Place Value with Decimals Expanded

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

What does expanded form mean?

Back

Expanded form is a way of writing numbers that shows the value of each digit. For example, 345 in expanded form is 300 + 40 + 5.

Front

How do you write a decimal in expanded form?

Back

To write a decimal in expanded form, break it down by place value. For example, 7.58 can be written as 7 + 0.5 + 0.08.

Front

What is the tenths place in a decimal?

Back

The tenths place is the first digit to the right of the decimal point. For example, in 3.4, the 4 is in the tenths place.

Front

What is the hundredths place in a decimal?

Back

The hundredths place is the second digit to the right of the decimal point. For example, in 2.56, the 5 is in the tenths place and the 6 is in the hundredths place.

Front

What is the thousandths place in a decimal?

Back

The thousandths place is the third digit to the right of the decimal point. For example, in 0.789, the 9 is in the thousandths place.

Front

How do you identify the place value of a digit?

Back

To identify the place value of a digit, look at its position in the number. For example, in 5.432, the 4 is in the tenths place, the 3 is in the hundredths place, and the 2 is in the thousandths place.

Front

What is the value of the digit 6 in the number 6.84?

Back

The value of the digit 6 in the number 6.84 is 6, because it is in the ones place.

Front

How do you convert a decimal to expanded notation?

Back

To convert a decimal to expanded notation, express each digit according to its place value. For example, 0.456 can be written as (4 x 1/10) + (5 x 1/100) + (6 x 1/1000).

Front

What is the value of 0.07 in expanded form?

Back

0.07 can be written in expanded form as (0 x 1) + (7 x 1/100).