1. 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

2. Rename Tenths & Hundredths
Write each number as a decimal.
20 hundredths
2,000 hundredths
5,800 hundredths
9 hundredths
5,834 hundredths
950 hundredths
90 tenths
9 tenths
10 tenths
90 tenths
100 tenths
600 tenths
657 tenths
5th Grade Module 2 – Lesson 24

3. Say the division sentence in unit form.
Divide Decimals
Say the division sentence in unit form.
15 ones ÷ 5 =
15 ones divided by 5 equals three ones
5th Grade Module 2 – Lesson 24

4. Say the division sentence in unit form.
Divide Decimals
Say the division sentence in unit form.
15 tenths ÷ 5 =
15 tenths divided by 5 equals three tenths
5th Grade Module 2 – Lesson 24

5. Say the division sentence in unit form.
Divide Decimals
Say the division sentence in unit form.
15 hundredths ÷ 5 =
15 hundredths divided by 5 equals three hundredths
5th Grade Module 2 – Lesson 24

6. Say the division sentence in unit form.
Divide Decimals
Say the division sentence in unit form.
24 hundreds ÷ 6 =
24 hundreds divided by 6 equals 4 hundreds
5th Grade Module 2 – Lesson 24

7. Say the division sentence in unit form.
Divide Decimals
Say the division sentence in unit form.
24 hundredths ÷ 6 =
24 hundredths divided by 6 equals 4 hundredths
5th Grade Module 2 – Lesson 24

8. 5th Grade Module 2 – Lesson 24
Application Problem
A long-time runner compiled her training distances in the chart below. Fill in the missing values.
Solution on next slide…
5th Grade Module 2 – Lesson 24

9. 5th Grade Module 2 – Lesson 24
Solution
5th Grade Module 2 – Lesson 24

10. Draw 5 ten disks and 4 one disks on your white board.
Concept Development
54 ÷ 10
Draw 5 ten disks and 4 one disks on your white board.
Let’s solve this problem using place value disks.
If 1 ten ÷ 10 = 1 one,
What is 5 tens ÷ 10?
If 1 one ÷ 10 =
1 tenth
What is 4 ones ÷ 10? 10
0.1
4 ones ÷ 10 =
4 tenths 1 1
5 tens ÷ 10 =
5 ones 10 1
5 ones
÷ 10
4 tenths 10 1 1 10
So…
54 ÷ 10 =
5 ones 4 tenths or 5.4 10
5 tens
4 ones
5th Grade Module 2 – Lesson 24

11. 5.4 ÷ 10 Let’s compare this with 54 ÷ 10
Concept Development
5.4 ÷ 10 Let’s compare this with 54 ÷ 10
Let’s draw place value disks to solve this problem.
5 ones ÷ 10 =
5 tenths
0.1 1
5 ones
0.01
4 tenths ÷ 10 =
4 hundredths
Turn & Talk with your partner and compare these problems.
0.1
4 tenths
÷ 10
So…
5.4 ÷ 10 =
5 tenths 4 hundredths or 0.54
5th Grade Module 2 – Lesson 24

12. 0.54 ÷ 10 Try solving this one with your partner.
Use ink tools to draw solution or “click” for the solution
5th Grade Module 2 – Lesson 24

13. Think what these problems would look like on a place value chart.
What pattern do you notice with the decimal?
Think what these problems would look like on a place value chart.
Tens
Ones
tenths
hundrdths
thousdths 5 4
5th Grade Module 2 – Lesson 24

14. 54 ÷ 90 So, 54 ÷ 90 = 0.6 5.4 How is this problem different? So…
Our divisor is 90!
We can decompose 90 with 10 as a factor.
Concept Development
How is this problem different?
54 ÷ 90
To Divide 5.4 ÷ 9, think…
54 tenths ÷9
Now think first, What is 54 ÷ 10?
Are we finished?
NO! We still have to divide by 9!
So…
54 ÷ 90 =
54 ÷ 10 ÷ 9
54 tenths ÷ 9 =
6 tenths =
0.6
5.4
÷ 9 =
0.6
So, 54 ÷ 90 = 0.6
5th Grade Module 2 – Lesson 24

15. 5.4 ÷ 90 So, 54 ÷ 90 = 0.06 .54 Let’s try this problem… So… 5.4 ÷ 90 =
We can decompose 90 with 10 as a factor.
Concept Development
Let’s try this problem…
5.4 ÷ 90
To Divide 0.54 ÷ 9 think…
54 hundredths ÷9
Now think first, What is 5.4 ÷ 10?
Are we finished?
NO! We still have to divide by 9!
So…
5.4 ÷ 90 =
5.4 ÷ 10 ÷ 9
54 hudths ÷ 9 =
6 hudths =
0.06
.54
÷ 9 =
0.06
So, 54 ÷ 90 = 0.06
5th Grade Module 2 – Lesson 24

16. 54 ÷ 900 So, 54 ÷ 900 = 0.06 .54 Let’s try this problem… So…
We can decompose 90 with 100 as a factor.
Concept Development
Let’s try this problem…
54 ÷ 900
To Divide 0.54 ÷ 9 think…
54 hundredths ÷9
Now think first, What is 54 ÷ 100?
Are we finished?
NO! We still have to divide by 9!
So…
54 ÷ 900 =
54 ÷ 100 ÷ 9
54 hudths ÷ 9 =
6 hudths =
0.06
.54
÷ 9 =
0.06
So, 54 ÷ 900 = 0.06
5th Grade Module 2 – Lesson 24

17. 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

18. Get Ready to Complete the Problem Set on Your Own!
Complete Pages 2.G.9 & 2.G.10 You will have minutes to work. Try your Best!
5th Grade Module 2 – Lesson 24

19. 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

20. 5th Grade Module 2 – Lesson 24
EXIT
TICKET
Page 2.G.11
5th Grade Module 2 – Lesson 24