Reviewing for exams today... yay...
Anyways, I need some help on this question.
Name the subset(s) of the real numbers to which the number belongs: -7
There's no multiple choice answers by the way.
Well, the only number set that -7 does NOT belong to is the
set of natural numbers, and the set of whole numbers.
What other sets have you studied?
Oooh.. Okay, I just now got it..
I had a major brain fart there for a second.
I get a little nervous around semester exams.
To determine which subset(s) of the real numbers -7 belongs to, we need to understand the different subsets of real numbers. The subsets of real numbers are as follows:
1. Natural Numbers (N): This set includes all positive whole numbers from 1 onwards. Since -7 is not a positive whole number, it does not belong to this subset.
2. Whole Numbers (W): This set includes all positive whole numbers and zero. Since -7 is not a positive whole number or zero, it does not belong to this subset either.
3. Integers (Z): This set includes all positive and negative whole numbers, including zero. Since -7 is a negative whole number, it belongs to this subset.
4. Rational Numbers (Q): This set includes all numbers that can be expressed as a quotient (or fraction) of two integers, where the denominator is not zero. -7 can be expressed as -7/1, which is a fraction with -7 as the numerator and 1 as the denominator. Therefore, -7 is a rational number.
5. Real Numbers (R): This set includes all rational numbers and all irrational numbers. Irrational numbers are numbers that cannot be expressed as a fraction, such as the square root of 2 or pi. Since -7 can be expressed as a fraction, it belongs to the subset of real numbers called rational numbers (Q).
Based on the above analysis, -7 belongs to the subset of real numbers known as the integers (Z) and the rational numbers (Q).