Multiplying Decimals by Decimals Models

Multiply Decimals

*1 decimal place.

*10th place.

3 x 0.2 =

• 6

• 0.6

• 0.06

• 0.006

Multiply Decimals

*2 decimal places

*100th place

3 x 0.02 =

• 6

• 0.6

• 0.06

• 0.006

Multiply Decimals

*1 decimal place.

*tenths place.

3 x 0.3 =

• 9

• 0.9

• 0.09

• 0.009

Multiply Decimals

*2 decimal places.

*hundredths place.

3 x 0.03 =

• 9

• 0.9

• 0.09

• 0.009

The hundredths model in the figure is shaded to represent the multiplying of two numbers.

• 80 x 40 = 3,200

• 0.08 x 0.04 = 0.32

• 0.80 x 0.40 = 0.32

• 0.08 x 0.04 = 0.032

9.4 x 8.6

Mathematical Equivalence

ON

46.51 x 0.1

Mathematical Equivalence

ON

Which equation does this model represent?

• 0.80 x 0.33 = 0.24

• 0.8 x 0.24 = 0.3

• 0.3 x 0.8 = 0.24

• 0.24 x 0.3 = 0.8

Which Equation matches the model? 

• .4 x .2 = 0.8

• 0.6 x 0.1 = 0.06

• 0.2 x 0.4 = 0.8

• 0.2 x 0.4 = 0.08

Multiply Decimals

2 x 0.4 =

• 8

• 0.8

• 0.08

• 0.008