the numbers

in the boxes mean?

Tens

STEP 3

Subtract the tens.

1 ten – 0 tens = 1 ten

Name

3

E27

E28

Subtract Multi-Digit Numbers

© Houghton Mifflin Harcourt Publishing Company

1. Why do you use subtraction

to solve?

2. Why is it necessary to regroup

the tens and thousands to

subtract?

feet taller than Mt. Vancouver.

So, Mt. Blackburn is

Check for Understanding

5 13 8 10

1 6, 3 9 0

-1

5, 9 7 9

___

41 1

8 10

STEP 2

Regroup the thousands.

Subtract the hundreds

1 6, 3 9 0

-1

5, 9 7 9

___

1 1

STEP 1

Regroup the tens.

Subtract the ones.

Subtract the tens.

How much taller is Mt. Blackburn than Mt. Vancouver?

Mt. Vancouver and Mt. Blackburn are two mountains in Alaska.

Mt. Vancouver is 15,979 feet tall and Mt. Blackburn is 16,390 feet tall.

EX AMPLE

E28

3. How do you know your

estimate is reasonable?

Estimate to check.

16,400 – 16,000 = 400

1 6, 3 9 0

1 5, 9 7 9

___

41 1

5 13 8 10

STEP 3

Subtract the thousands.

Subtract the ten thousands.

Name

3

Example E28

Example E29

Skip Count by Tens

students seated.

1. Why do you show 10 groups of

10 cubes each?

Check for Understanding

So, there are

3. What number do you say

after 10? Why?

Say: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

STEP 2

Circle groups of 10. Skip count by tens to find

how many.

2. Why do you start counting

with the number 10?

10 tables with 10 students each

STEP 1

Model the problem.

There are 10 tables in the library. Each table seats 10 students.

If all of the tables are full, how many students are seated?

EX AMPLE

E29

© Houghton Mifflin Harcourt Publishing Company

Name

3

E29

E30

Skip Count by Fives

stickers.

3. When you skip count by fives,

what do all of the numbers

have in common?

Say: 5, 10, 15, 20, 25, 30, 35, 40

STEP 2

Circle groups of 5. Skip count by fives to find how many.

2. What number do you start

counting with? Why?

© Houghton Mifflin Harcourt Publishing Company

1. Why do you show 5 counters

in each group?

Check for Understanding

So, Ms. Moore has

8 sheets with 5 stickers each

STEP 1

Model the problem.

Ms. Moore has 8 sheets of stickers. Each sheet has 5 stickers on it.

How many stickers does Ms. Moore have?

EX AMPLE

E30

Name

3

Example E30

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