Which numbers from the set {−3,0, 99.9,0.002,9,145,78,−89} are rational numbers?(1 point)
Responses
−3, 0, 9, 145
99.9, 0.002, 78,−89
0, 9, 145, 99.9, 0.002, 78
−3, 0, 99.9, 0.002, 9, 145, 78,−89
The rational numbers are numbers that can be expressed as a fraction of two integers. In the given set, the numbers −3, 0, 9, and 145 can be expressed as fractions: -3 = -3/1, 0 = 0/1, 9 = 9/1, 145 = 145/1. Therefore, the rational numbers in the set are −3, 0, 9, and 145.
The correct answer is: −3, 0, 9, 145.
To determine which numbers from the given set are rational numbers, we need to identify the numbers that can be expressed as a fraction, where the numerator and denominator are both integers.
So, from the set {−3, 0, 99.9, 0.002, 9, 145, 78, −89}, the rational numbers are:
−3, 0, 9, 145
Therefore, the correct answer is option A: −3, 0, 9, 145.