Expanded Notations with Decimals (11/15/24)

Front

What is expanded notation?

Back

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.

Front

How do you convert a number from expanded notation to standard form?

Back

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

Front

What is the place value of the digit 2 in the number 920,428.65?

Back

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

Front

How is the number 23.84 expressed in expanded notation?

Back

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

Front

What is the value of the digit 6 in the number 3,852.63?

Back

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).

Front

What is the standard form of the number represented by the expanded notation (6 x 100,000,000) + (4 x 10,000,000) + (8 x 100,000) + (3 x 1,000) + (2 x 0.10) + (9 x 0.01)?

Back

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

Front

What does the digit 1 represent in the number 130.41?

Back

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

Front

How can you express the number 130.41 in expanded notation?

Back

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

Front

What is the value of the digit 4 in the number 130.41?

Back

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

Front

What is the significance of the digit 3 in the number 3,852.63?

Back

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