Terminating or 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.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal number that has one or more digits that repeat infinitely after the decimal point.

Front

How can you determine if a fraction is terminating or repeating?

Back

A fraction is terminating if its denominator (in simplest form) has only the prime factors 2 and/or 5. If it has other prime factors, it is repeating.

Front

Convert the fraction 1/4 to a decimal.

Back

0.25 (Terminating decimal)

Front

Convert the fraction 1/3 to a decimal.

Back

0.333... (Repeating decimal) or 0.ar{3}

Front

What is the decimal representation of 48/60?

Back

0.8 (Terminating decimal) because it simplifies to 4/5.

Front

What does bar notation indicate in decimals?

Back

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

Front

Convert the decimal 0.232323... to a fraction.

Back

The fraction is 23/99.

Front

Is the decimal 1.5 a terminating or repeating decimal?

Back

Terminating decimal.

Front

What is the decimal expansion of 1 5/9?

Back

1.555... or 1.ar{5} (Repeating decimal).