Terminating and Repeating Decimals

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal that has a finite number of digits after the decimal point.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal that has a pattern of digits that repeats infinitely.

Front

How can you identify a terminating decimal from a fraction?

Back

A fraction is a terminating decimal if, when simplified, its denominator has only the prime factors 2 and/or 5.

Front

What is the decimal representation of the fraction 1/4?

Back

0.25, which is a terminating decimal.

Front

What is the decimal representation of the fraction 1/3?

Back

0.333..., which is a repeating decimal.

Front

What does it mean if a decimal has a bar notation?

Back

Bar notation indicates that the digits under the bar repeat indefinitely.

Front

Convert the fraction 3/8 to a decimal.

Back

0.375, which is a terminating decimal.

Front

What is the relationship between fractions and decimals?

Back

Fractions can be expressed as decimals, and they can be either terminating or repeating.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal over its place value and simplify.

Front

What is the decimal equivalent of 0.75?

Back

3/4, which is a terminating decimal.