Terminating and Repeating Fractions

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, such as 0.75 or 2.5.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal number that has one or more digits that repeat infinitely, such as 0.333... or 0.141414... .

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 an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; its decimal representation is non-terminating and non-repeating, such as pi (π) or the square root of 2.

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Back

0.25

Front

Back

0.375

Front

Identify the rational numbers from the following: 0.5, 1.414, -2, 3.75, pi.

Back

0.5, -2, 3.75 are rational numbers.

Front

Identify the repeating decimal from the following: 0.666..., 1.5, 2.25, 3.14.

Back

0.666... is a repeating decimal.

Front

Back

0.65

Front

Is the number 0.1010010001... rational or irrational?

Back

Irrational, because it does not terminate or repeat.