Expressing Rational Numbers as Terminating Decimals

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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

Convert 3/20 to a decimal.

Back

0.15

Front

Convert 5/9 to a decimal.

Back

0.555... (repeating decimal)

Front

Convert 1/4 to a decimal.

Back

0.25

Front

Does 3/15 terminate or repeat?

Back

Terminates

Front

Which number is a terminating decimal: 1/3 or 1/4?

Back

1/4 is a terminating decimal (0.25), while 1/3 is a repeating decimal (0.333...).

Front

What is the decimal representation of 2/5?

Back

0.4

Front

Is 7/8 a terminating decimal?

Back

Yes, 7/8 is a terminating decimal (0.875).