# Decimals

## Place Value and Comparing Decimals

### Place Value for Decimals

Just as "ones," "tens," and "hundreds" are used to describe place value for whole numbers, there are terms that describe place value for decimals: tenths, hundredths, thousandths, ten thousandths, hundred thousandths, millionths, etc. These terms are used from left to right, starting with the first numeral after the decimal point. For example, the number 0.1234 has a "1" in the tenths place, a "2" in the hundredths place, a "3" in the thousandths place, and a "4" in the ten thousandths place. The number 78.304 has a "7" in the tens place, an "8" in the ones place, a "3" in the tenths place, a "0" in the hundredths place, and a "4" in the thousandths place.

Because our system is base ten, a value of 10 in one place is equal to a value of 1 in the place to the left: 10 thousandths is equivalent to 1 hundredth, 10 hundredths is equivalent to 1 tenth, 10 tenths is equivalent to 1 one, and so on.

Example 1. What are the place values for 67.0534?

67.0534 has a 6 in the tens place, a 7 in the ones place, a in the tenths place, a 5 in the hundredths place, a 3 in the thousandths place, and a 4 in the ten thousandths place.