Question

Suppose your brother says that fractions are rational numbers, but fractions are not integers.

Which number is a counterexample for this statement?
A)
10
3
B)
513
C)
5
3
D)
3

Answer 1

Fractions are rational numbers but not integers. Option D) 3 is an integer.

Step-by-step explanation:

Fractions are indeed rational numbers, but they are not integers. A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. Fractions fit this definition because they can be written as a fraction, such as 3/4 or -5/7. Integers, on the other hand, are whole numbers, including both positive and negative numbers, as well as zero. Examples of integers include -2, 0, and 5. So, the statement that fractions are rational numbers but not integers is correct.

In the given options, only option D) 3 is an integer. While the other options are numbers, they are not integers. Option A) 10 and option B) 513 are both whole numbers, but they are not integers because they are positive. Option C) 5/3 is a fraction, which is a rational number, but it is not an integer.

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