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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