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​Which of the following is INCORRECT? ​
Question

Which of the following is INCORRECT?

A.

1 is the multiplicative identity of rational numbers.

B.

Commutative property holds in the set of natural numbers under addition.

C.

Every rational number is a whole number.

D.

Reciprocal of 1 is 1.

Correct option is C

Solution:

Option A: True. The number 1 is the multiplicative identity for rational numbers since multiplying any rational number by 1 does not change its value.

Option B: True. The commutative property holds for natural numbers under addition (e.g., 2+3=3+22 + 3 = 3 + 22+3=3+2).

Option C: Incorrect. Not every rational number is a whole number.

For example, 12\frac {1}{2}​ is a rational number but not a whole number.

Option D: True. The reciprocal of 1 is indeed 1. ( since,  11=1 \frac{1}{1} = 111\frac {1}{1}​=1   )

The Incorrect option is C: Every rational number is a whole number.


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