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Which of the following numbers are rational numbers?

A. 3−1
B. √12
​C. √9
​D. −0.25
E. π
F. 0.6

User Joshb
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1 Answer

4 votes

Final answer:

Rational numbers are numbers that can be expressed as a ratio of two integers. The rational numbers in the given options are A. 3−1, C. √9, D. −0.25, and F. 0.6.

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero. Let's analyze each option:

A. 3−1: This can be simplified as 3/1, which is a ratio of integers. Therefore, it is a rational number.

B. √12: The square root of 12 is not a ratio of two integers. Therefore, it is not a rational number.

C. √9: The square root of 9 is 3, which can be expressed as 3/1. Therefore, it is a rational number.

D. −0.25: -0.25 can be expressed as -25/100, which is a ratio of integers. Therefore, it is a rational number.

E. π: Pi (π) is an irrational number, as it cannot be expressed as a ratio of two integers.

F. 0.6: 0.6 can be expressed as 6/10, which can be simplified to 3/5. Therefore, it is a rational number.

Based on this analysis, the rational numbers are: A. 3−1, C. √9, D. −0.25, and F. 0.6.

User Igrigorik
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7.7k points