Name the set of numbers to which -10 belongs
A whole numbers , integers , rational numbers
B rational numbers
C integers or rational
D whole numbers , natural numbers , integers
so whats the answer
hapy 1234 views
To determine the set of numbers to which -10 belongs, we need to understand the definitions of the given number sets.
A. Whole numbers: Whole numbers are the set of non-negative integers, including 0. So, it does not include negative numbers. Since -10 is a negative number, it does not belong to the set of whole numbers.
B. Rational numbers: Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are integers. This set includes integers since every integer can be expressed as a fraction with a denominator of 1. Therefore, -10 is a rational number.
C. Integers: Integers are the set of whole numbers and their negatives. Consequently, -10 falls within the set of integers.
D. Whole numbers, natural numbers, integers: As stated earlier, whole numbers do not include negative numbers, so -10 does not belong to the set of whole numbers. Natural numbers are a subset of whole numbers and only include positive integers. Thus, -10 is not a natural number. However, since -10 is an integer, it does belong to the set of integers.
Considering the above analysis, we can conclude that -10 belongs to the following sets of numbers:
B. Rational numbers
C. Integers
Therefore, the correct answer is option B or option C, depending on whether the question allows for multiple answers.