Divide Decimals Using Place Value

In these lessons, we will learn how to divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method.

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New York State Common Core Math Grade 5, Module 1, Lesson 13

Worksheets for Grade 5

Lesson 13 Concept Development

Problems 1 - 3

0.9 ÷ 3 =

0.24 ÷ 4 =

0.032 ÷ 8 =

Problems 4–5

1.5 ÷ 5 =

1.05 ÷ 5 =

Lesson 13 Exit Ticket

Complete the sentences with the correct number of units and complete the equation.
a. 2 groups of ____ tenths is 1.8
1.8 ÷ 2 = ____
b. 4 groups of ____ hundredths is 0.32
0.32 ÷ 4 = ____
c. 7 groups of ____ thousandths is 0.021
0.021 ÷ 7 = ____
Complete the number sentence.
Express the quotient in units and then in standard form.
a. 4.5 ÷ 5 = ____ tenths ÷ 5 = ____ tenths = ____
b. 6.12 ÷ 6 =____ ones ÷ 6 + ____hundredths ÷ 6
= ____ ones + ____ hundredths
= ____

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Lesson 13 Homework

Complete the sentences with the correct number of units and complete the equation.
a. 3 groups of ___ tenths is 1.5, 1.5 ÷ 3 =
b. 6 groups of ___ hundredths is 0.24, 0.24 ÷ 6 =
c. 5 groups of ___ thousandths is 0.045, 0.045 ÷ 5 =
Complete the number sentence. Express the quotient in units and then in standard form.
a. 9.36 ÷ 3 = _____ ones ÷ 3 + ____ hundredths ÷ 3
= ____ ones + ____ hundredths
= ______
b. 36.012 ÷ 3 = ones ÷ 3 + thousandths ÷ 3
= ones + thousandths
= ______
c. 3.55 ÷ 5 = tenths ÷ 5 + hundredths ÷ 5
= ______
d. 3.545 ÷ 5 = ____
Find the quotients. Then use words, numbers, or pictures to describe any relationships you notice between each pair of problems and quotients.
a. 21 ÷ 7 = ___, 2.1 ÷ 7 = ___
b. 48 ÷ 8 = ___, 0.048 ÷ 8 = ___
Are the quotients below reasonable? Explain your answer.
a. 0.54 ÷ 6 = 9
b. 5.4 ÷ 6 = 0.9
c. 54 ÷ 6 = 0.09
A toy airplane costs $4.84. It costs 4 times as much as a toy car. What is the cost of the toy car?
Julian bought 3.9 liters of cranberry juice and Jay bought 8.74 liters of apple juice. They mixed the two juices together then poured them equally into 2 bottles. How many liters of juice are in each bottle?

Looking at the unit values within a decimal in order to divide with greater speed and accuracy.

d. 3.545 ÷ 5 =

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Examples:
0.9 ÷ 3 =
0.8 ÷ 4 =
1.5 ÷ 3 =
0.32 ÷ 8 =
30.5 ÷ 5 =
30.15 ÷ 5 =

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