Rational and Irrational Numbers

a/b is a rational number so long as...

...a and b are integers, and b is not zero.

Evaluate √144. Is it rational?

12. Yes it is rational. 12 can be written as 12/1.

π is which type of number?

Irrational, because it is a non-termintating, non-repeating decimal.

Is √20 rational or irrational?

Irrational, because the radicand, is not a perfect square. In order for square roots to be rational, the radicand must be a perfect square.

Which type of number is 8/9?

Rational, because it is a fraction containing two integers.

Is 0.3 rational or irrational?

Rational, because it is a terminating decimal. This means that the numbers after the decimal stop and can be counted.

Is -71938 rational or irrational?

Rational, because it is an integer and so can be written as a ratio a/b, b≠0.

Is √9 rational or irrational?

Rational, because the radicand, is a perfect square. In order for square roots to be rational, the radicand must be a perfect square.

The number 3.125125125... is which type of real number?

Rational. The decimal prevents it from being a whole number, rational number, and an integer. It is not irrational because it is a repeating decimal.

A decimal that ends.

a terminating decimal

A whole number that may be positive or negative.

an integer

For a number to be irrational it must A. be a perfect square. B. be a negative integer. C. not contain terminating or repeating decimals. D. not be a whole number.

not contain terminating or repeating decimals.