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

Convert the fraction 1/4 to a decimal.

Back

0.25

Front

Convert the fraction 2/3 to a decimal.

Back

0.666... (repeating)

Front

What is bar notation?

Back

Bar notation is a way to represent repeating decimals by placing a bar over the digits that repeat, such as 0.6̅ for 0.666... .

Front

Is 0.5 a terminating or repeating decimal?

Back

Terminating decimal.

Front

Is 0.333... a terminating or repeating decimal?

Back

Repeating decimal.

Front

What is the decimal equivalent of 9/12?

Back

0.75 (Terminating decimal)

Front

Express 0.0636363... in bar notation.

Back

0.0636̅