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What set of numbers does 30 belong to?
To any set that contains it! It belongs to {30}, or {45, sqrt(2), 30, pi, -3/7}, or all whole numbers between 23 and 53, or multiples of 5, or square roots of 900, or composite numbers, or counting numbers, or integers, or rational numbers, or real numbers, or complex numbers, etc.
How can a number belong to more than one set of numbers?
A set is just a way of describing numbers, and numbers can be described in more than one way. If set A is (for example) all positive prime numbers, and set B is all numbers between 0 and 10, then there are some numbers (2, 3, 5, and 7) that could belong to both sets.
What set of numbers does not include pi divided by pi?
Any set that does not contain the number 1. For example, even integers, multiples of 3, or 4, or 5, ... (0, 1) {1/2, 2/3, 3/4, 4/5, ...} {pi, pi2, pi3, ... }
What set of numbers does -12 belong to?
Any set that contains -1.2, whether finite or infinite. For example, the set consisting of only -1.2 ie {-1.2}, the set consisting of -1.2 and 5 = {-1.2,5}, the set consisting of -1.2 and 3 and sqrt(17) = {-1.2,3,sqrt(17)}, and so on.
What are all the sets that -3.15 belongs to?
To any set that contains it! It belongs to {-3.15}, or {-3.15, sqrt(2), pi, -3/7}, or all numbers between -4 and +5, or negative numbers, or rational numbers, or real numbers, or complex numbers, etc.
