5th Grade Module 2 – Lesson 24

Lesson 24: I can divide decimal dividends by multiples of 10,

reasoning about the placement of the decimal point and making

connections to a written method.

5th Grade Module 2 – Lesson 24

Rename Tenths & Hundredths

Write each number as

a decimal. 9 tenths

10 tenths

90 tenths

90 tenths

100 tenths

600 tenths

657 tenths

9 hundredth

s

20 hundredth

s

950 hundredth

s

2,000 hundredth

s

5,800 hundredth

s

5,834 hundredth

s

5th Grade Module 2 – Lesson 24

Divide Decimals

15 ones ÷ 5 =

Say the division

sentence in unit form.

15 ones divided by 5 equals three ones

5th Grade Module 2 – Lesson 24

Divide Decimals

15 tenths ÷ 5 =

Say the division

sentence in unit form.

15 tenths divided by 5 equals three

tenths

5th Grade Module 2 – Lesson 24

Divide Decimals

15 hundredths ÷ 5 =

Say the division

sentence in unit form.

15 hundredths divided by 5 equals three hundredths

5th Grade Module 2 – Lesson 24

Divide Decimals

24 hundreds ÷ 6 =

Say the division

sentence in unit form.

24 hundreds divided by 6

equals 4 hundreds

5th Grade Module 2 – Lesson 24

Divide Decimals

24 hundredths ÷ 6 =

Say the division

sentence in unit form.

24 hundredths divided by 6

equals 4 hundredths

5th Grade Module 2 – Lesson 24

Application Problem

Solution on next slide…

A long-time runner compiled her training distances in the chart below. Fill in the missing values.

5th Grade Module 2 – Lesson 24

Solution

5th Grade Module 2 – Lesson 24

54 ÷ 10

Concept Development

Let’s solve this

problem using

place value

disks.

Draw 5 ten disks and

4 one disks on your white board.

1

1

1

1

10

10

10

10

10

5 tens 4 ones

If 1 ten ÷ 10 = 1 one,

What is 5 tens ÷ 10?

÷ 10 5 ones1

1

1

1

1

5 tens ÷ 10 = 5 ones

If 1 one ÷ 10 = 1 tenth

What is 4 ones ÷ 10?

4 tenths

0.1

0.1

0.1

0.1

4 ones ÷ 10 = 4 tenths

So…54 ÷ 10 =

5 ones 4 tenths or 5.4

5th Grade Module 2 – Lesson 24

5.4 ÷ 10Let’s compare this with 54 ÷ 10

Concept Development

Turn & Talk with your

partner and compare

these problems.

1

1

1

1

1

5 ones

÷ 10

So…5.4 ÷ 10 =

5 tenths 4 hundredths or 0.54

0.1

4 tenths

0.1

0.1

0.1

5 ones ÷ 10 = 5 tenths

0.1

0.1

0.1

0.1

0.1

0.01

4 tenths ÷ 10 = 4 hundredths

0.01

0.01

0.01

Let’s draw place value

disks to solve this problem.

5th Grade Module 2 – Lesson 24

0.54 ÷ 10Try solving this one with your partner.

Use ink tools to draw solution or “click” for the solution

5th Grade Module 2 – Lesson 24

Tens Ones tenths hundrdths thousdths

5 4

5 4

5 4

0 5 4

Think what these

problems would look

like on a place value

chart.

What pattern do you notice with the

decimal?

5th Grade Module 2 – Lesson 24

54 ÷ 90 Concept Development

So…54 ÷ 90 =

54 ÷ 10 ÷ 9

Our divisor is 90! We can

decompose 90 with 10 as a

factor.

How is this

problem

different?

Now think first, What is 54 ÷

10?

5.4

Are we finished?NO! We still have to divide by 9!

÷ 9 =

To Divide 5.4 ÷ 9, think…

54 tenths ÷9

54 tenths ÷ 9 =6 tenths =

0.6

0.6

So, 54 ÷ 90 = 0.6

5th Grade Module 2 – Lesson 24

5.4 ÷ 90 Concept Development

So…5.4 ÷ 90 =

5.4 ÷ 10 ÷ 9

We can decompose 90 with 10 as a

factor.

Let’s try this

problem…

Now think first, What is 5.4 ÷

10?

.54

Are we finished?NO! We still have to divide by 9!

÷ 9 =

To Divide 0.54 ÷ 9 think…

54 hundredths ÷9

54 hudths ÷ 9 =6 hudths =

0.06

0.06

So, 54 ÷ 90 = 0.06

5th Grade Module 2 – Lesson 24

54 ÷ 900 Concept Development

So…54 ÷ 900 =

54 ÷ 100 ÷ 9

We can decompose 90 with 100 as a

factor.

Let’s try this

problem…

Now think first, What is 54 ÷

100?

.54

Are we finished?NO! We still have to divide by 9!

÷ 9 =

To Divide 0.54 ÷ 9 think…

54 hundredths ÷9

54 hudths ÷ 9 =6 hudths =

0.06

0.06

So, 54 ÷ 900 = 0.06

5th Grade Module 2 – Lesson 24

Try These Problems with Your Partner

0.54 ÷ 90

5.4 ÷ 900

Share solutions in space below using ink tools..

5th Grade Module 2 – Lesson 24

Get Ready to Complete theProblem Set on Your Own!

Complete Pages 2.G.9 & 2.G.10You will have 15-20 minutes to work.

Try your Best!

5th Grade Module 2 – Lesson 24

LET’S DEBRIEF• Describe the pattern that you noticed in our lesson and problem

set when a smaller number is divided by a greater number.

• In problem 1(l), by which factor of 90 did you divide first? Find someone who did it differently. Compare your approach and your quotients.

• Discuss 1(g) and 1(h). How is it possible that the divisors and wholes are different, yet the quotients are the same?

5th Grade Module 2 – Lesson 24

EXITTICKETPage 2.G.11