4.2B Place Value

Front

What is place value?

Back

Place value is the value of a digit based on its position in a number. For example, in the number 345, the digit 3 is in the hundreds place, so its value is 300.

Front

How do you express a decimal number in expanded notation?

Back

To express a decimal number in expanded notation, break it down into the sum of each digit multiplied by its place value. For example, 32.15 = (3 x 10) + (2 x 1) + (1 x 0.1) + (5 x 0.01).

Front

What is the value of the digit 5 in the number 5,372.48?

Back

The value of the digit 5 in the number 5,372.48 is (5 x 1,000) or 5,000.

Front

What does the digit 2 represent in the number 234,567,890?

Back

In the number 234,567,890, the digit 2 represents 200,000,000.

Front

How is the number 48,206.35 written in expanded notation?

Back

48,206.35 is written in expanded notation as (4 x 10,000) + (8 x 1,000) + (2 x 100) + (6 x 10) + (3 x 0.1) + (5 x 0.01).

Front

What is the value of the digit 7 in the number 5,372.48?

Back

The value of the digit 7 in the number 5,372.48 is (7 x 100) or 700.

Front

What is the place value of the digit 1 in the number 32.15?

Back

In the number 32.15, the digit 1 is in the tenths place, so its value is (1 x 0.1) or 0.1.

Front

How do you find the value of a digit in a large number?

Back

To find the value of a digit in a large number, identify its position and multiply it by the corresponding place value. For example, in 234,567,890, the digit 4 is in the hundred-thousands place, so its value is (4 x 100,000) or 400,000.

Front

What is expanded notation?

Back

Expanded notation is a way of writing numbers to show the value of each digit. For example, 5,432 can be written as (5 x 1,000) + (4 x 100) + (3 x 10) + (2 x 1).

Front

What is the value of the digit 3 in the number 5,372.48?

Back

In the number 5,372.48, the digit 3 is in the tens place, so its value is (3 x 10) or 30.