Decimal Flashcard: Terminating and 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, such as 0.75 or 2.5.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal number that has one or more digits that repeat infinitely, such as 0.666... or 0.123123... .

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

What is the decimal representation of 1/4?

Back

0.25

Front

What is the decimal representation of 1/3?

Back

0.333... (repeating) or 0.3 with a bar over the 3.

Front

Convert the fraction 9/12 to a decimal.

Back

0.75 (Terminating decimal).

Front

What is the decimal representation of 2 divided by 3?

Back

0.666... (repeating) or 0.6 with a bar over the 6.

Front

Express 0.0636363... using bar notation.

Back

0.0636̅ (the 36 repeats).

Front

What is the decimal equivalent of the fraction 5/8?

Back

0.625 (Terminating decimal).

Front

Is 0.5 a terminating or repeating decimal?

Back

Terminating decimal.