Expanded Notations with Decimals (11/15/24)

Expanded notation is a way of writing numbers that shows the value of each digit. It breaks down a number into the sum of each digit multiplied by its place value.

To convert from expanded notation to standard form, you add the values of each term together to get the total value of the number.

In the number 920,428.65, the digit 2 is in the ten-thousands place, so its value is 20,000.

The number 23.84 can be expressed as (2 x 10) + (3 x 1) + (8 x 0.10) + (4 x 0.01).

In the number 3,852.63, the digit 6 is in the tenths place, so its value is 0.6 (or 6 x 0.10).

The standard form of the number is 640,803,000.29.

In the number 130.41, the digit 1 is in the hundreds place, so its value is 100.

The number 130.41 can be expressed as (1 x 100) + (3 x 10) + (4 x 0.10) + (1 x 0.01).

In the number 130.41, the digit 4 is in the tenths place, so its value is 0.4 (or 4 x 0.10).

In the number 3,852.63, the digit 3 is in the thousands place, so its value is 3,000.