Question

Ashley wrote the following sets on the board.

a. Whole Numbers
b. Rational Numbers
c. Integers
Which set or sets does the number -9.75 belong to?
d. Integers only
e. Rational Numbers only
f. Integers and Rational Numbers only
g. Whole Numbers, Integers, and Rational Numbers only

Answer 1

The number -9.75 belongs to the set of Rational Numbers and the set of Integers.

Step-by-step explanation:

The number -9.75 belongs to the set of Rational Numbers and the set of Integers.

Rational Numbers: A rational number is any number that can be expressed as a fraction, where the numerator and denominator are integers. In this case, -9.75 can be written as -39/4, which is a fraction where the numerator and denominator are both integers. Therefore, -9.75 is a rational number.

Integers: Integers are the set of whole numbers and their opposites (negative whole numbers). Since -9.75 is a negative whole number, it is an integer.