Terminating and Repeating Decimals

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal that has a pattern and goes on forever, such as 0.333... or 0.454545... .

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal that has a finite number of digits after the decimal point, such as 0.5 or 0.75.

Front

How can you identify a repeating decimal from a fraction?

Back

If the fraction's denominator has prime factors other than 2 or 5, it will result in a repeating decimal.

Front

What is the decimal equivalent of 1/3?

Back

0.333... (repeating decimal).

Front

What is the decimal equivalent of 1/4?

Back

0.25 (terminating decimal).

Front

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

Back

A bar notation indicates that the digits under the bar repeat indefinitely, such as in 0.4̅5̅.

Front

What is the decimal equivalent of 9/20?

Back

0.45 (terminating decimal).

Front

If the remainder is 0 when dividing, what type of decimal do you have?

Back

Terminating decimal.

Front

What is the decimal equivalent of 1/12?

Back

0.0833... (repeating decimal).

Front

What is the significance of the prime factors of a denominator in a fraction?

Back

They determine whether the decimal representation of the fraction is terminating or repeating.