Expanded Notation Practice

Expanded notation is a way of writing numbers that shows the value of each digit. For example, 1,253 can be written as (1 x 1,000) + (2 x 100) + (5 x 10) + (3 x 1).

To convert expanded notation to standard form, you add the values of each part together. For example, (1 x 10,000) + (8 x 100) + (5 x 10) + (3 x 1) equals 10,853.

The value of the digit 3 in the number 3,456 is (3 x 1,000).

In the number 45.67, the digit 5 represents (5 x 10).

39.02 can be expressed as (3 x 10) + (9 x 1) + (2 x 0.01).

The value of the digit 8 in the number 302,424.81 is (8 x 0.1).

The standard form is 1,509.74.

The value of the digit 9 in the number 1,234.56 is (9 x 0.1).

To identify the value of a digit in a decimal number, multiply the digit by its place value. For example, in 0.7, the value of 7 is (7 x 0.1).

The expanded notation for 2,305 is (2 x 2,000) + (3 x 100) + (0 x 10) + (5 x 1).