Chapter 1, Problem 1RP

Indicate the set(s) to which the number belongs.

		Natural Numbers	Whole Numbers	Integers	Rational Numbers	Irrational Numbers	Real Numbers
1.	-5

To determine

The set in which number $-5$ belongs.

Answer to Problem 1RP

Solution:

The number $-5$ is an integer, rational, and real number.

Explanation of Solution

Integers are those numbers that include zero, negative numbers, and positive numbers. Like $-1$, $-2$, $-3$, 0, 1, 2, 3 are all the integers. Integers have mainly three categories that are zero, positive numbers, and the negative numbers.

Rational numbers are in the form of a fraction, that is, $\frac{p}{q}$ where p is the numerator and q is the denominator. But there is one condition that q that is the denominator of the rational number cannot be zero.

The number $-5$ can be written as $\frac{-5}{1}$.

The real numbers are all those numbers that are on the number line such as integers, rational, and irrational, all the numbers are known as real number.

Therefore, $-5$ is an integer, rational, and real number.