Terminating VS. Repeating Decimals

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.75 is a terminating decimal.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal number that has one or more digits that repeat infinitely. For example, 0.333... (or 0.3̅) is a repeating decimal.

Front

How can you identify if a fraction will result in a terminating decimal?

Back

A fraction will result in a terminating decimal if its denominator (in simplest form) has only the prime factors 2 and/or 5.

Front

Convert the fraction 1/4 to a decimal.

Back

0.25

Front

Convert the fraction 3/8 to a decimal.

Back

0.375

Front

Convert the fraction 2/5 to a decimal.

Back

0.4

Front

Convert the fraction 7/12 to a decimal.

Back

0.5833... (repeating) or 0.58̅33.

Front

What is the decimal representation of 1/3?

Back

0.333... (or 0.3̅) which is a repeating decimal.

Front

Convert the fraction 5/6 to a decimal.

Back

0.833... (or 0.8̅3) which is a repeating decimal.

Front

What is the decimal representation of 1/2?

Back

0.5, which is a terminating decimal.