1. Compare decimal fractions 3.NF.3d
NYS Math Module 1
Lesson 13
I can:
Subtract decimals 5.NBT.7
Find the product 5.NBT.7
Compare decimal fractions 3.NF.3d
Objective: Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method.

2. Sprint – Subtract Decimals
**9 minutes**
On your mark,
get set,
GO!

3. Say the multiplication sentence in unit form.
Find the Product
Say the multiplication sentence in unit form.
4 x 3 = ____
12 ones
4 x 0.2 = ____
8 tenths
Write the multiplication sentence.
4 x 3.2 = ____
12.8
4 x 3.1 = ____
12.4

4. 4 x 3.21 = ____ 9 x 0.1 = ____ 9 x 0.03 = ____ 9 x 2.13 = ____ 12.84
Solve the following problems.
4 x 3.21 = ____
12.84
9 x 0.1 = ____
0.9
9 x 0.03 = ____
0.27
9 x 2.13 = ____
19.17

5. Solve the following problems.
4.012 x 4 = ____
16.048

6. Solve the following problems.
5 x = _____

7. < = > Compare Decimal Fractions 13.78___13.86 0.78___78/100
Compare the numbers using the greater than, less than, or equal signs.
<
13.78___13.86 =
0.78___78/100
>
439.3___4.39

8. < 5.08 ___fifty-eight tenths
Compare the numbers using the greater than, less than, or equal signs.
<
5.08 ___fifty-eight tenths

9. < Thirty-five and 9 thousandths ___ 4 tens
Compare the numbers using the greater than, less than, or equal signs.
<
Thirty-five and 9 thousandths ___ 4 tens

10. 2 x 4 = 8, so our answer has to be around $8
Word Problem
Louis buys 4 chocolates. Each chocolate costs $ Louis multiplies 4 x 235 and gets Place the decimal to show the cost of the chocolates and explain your reasoning.
2 x 4 = 8, so our answer has to be around $8
2.35 4 X
$9.40

11. Concept Development 0.9 ÷ 3 = 0.3 Divide 9 tenths into 3 equal groups.
0.1
Divide 9 tenths into 3 equal groups.
How many tenths are in each group?
3 tenths
0.9 ÷ 3 = 0.3
Read the number sentence using unit form.

12. 0.24 ÷ 4 = 0.06 Divide 24 hundredths into 4 equal groups.
How many hundredths are in each group?
6 hundredths
Read the number sentence using unit form.
0.24 ÷ 4 = 0.06
24 hundredths ÷ 4 = 6 hundredths

13. 0.032 ÷ 8 = 0.004 Divide 32 thousandths into 8 equal groups.
How many thousandths are in each group?
4 thousandths
Read the number sentence using unit form.
0.032 ÷ 8 = 0.004

14. 0.3 1.5 ÷ 5 = _____ Read this in unit form.
dividend ÷
divisor =
quotient
1.5 ÷ 5 = _____
0.3
15 tenths divided by 5 =
3 tenths
What is 15 tenths divided by 5?

15. Which way of renaming 1.05 is most useful when dividing by 5?
Read this in unit form.
1.05 ÷ 5 = _____
0.21
Is there another way to decompose this quantity (1.05)?
1 one and 5 hundredths or 10 tenths and 5 hundredths
Which way of renaming 1.05 is most useful when dividing by 5?
10 tenths and 5 hundredths
10 tenths ÷ 5 = 2 tenths
5 hundredths ÷ 5 = 1 hundredth
So, the answer is 2 tenths and 1 hundredth = 0.21

16. Which way of renaming 3.015 is most useful when dividing by 5?
Read this in unit form.
0.603
3.015 ÷ 5 = _____
Is there another way to decompose this quantity (3.015)?
3 ones and 15 thousandths or 30 tenths and 15 thousandths
Which way of renaming is most useful when dividing by 5?
30 tenths and 15 thousandths
30 tenths ÷ 5 = 6 tenths
15 thousandths ÷ 5 = 3 thousandths
So, the answer is 6 tenths and 3 thousandths = 0.603

17. What relationships do you notice between these two equations?
4.8 ÷ 6 = 0.8
48 ÷ 6 = 8
4.8 x 10 = 48
0.8 x 10 = 8
How are they alike?
How can knowing 48 ÷ 6 = 8, help you answer 4.8 ÷6?
If you know the fact, you will know the answer, but you have to remember that they are different units.

18. Solve this problem.
408 ÷ 8 = 51
Use the answer above to help you solve the following problem.
4.08 ÷ 8 =
0.51
How are the problems similar?
408 is 100 times more than 4.08 and 51 is 100 times more than 0.51

19. Solve this problem.
63,021 ÷ 7 =
9,003
÷ 7 =
9.003

20. Think of your multiplication facts.
Problem Set Review
Example #1 –
Complete the sentence with the correct number of units
0.3
7 groups of ___ tenths is ÷ 7 = ___ 3
Think of your multiplication facts.
7 x ___ = 21
Example #2 –
Complete the number sentence. Express the quotient in units and then in standard form.
24.26 ÷ 2 = ______ones ÷ 2+ _____ hundredths ÷ 2
= ______ones + ______ hundredths
= ___________ 24 26 12 13
12.13

21. Example #3 – 9 0.9 Example #4 – 81 ÷ 9 = ____ 8,1 ÷ 9 = _____
Find the quotients. Describe the relationships you notice. 9
0.9
81 ÷ 9 = ____ ,1 ÷ 9 = _____
8.1 is 10 times smaller than 81 and so is the quotient (0.9 x10 = 9).
Example #4 –
Are quotients below reasonable? Why or why not?
6.3 ÷ 7 = 9
No, 6.3 is less than 7. If we were splitting it into 7 groups there would be less than 1 whole in each group.

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