NYS Math Module 1 Lesson 13 Objective: Divide decimals by single- digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method. I can: Subtract decimals 5.NBT.7 Find the product 5.NBT.7 Compare decimal fractions 3.NF.3d
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NYS Math Module 1 Lesson 13
Objective: Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method.
I can:
Subtract decimals 5.NBT.7Find the product
5.NBT.7Compare decimal fractions
3.NF.3d
Sprint – Subtract Decimals
**9 minutes**
get set,
GO!
On your mark,
Find the ProductSay the multiplication sentence in unit form.
4 x 3 = ____
4 x 0.2 = ____
4 x 3.2 = ____
4 x 3.1 = ____
Write the multiplication sentence.
12 ones 8 tenths
12.8
12.4
4 x 3.21 = ____
9 x 0.1 = ____
9 x 0.03 = ____
9 x 2.13 = ____
Solve the following problems.
12.84
0.9
0.27
19.17
4.012 x 4 = ____
Solve the following problems.
16.048
5 x 3.2375 = _____
Solve the following problems.
16.1875
Compare Decimal Fractions
13.78___13.86 <Compare the numbers using the greater than, less
than, or equal signs.
0.78___78/100 =
439.3___4.39 >
5.08 ___fifty-eight tenths <
Compare the numbers using the greater than, less than, or equal signs.
Thirty-five and 9 thousandths ___ 4 tens<
Compare the numbers using the greater than, less than, or equal signs.
Word ProblemLouis 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.
2 x 4 = 8, so our answer has to be around $8
2.35 4X
$9.40
Concept Development
Divide 9 tenths into 3 equal groups.
0.1 0.10.1 0.10.1 0.10.1 0.10.1
How many tenths are in each group?3 tenths
0.9 ÷ 3 = 0.3
Read the number sentence using unit form.
Divide 24 hundredths into 4 equal groups.
How many hundredths are in each group?6 hundredths
0.24 ÷ 4 = 0.06
Read the number sentence using unit form.
24 hundredths ÷ 4 = 6 hundredths
Divide 32 thousandths into 8 equal groups.
How many thousandths are in each group?4 thousandths
0.032 ÷ 8 = 0.004
Read the number sentence using unit form.
1.5 ÷ 5 = _____
Read this in unit form.
What is 15 tenths divided by 5?
0.3
dividend
÷ divisor
= quotient
15 tenths divided by 5 = 3 tenths
Read this in unit form.
1.05 ÷ 5 = _____Is there another way to decompose this quantity (1.05)?
1 one and 5 hundredths or 10 tenths and 5 hundredthsWhich way of renaming 1.05 is most useful
when dividing by 5?
10 tenths and 5 hundredths10 tenths ÷ 5 = 2 tenths
5 hundredths ÷ 5 = 1 hundredthSo, the answer is 2 tenths and 1 hundredth = 0.21
0.21
Read this in unit form.
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 3.015 is most useful when dividing by 5?
30 tenths and 15 thousandths30 tenths ÷ 5 = 6 tenths
15 thousandths ÷ 5 = 3 thousandthsSo, the answer is 6 tenths and 3 thousandths =
0.603
0.603
What relationships do you notice between these two equations?
4.8 ÷ 6 = 0.8
How are they alike?
If you know the fact, you will know the answer, but you have to remember that they are different units.
How can knowing 48 ÷ 6 = 8, help you answer 4.8 ÷6?
48 ÷ 6 = 8
4.8 x 10 = 48 0.8 x 10 = 8
408 ÷ 8 =
Solve this problem.
51
Use the answer above to help you solve the following problem.
4.08 ÷ 8 =
0.51How are the problems similar?
408 is 100 times more than 4.08 and 51 is 100 times more than 0.51
63,021 ÷ 7 =
Solve this problem.
9,003
63.021 ÷ 7 =
9.003
Problem Set ReviewExample #1 –Complete the sentence with the correct number of units
7 groups of ___ tenths is 2.1 2.1 ÷ 7 = ___
Think of your multiplication facts.
7 x ___ = 21
3 0.3
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 2612 13
12.13
Example #3 –Find the quotients. Describe the relationships you notice.
81 ÷ 9 = ____ 8,1 ÷ 9 = _____9 0.9
Example #4 –Are quotients below reasonable? Why or why not?
6.3 ÷ 7 = 9
8.1 is 10 times smaller than 81 and so is the quotient (0.9 x10 = 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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Worksheets in this file are from NYS Math Module 1 Grade 5. I have simply minimized the pages to reduce the use of paper. For the entire module visit:www.engageny.org/resource/grade-5-mathematics-module-2
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