Question

Two values are shown. m=9 and n=2. Determine if the values of m and n are rational or irrational.

a) m is rational and n is irrational
b) Both m and n are irrational
c) Both m and n are rational
d) m is irrational and n is rational

Answer 1

The values m=9 and n=2 are both rational numbers because they can be expressed as fractions with integers in both the numerator and the denominator.

Step-by-step explanation:

We are given two values, m=9 and n=2, and we need to determine whether these values are rational or irrational. A rational number can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero. An irrational number cannot be expressed as a simple fraction; its decimal goes on forever without repeating.

For the value of m=9, this is a whole number, and all whole numbers are rational because they can be expressed as a fraction (in this case, 9/1). For the value of n=2, this is also a whole number and follows the same logic as 'm'; it is rational as it can be represented as the fraction 2/1.

Therefore, the correct answer is:
c) Both m and n are rational.