Expanded Notation

You can show the value of a number by writing the expanded notation form of the number.

A number is in its standard form as 36. This represents 3 tens and 6 ones. It is shown visually below.

This image has an empty alt attribute; its file name is number-36.jpg

Its expanded notation is written as:

This image has an empty alt attribute; its file name is expanded-for-36b.jpg

Observe:

  1. 3 groups of 10 is 30. That is 10 + 10 + 10 = 30 or 10 x 3 = 30
  2. 6 groups of 1 is 6. That is 1 + 1 + 1 + 1 + 1 +1 =6 or 6 x 1 = 6
  3. We use the brackets to separate the groups before we add. 30 + 6 = 36.

Thus:

This image has an empty alt attribute; its file name is expanded-for-36c.jpg

Exercise: