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Which statement is TRUE?  a.  All integers are whole numbers.  b.  All integers are rational numbers.   c.  Irrational numbers are not real numbers.   d.  All rational numbers are integers.

Question

Which statement is TRUE?  a.  All integers are whole numbers.  b.  All integers are rational numbers.   c.  Irrational numbers are not real numbers.   d.  All rational numbers are integers.

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Solution

The true statement is b. All integers are rational numbers.

Here's why:

a. All integers are whole numbers - This is false. Whole numbers include all positive numbers including zero, but do not include negative numbers. However, integers include both positive and negative numbers.

b. All integers are rational numbers - This is true. Rational numbers are numbers that can be expressed as a fraction a/b where a and b are integers and b is not equal to zero. Since every integer can be expressed as a fraction by dividing it by 1, all integers are rational numbers.

c. Irrational numbers are not real numbers - This is false. Real numbers include both rational and irrational numbers.

d. All rational numbers are integers - This is false. Rational numbers include fractions where the numerator and denominator are integers. These fractions do not have to simplify to an integer. For example, 1/2 is a rational number but not an integer.

This problem has been solved

Similar Questions

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Which of the following is NOT a rational number?

1/3

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