Decimals and the Area Model

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# Decimals and the Area Model - PowerPoint PPT Presentation

Decimals and the Area Model. Decimals are fractions written in a different form. They represent a part of the whole. For example how do we shade a portion of the grid that represents ?. How many of these long bars fit in our grid?. 10.

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### Decimals and the Area Model

Your turn – Shade a part of the whole that is represented by the decimal .3

How can we write this as a fraction?

.1

+ .1

+ .1

= .3

or

=

What fraction of the whole is shaded?

How do we represent this as a decimal?

So, the fraction is …

…and as a decimal …

How do we write this as a fraction?

.2

+ .05

…and as a fraction –

Since 25 out of 100 boxes are shaded

=

But, only one way to write that portion as a decimal

.25

100

How many of these little bars fit down the side of our grid?

10

So, in the entire grid, there are 10 x 100 = 1000 little bars.

How can we write this as a fraction?

.001

+

.001

+

.001

+

.001

= .004

How many little squares fit across the top of our grid?

100

How many little squares fit down the side of our grid?

100

So there are 100 x 100 = 10000 little squares in the entire grid.

Since there are 10000 of the little squares in the entire unit grid, each square represents…

or

0.1

0.01

0.001

0.0001

Now for the very cool application of the decimal grid to the conversion of fractions into decimal notation