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. For example, 0.75 and 2.5 are terminating decimals.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal number that has one or more digits that repeat infinitely. For example, 0.333... (or 0.ar{3}) and 0.666... (or 0.ar{6}) are repeating decimals.

Front

Identify the repeating decimal: –0.0̅353, 3.611, –1.35555..., 2.15, 7.7770

Back

–0.0̅353 and –1.35555... are repeating decimals.

Front

Which fraction can be expressed as a repeating decimal? 3/6, 5/8, 7/10, 11/12

Back

11/12 can be expressed as a repeating decimal.

Front

Which fraction can be expressed as a terminating decimal? 1/9, 3/11, 5/8, 2/3

Back

5/8 can be expressed as a terminating decimal.

Front

What is a rational number?

Back

A rational number is a number that can be written as a fraction of two integers (whole numbers), where the denominator is not zero.

Front

What is the decimal representation of 1/4?

Back

The decimal representation of 1/4 is 0.25, which is a terminating decimal.

Front

What is the decimal representation of 1/3?

Back

The decimal representation of 1/3 is 0.333..., which is a repeating decimal.

Front

How can you identify if a fraction will be a terminating decimal?

Back

A fraction will be a terminating decimal if its denominator (in simplest form) has only the prime factors 2 and/or 5.

Front

Estimate the value of √22 to the nearest whole number.

Back

The estimated value of √22 to the nearest whole number is 5.