IXL | Multiply decimals using area models

Use the model to find

0.3

5.7

First, fill in the area of each rectangle.

0.7

0.3

Then, find the total area.

0.3

5.7

ref_doc_title.

Learn with an example

question

Use the model to find

0.4

8.1

First, fill in the area of each rectangle.

0.1

0.4

Then, find the total area.

0.4

8.1

solution

This model represents

0.4

8.1

as a big rectangle made of smaller rectangles. The side lengths of each smaller rectangle are shown.

0.1

0.4

To find the area of each smaller rectangle, multiply the side lengths.

0.4
×
8
=
3.2
0.4
×
0.1
=
0.04

Then, fill in the areas on the model.

0.1

0.4

3.2

0.04

To find the total area of the model, add the areas of the smaller rectangles.

3.2

0.04

3.24

The total area of the model is 3.24.

0.4

8.1

3.24

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Not feeling ready yet? These can help:

CC.6Multiply a decimal by a two-digit whole number using area models

DD.4Multiply two decimals: where does the decimal point go?

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