Place Values
Multiplying Decimals
Dividing Decimals
Decimal by Whole Number (Multiply or Divide)
Word Problems
100

When multiplying decimals, what is the first step you take in the problem?

Remove decimals (or pretend they aren't there)

100

1.5 x 1.5 

2.25

100

6.5 ÷ 0.5

13

6.5 ÷ 0.5 = 65 ÷ 5 = 13

100

0.25 x 8

2

100

Anna bought 0.5 kg of apples for 2 dollars per kg. How much did she spend?

$1.00

0.5 x 2 = 1

200

Select all expressions that equal 5:

A) 8.0 ÷ 1.6

B) 5.4 ÷ 0.9

C) 7.5 ÷ 1.5

D) 11 ÷ 0.2

A, C, D 


B (5.4 ÷ 0.9) = 6

200

2.6 x 0.3

0.78

26 x 3 = 78.0 *

*Shift your decimal two place values to the left*

200

0.75 ÷ 0.3

2.5

0.75 ÷ 0.3 = 75 ÷ 30 = 2.5

200

1.6 ÷ 4

0.4

200

A bottle holds 1.5 gallons of water. If you fill 5 bottles, how much water do you need?

7.5 gallons of water! 

1.5 x 5 = 7.5

300

When dividing a decimal by a whole number, the first step you should take is to move the _________ to the ____ of the problem  

When dividing a decimal by a whole number, the first step you should take is to move the decimal to the top of the problem.

300

8.1 x 0.7 = 

5.67


81 x 7 = 567 *

Shift decimals two place values to the left

300

1 ÷ 0.125

1 ÷ 0.125 = 1000 ÷ 125 = 8

300

16.8 ÷ 2  

8.4

300

Tom has 12.4 feet of ribbon. He cuts it into 4 equal pieces. How long is each piece?

3.1 feet per piece!

400

When dividing a whole number by a decimal, you can convert the decimal to a fraction, then use this strategy to get the product

Keep, Change, Flip

4 ÷ 0.25 = 4 x 4/1 = 16/1 or 16

400

0.117 x 0.3

0.0351

117 x 3 = 351

Shift decimal four place values to the left

400

19.2 ÷ 0.48

40

400

5.7 x 3

17.1

400

A car travels 0.6 miles per mile. How far will it travel in 60 minutes?

36 miles

500

In order to multiply a number by 1000, you need to shift your place values ________ places to the _______ of the decimal.

In order to multiply a number by 1000, you need to shift your place values 3 places to the right.


Example: 

2.5 x 10 = 25

2.5 x 100 = 250

2.5 x 1000 = 2500

500

0.125 x 0.25 = 

0.03125 

125 x 25 = 3125

Shift your decimal five place values to the left

500

123.4 ÷ 5

123.4 ÷ 5 = 1234 ÷ 50 = 24.68

500

9.8 x 7

68.6

500

Sarah ran 56.7 miles over the past week. She wants to divide this distance into 7 equal parts, to see how many miles she ran per day. How far is each part?

8.1 miles 

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