Indicate the set (s) to which the following number belongs. -62 Select all that apply. A. rational numbers B. whole numbers C. real numbers D. integers E. irrational numbers F. natural numbers
The Correct Answer and Explanation is:
The number -62 belongs to the following sets:
A. Rational numbers
C. Real numbers
D. Integers
Explanation:
- Rational numbers: A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero. In this case, -62 can be written as a fraction: −621-\frac{62}{1}−162. Since it is expressible as a ratio of two integers, it is a rational number.
- Real numbers: Real numbers include both rational and irrational numbers. Since -62 is a rational number, it is also a real number. Real numbers consist of all the numbers that can represent a quantity along the number line.
- Integers: Integers are whole numbers and their negatives, including zero. Since -62 is a whole number that is negative, it is an integer.
Sets it does not belong to:
- Whole numbers: Whole numbers are all the non-negative integers: 0, 1, 2, 3, and so on. Since -62 is negative, it is not a whole number.
- Irrational numbers: Irrational numbers are numbers that cannot be expressed as a fraction of two integers. Examples include 2\sqrt{2}2, π\piπ, and e. Since -62 is a rational number, it is not irrational.
- Natural numbers: Natural numbers are the set of positive integers: 1, 2, 3, and so on. Since -62 is negative, it is not a natural number.
In summary, -62 belongs to the sets of rational numbers, real numbers, and integers, but not to whole numbers, irrational numbers, or natural numbers.
