Question

List all of the number sets that contain the number –8.

A.) integers only
B.) integers and rational numbers
C.) integers and natural numbers
D.) integers, rational numbers, and natural numbers

Answer 1

An integer is a number that encompasses from negative values to positive values but only includes whole number. Rational numbers are fractions. Natural numbers include only positive numbers. In this case, -8 is part of A. integers only

Answer 2

Answer:

The correct option is B.) integers and rational numbers.

Step-by-step explanation:

Consider the provided number –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.

Now consider the provided number –8.

From the above definitions the number –8 is neither natural number nor whole number.

But the number –8 is an integer.

The number –8 can be written as –8/1 which is the p/q form. Thus, it is a rational number.

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

Hence, the correct option is B.) integers and rational numbers.