Question

# $1$ is the multiplicative identity for

A

whole numbers

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B

integers

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C

rational numbers

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D

all the above

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Solution

## The correct option is D all the above Explanation for correct option:Multiplicative identity - the whole number which, when multiplied to another whole number, results in the whole number to which it was multiplied.For any number $a$, $a×1=a$,here $1$is the multiplicative identity for $a$.where $a\in \mathrm{ℝ}$Since real number consist of all whole numbers, integers, and rational numbersHence,,$1$ is the multiplicative identity for whole numbers, integers, and rational numbers.Hence, the correct option is $\left(\mathrm{D}\right)$.Explanation for incorrect option:Since, All the option consist of correct answer so, any one option cannot be chosen as correct option.Hence, the correct option is $\left(\mathrm{D}\right)$.

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