0 is a natural number. Tell true or false.
$
{\text{A}}{\text{. True}} \\
{\text{B}}{\text{. False}} \\
$
Answer
629.7k+ views
Hint: we proceed by using the definition of natural numbers and whole numbers.
Complete step-by-step solution -
Natural Numbers (N):
1.All positive integers, beginning from 1 and extending till infinity.
2.These are also called as the counting numbers, since they are used to count objects.
3.Natural numbers a part of (subset of) Real numbers (R); $N \subset R$ .
4.They do not include the positive fractions or decimals.
Whole Numbers (W):
1.All positive integers along with 0, make the set of whole numbers.
2.0 is not called a counting number.
3.Natural number(N) are a part of(subset of) Whole numbers(W), which are a part of Real Numbers(R); $N \subset W \subset R$
4.They do not include the positive fractions or decimals.
The above definitions tell us that 0 is a whole number and not a natural number.
The answer is False.
Option B is correct.
Note: Remember the definitions and the set.
N={1,2,3,4,5,6,7………}
W={0,1,2,3,4,5,6,7……..}
Whole numbers are [0+Natural Numbers].
Complete step-by-step solution -
Natural Numbers (N):
1.All positive integers, beginning from 1 and extending till infinity.
2.These are also called as the counting numbers, since they are used to count objects.
3.Natural numbers a part of (subset of) Real numbers (R); $N \subset R$ .
4.They do not include the positive fractions or decimals.
Whole Numbers (W):
1.All positive integers along with 0, make the set of whole numbers.
2.0 is not called a counting number.
3.Natural number(N) are a part of(subset of) Whole numbers(W), which are a part of Real Numbers(R); $N \subset W \subset R$
4.They do not include the positive fractions or decimals.
The above definitions tell us that 0 is a whole number and not a natural number.
The answer is False.
Option B is correct.
Note: Remember the definitions and the set.
N={1,2,3,4,5,6,7………}
W={0,1,2,3,4,5,6,7……..}
Whole numbers are [0+Natural Numbers].
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