Percents - How to Use Models to Find the Percent

Percent - Models - How it Works - Video

Example 1

Example 1:

We have 100 squares or 10 x 10 grid. So each column or row contains 10 squares.

In the picture above there are 6 columns completely shaded and 5 shaded in the next column, which means that there are 65 squares shaded in total. How do we get 65?

6*10 + 5 ==> 60 + 5 ==> 65 squares. We have 65 parts out of 100 parts shaded. Percent means number of parts out of 100 so we can drop the words out of 100 so we write it as 65%.

Example 2

Example 2:

We have 100 squares or 10 x 10 grid. So each column or row contains 10 squares.

In the picture above there are 4 columns completely shaded and 3 shaded in one of the columns, which means that there are 42 squares shaded in total. How do we get 43?

4*10 + 3 ==> 40 + 3 ==> 43 squares. We have 43 parts out of 100 parts shaded. Percent means number of parts out of 100 so we can drop the words out of 100 so we write it as 43%.

Example 3

Example 3:

We have 100 squares or 10 x 10 grid. So each column or row contains 10 squares.

In the picture above there are 2 rows completely shaded and 8 shaded in various rows, which means that there are 28 squares shaded in total. How do we get 28?

2*10 + 8 ==> 20 + 8 ==> 28 squares. We have 28 parts out of 100 parts shaded. Percent means number of parts out of 100 so we can drop the words out of 100 so we write it as 28%.

Example 4

Example 4:

We have 100 squares or 10 x 10 grid. So each column or row contains 10 squares.

In the picture above there are 1 row completely shaded and another one, where if we combined the two rows, is a completed shaded. So we have 2 complete rows and 16 shaded in various rows, which means that there are 36 squares shaded in total. How do we get 36?

2*10 + 16 ==> 20 + 16 ==> 36 squares. We have 36 parts out of 100 parts shaded. Percent means number of parts out of 100 so we can drop the words out of 100 so we write it as 36%.

Example 5

Example 5:

We have 100 squares or 10 x 10 grid. So each column or row contains 10 squares.

In the picture above we don't have any rows or columns completely shaded. We do have 4 shaded squares out of 100. How to write that as a percentage.

It is not 40% because that would be 4 complete rows or columns. So 40 shaded squares out of 100.

It is 4% because we start counting at 1% or 1 square shaded, 2% or 2 squares shaded, 3% or 3 squares shaded, and finally 4 % or 4 squares shaded.

Live Worksheet

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