Select all that apply. to which sets does 5/8 belong. real numbers? rational numbers? irrational numbers? integers whole numbers? natural numbers?

The number 5/8 is real number and rational number.

Step-by-step explanation:

Consider the provided number 5/8

Natural numbers: The natural numbers are 1, 2, 3, 4, 5,…

Whole number: Whole numbers are the set of natural numbers but starts with 0. i.e. 0, 1, 2, 3, 4, 5,…

Integers: Integers are the set of whole number and the negatives of the natural numbers, i.e, … ,-2, -1, 0, 1, 2, …

Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0.

Irrational number: A number is irrational if it cannot be expressed be expressed by dividing two integers. The decimal expansion of Irrational numbers are neither terminate nor periodic.

Real numbers: All rational and Irrational numbers are called real number.

Now consider the provided number 5/8

The number 5/8 is in the form of p/q. Thus, it is a rational number and we know that all rational numbers are real numbers, so 5/8 is a real number.

5/8 is a rational number so it can't be irrational. Thus 5/8 is not irrational.

The value of 5/8 is 0.625

0.625 is neither natural number nor whole number also 0.625 is not an integer.

Hence, the number 5/8 is real number and rational number.