Mathematics

Mathematics

Problem

For each number in the list {0, −5, 4.5, 18, 113}\{0,\,-5,\,4.5,\,\sqrt{18},\,\dfrac{11}{3}\}, write the smallest set it belongs to among Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers.
Intuitive explanation

The key is understanding that these number sets form a hierarchy, each containing the previous one—so you're finding the smallest (most restrictive) set that still includes each number. Start by checking: Is it a whole number? If not, is it an integer? If not, can it be written as a fraction of integers? If not, it's irrational. For each number, trace down this decision tree to find where it first "fits."

Intuitive explanation

The key is understanding that these number sets form a hierarchy, each containing the previous one—so you're finding the smallest (most restrictive) set that still includes each number. Start by checking: Is it a whole number? If not, is it an integer? If not, can it be written as a fraction of integers? If not, it's irrational. For each number, trace down this decision tree to find where it first "fits."

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