Rational and Irrational Numbers

The real number 42 1/3 is which type of number? A. natural B. irrational C. rational D. whole

C. Rational. Natural numbers are the numbers we naturally use when counting. Irrational numbers are numbers that cannot be written as terminating or repeating decimals. Whole numbers are the natural numbers but includes 0.

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.

C. not contain terminating or repeating decimals.

Is √20 rational or irrational?

Irrational, because 20, the radicand, is not a perfect square. In order for square roots to be rational, the radicand must be a perfect square.

π is which type of number?

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

Is √(-17) a real number?

No, because of the negative sign under the radical symbol.

Which type of number is 8/9?

Rational, because it is a fraction containing to 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.

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.