Which of the following statement is TRUE for Whole Numbers?
- (a)They include fractions.
- (b)They include negative numbers.
- (c)They include zero and positive integers.
- (d)They start from 1.
Answer
Why
Correct — C. Whole numbers are 0, 1, 2, 3, …: the counting numbers with zero added.
Zero is neither positive nor negative, and 1, 2, 3, … are the positive integers.
So the set is exactly zero plus the positive integers → option (c)
Why the others are wrong
- (a)They include fractions. — No fractions. Every whole number is an integer, so values such as 1⁄2 or 3.5 are left out. Fractions belong to the rational numbers, which contain the whole numbers, not the reverse.
- (b)They include negative numbers. — No negatives. −1, −2 and −3 are integers but not whole numbers. On the number line the whole numbers stop at 0.
- (d)They start from 1. — Starting from 1 describes the natural (counting) numbers 1, 2, 3, …. The whole numbers add 0 to that list, so they start from 0.
Concept
The number sets nest inside one another.
Natural numbers are 1, 2, 3, …. Add 0 and you get the whole numbers. Add −1, −2, −3, … and you get the integers.
Integers sit inside the rational numbers, which also hold fractions such as 1⁄2 and terminating decimals such as 3.5.
Some mathematics texts count 0 as a natural number too, so the names can overlap outside the classroom. The key follows the school definition: whole numbers are 0, 1, 2, 3, ….
Key facts
- Whole numbers are 0, 1, 2, 3, …, the non-negative integers.
- In the school convention, natural numbers are 1, 2, 3, ….
- 0 is neither positive nor negative.
- Every whole number is an integer, and every integer is a rational number.
Study next
Common traps
- Treating whole and natural numbers as the same set. They differ only by the number 0.
- Calling 0 a positive integer. It is an integer and a whole number, but neither positive nor negative.
20 Sep 2025, 12:30, Quant Q.8 asks which of −4, 0, 3.5 and 1⁄2 is both an integer and a whole number, and keys 0.
23 Sep 2025, 16:00, Quant Q.2 asks for the number that is neither rational nor an integer, and keys the square root of 2.
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