Repeating and Terminating Decimals

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats a digit or a group of digits indefinitely. For example, 0.333... is a repeating decimal.

Front

What is a terminating decimal?

Back

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

Front

How can you identify if a fraction will result in a repeating or 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. If it has any other prime factors, it will be a repeating decimal.

Front

Convert the fraction 1/3 to a decimal.

Back

1/3 = 0.333... (repeating decimal).

Front

Convert the fraction 1/4 to a decimal.

Back

1/4 = 0.25 (terminating decimal).

Front

What is the decimal equivalent of 2/5?

Back

2/5 = 0.4 (terminating decimal).

Front

Is the decimal 0.666... a repeating or terminating decimal?

Back

0.666... is a repeating decimal.

Front

Convert the decimal 0.125 to a fraction.

Back

0.125 = 1/8.

Front

What is the decimal equivalent of 7/20?

Back

7/20 = 0.35 (terminating decimal).

Front

Is the fraction 1/12 a repeating or terminating decimal?

Back

1/12 is a repeating decimal.