How do you divide

1.6 ÷ 0.2?

In this lesson you will learn how to divide decimals by

using your understanding of multiplication.

Let’s ReviewLet’s ReviewMultiplication and division are inverse

operations.

45 ÷ 9 = n

n x 9 = 45

9 x n = 45

Let’s ReviewLet’s Review

0.01 x 10 =

Multiplying a number by 10 gives a product that is 10 times as large as the original number.

0.10 = 0.1

0.1 x 10

= 1

Let’s ReviewLet’s Review

0. 1 ÷ 10 =

Dividing a number by 10 gives a quotient that is 10 times smaller than the original number.

0.011 ÷ 10

= 0.1

Let’s ReviewA Common Mistake

Forgetting to take the decimal into consideration when dividing.

12 ÷ 0.6 ≠ 2

Let’s ReviewCore Lesson 1.6 ÷ 0.2

8x 2 = 16

I could count 0.2, 0.4, 0.6, etc.

8 groups of 2 is 16 so 8 groups of

0.2 is 1.6How many groups of 2

tenths are in 16 tenths?

1.6 ÷ 0.2 = 8

so 8 x 0.2 = 1.6

Let’s ReviewCore Lesson

7 x 5 = 35

I could count $0.50, $1, $1.50,

etc. 7 groups of 5 is

35 so 7 groups of $0.50 is $3.50

How many groups of $0.50

are in $35?

$35 ÷ $0.50 = 70

so 7x $0.50 = $3.50

Jack has $35 and he wants to buy some grapes that cost $.50 a lb. How many pounds of grapes could he buy?

70 groups of $0.50 is $35so 70x $0.50 = $35

In this lesson you have learned how to divide decimals by using your knowledge of

multiplication.

Let’s ReviewGuided Practice

4.2 ÷ 0.2

Let’s ReviewExtension Activities

Write an explanation about how you can use what you know about multiplication to solve this problem: 5.2 divided by 0.1.

Let’s ReviewExtension Activities

Write an explanation about how you can use what you know about multiplication to solve this problem: 12.12 divided by 0.12.

Let’s ReviewQuick Quiz Which one of these describes a way

to use multiplication to divide 2.1 by 0.3?

A

B

CThere are 7 groups of 3 in 21 so there are 7 groups of 0.3 in 2.1.

There are 7 groups of 3 in 21 so there are 70 groups of 0.3 in 2.1.

There are 3 groups of 7 in 21 so there are 3 groups of 0.3 in 2.1.

Let’s ReviewQuick Quiz Which one of these describes a way

to use multiplication to divide 44 by 0.11?

A

B

CThere are 4 groups of 11 in 44 so there are 4 groups of 0.11 in 44.

There are 4 groups of 11 in 44 so there are 40 groups of 0.11 in 44.

There are 4 groups of 11 in 44 so there are 400 groups of 0.11 in 44.