No, not all integers are whole numbers , but all whole numbers are integers. Here's a clear explanation:
Definitions
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Integers : The set of integers includes all positive and negative whole numbers, including zero. Formally:
…,−3,−2,−1,0,1,2,3,…\dots,-3,-2,-1,0,1,2,3,\dots …,−3,−2,−1,0,1,2,3,… -
Whole Numbers : The set of whole numbers typically includes all non-negative integers, meaning zero and all positive integers. Formally:
0,1,2,3,…0,1,2,3,\dots 0,1,2,3,…
Key Point
- Whole numbers = {0, 1, 2, 3, ...}
- Integers = {..., -3, -2, -1, 0, 1, 2, 3, ...}
Since integers include negative numbers and whole numbers do not, not all integers are whole numbers. However, every whole number is an integer. If you want, I can also provide examples or explain related concepts like natural numbers or rational numbers!
