1. 5th Grade Module 1 – Lesson 13
Lesson 13: I can divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method.
5th Grade Module 1 – Lesson 13

2. 5th Grade Module 1 – Lesson 13
Time to Sprint!
Your teacher will give you the subtracting decimals sprint.
5th Grade Module 1 – Lesson 13

3. Find the Product 4 x 3 = ______ 4 x 3 ones = 12 ones
Get your white boards ready!
Say the multiplication sentence in unit form.
4 x 3 = ______
4 x 0.2 = _____
4 x 3.2 = _____
Write the multiplication sentence for #3.
4 x 3 ones = 12 ones
4 x 2 tenths =8 tenths
4 x 3 ones 2 tenths =12 ones 8 tenths
4 x 3.2 = 12.8
5th Grade Module 1 – Lesson 13

4. Find the Product 9 x 2 = ______ 9 x 2 ones = 18 ones
Get your white boards ready!
Say the multiplication sentence in unit form.
9 x 2 = ______
9 x 0.1 = _____
9 x 0.03 = _____
x 4 = _____
9 x 2 ones = 18 ones
9 x 1 tenth =9 tenths
9 x 3 hundredths =27 hundredths
4 ones 12 thousandths x 4
= 16 ones 48 thousandths
5th Grade Module 1 – Lesson 13

5. Compare Decimal Fractions
Have your white boards ready!
Compare using < , > , =
13.78 ____ 13.86
0.78 ____ 78/100
439.3 ____ 4.39
5.08 ____ fifty-eight tenths
Thirty-five and 9 thousandths ____4 tens
< =
>
<
<
5th Grade Module 1 – Lesson 13

6. 5th Grade Module 1 – Lesson 13
Application Problem
Louis buys 4 chocolates. Each chocolate costs $2.35. Louis multiplies 4 x 235 and gets 940. Place the decimal to show the cost of the chocolates and explain your reasoning using words, numbers, and pictures. 4
0.05 2
0.3
5th Grade Module 1 – Lesson 13

7. - Show 9 tenths with your disks.
Concept Development
Have your whiteboards, notebooks, and place value disks ready!
- Show 9 tenths with your disks.
- Divide 9 tenths into 3 equal groups.
- How many tenths are in each group? 1
Ones
0.1
Tenths
0.01
Hundredths
0.001
Thousandths
0.9 ÷ 3 = 0.3
5th Grade Module 1 – Lesson 13

8. Read the number sentence using unit form.
0.9 ÷ 3 = 0.3
Read the number sentence using unit form.
How does unit form help us divide?
Turn and tell your partner.
5th Grade Module 1 – Lesson 13

9. 3 tenths (0.3) 3 groups of _______= 0.9
What is the missing number in our equation?
3 tenths (0.3)
5th Grade Module 1 – Lesson 13

10. - Show 24 hundredths with your disks.
Let’s try it again!
- Show 24 hundredths with your disks.
- Divide 24 hundredths into 4 equal groups.
- How many hundredths are in each group?
0.24 ÷ 4 = 0.06
Read the number sentence using unit form.
How does unit form help us divide?
Turn and tell your partner.
5th Grade Module 1 – Lesson 13

11. Let’s try it again in our notebooks!
- Represent 32 thousandths using dots.
- Divide 32 thousandths into 8 equal groups.
- How many thousandths are in each group? 1
Ones
0.1
Tenths
0.01
Hundredths
0.001
Thousandths
0.032 ÷ 8 = 0.004
Read the number sentence using unit form.
How does unit form help us divide?
Turn and tell your partner.
5th Grade Module 1 – Lesson 13

12. When you say the units, it’s like a basic fact.
1.5 ÷ 5 = _____
Read the equation using unit form.
- What is useful about reading the decimal as 15 tenths?
- What is 15 tenths divided by 5?
When you say the units, it’s like a basic fact.
15 tenths ÷ 5 = 3 tenths 1.5 ÷ 5 = 0.3
5th Grade Module 1 – Lesson 13

13. 5th Grade Module 1 – Lesson 13
1.05 ÷ 5 = _____
105 hundredths divided by 5
Read the equation using unit form.
Is there another way to decompose (name or group) this quantity?
Which way of naming 1.05 is most useful when dividing by 5? Why?
Turn and talk. Then solve.
1 one and 5 hundredths
10 tenths and 5 hundredths
5th Grade Module 1 – Lesson 13

14. Read the equation using unit form.
3.015 ÷ 5 = _____
3,015 thousandths divided by 5
Read the equation using unit form.
Is there another way to decompose (name or group) this quantity?
Which way of naming is most useful when dividing by 5? Why?
Turn and talk. Then solve.
30 tenths and 15 thousandths
301 hundredths and 5 hundredths
5th Grade Module 1 – Lesson 13

15. 4.8 ÷ 6 = 0.8 48 ÷ 6 = 8 How can 48 ÷ 6 help you with 4.8 ÷ 6?
4.8 ÷ 6 = ÷ 6 = 8
What relationships do you notice between these two equations?
How are they alike?
How can 48 ÷ 6 help you with 4.8 ÷ 6?
Turn and talk.
5th Grade Module 1 – Lesson 13

16. 4.08 ÷ 8 = 0.51 and 408 ÷ 8 = 51
What relationships do you notice between these two equations?
How are they alike?
How can 4.08 ÷ 8 help you with 408 ÷ 8 ?
Turn and talk.
5th Grade Module 1 – Lesson 13

17. ÷ 7 = ,021 ÷ 7 = 9,003
What relationships do you notice between these two equations?
How are they alike?
How can ÷ 7 help you with 63,021 ÷ 7 ?
Turn and talk.
5th Grade Module 1 – Lesson 13

18. Get Ready to Complete the Problem Set on Your Own!
When completing your problem set, remember to use what you know about whole numbers to help you divide the decimals. Complete Pages 1.F F.12 You will have 10 minutes to work. Try your Best!
5th Grade Module 1 – Lesson 13

19. 5th Grade Module 1 – Lesson 13
Debrief
In 2(a), how does your understanding of whole number division help you solve the equation with a decimal?
Is there another decomposition of the dividend in 2(c) that could have been useful in dividing by 2? What about in 2(d)? Why or why not?
When decomposing decimals in different ways,
how can you tell which is the most useful?
5th Grade Module 1 – Lesson 13

20. 5th Grade Module 1 – Lesson 13
Debrief
In 4(a), what mistake is being made that would
produce 5.6 ÷ 7 = 8?
Correct all the dividends in Problem 4 so that the quotients are correct. Is there a pattern to the changes that you must make?
4.221 ÷ 7 ____=
Explain how you would decompose so that you only need knowledge of basic facts to find the quotient.
5th Grade Module 1 – Lesson 13

21. 5th Grade Module 1 – Lesson 13
Exit Ticket Time!
5th Grade Module 1 – Lesson 13