Terminating VS. Repeating Decimals

Front

What is a decimal that has one or more digits that repeat infinitely?

Back

Repeating decimal

Front

What is a decimal that has a finite number of digits after the decimal point?

Back

Terminating decimal

Front

Is 0.37 a terminating decimal or a repeating decimal?

Back

A terminating decimal

Front

Is 1/2 a terminating decimal or a repeating decimal?

Back

Terminating decimal

Front

How do you express 0.0636363... using bar notation?

Back

0.06̅3̅ (the 3 repeats) or 0.063̅

Front

What is the difference between terminating and repeating decimals?

Back

Terminating decimals have a finite number of digits after the decimal point, while repeating decimals have one or more digits that repeat infinitely.

Front

Can a fraction be a terminating decimal?

Back

Yes, if the denominator (in simplest form) has only the prime factors 2 and/or 5.

Front

What is an example of a repeating decimal?

Back

0.333... (which is equal to 1/3) is a repeating decimal.

Front

What is an example of a terminating decimal?

Back

0.75 is a terminating decimal.

Front

How can you convert a repeating decimal to a fraction?

Back

Set the repeating decimal equal to a variable, multiply to shift the decimal, and solve for the variable.