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. be non-terminating AND non-repeating decimals. D. not be a whole number.

C. be non-terminating AND non-repeating decimals.

The number 4.65309130841415...

Irrational(by assumption) because it is not repeating and it is not terminating(ending)

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 rational number?

No, because of 17 is not 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.

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

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