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Which of the following is the Multiplicative identity for rational numbers?
  • a)
    1
  • b)
    -1
  • c)
    0
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which of the following is the Multiplicative identity for rational num...
1 is the multiplicative identity for rational numbers, natural numbers, integers.
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Which of the following is the Multiplicative identity for rational num...
Multiplicative identity for rational numbers

The multiplicative identity for any number system is the number that, when multiplied by any other number in that system, gives the same number as the result. In other words, it is the number that leaves other numbers unchanged when it is multiplied by them.

For rational numbers, the multiplicative identity is the number that, when multiplied by any other rational number, gives the same rational number as the result.

The multiplicative identity for rational numbers is 1.

Proof:

Let's take any rational number, say 2/3.

Multiplying it by 1 will give us the same number.

2/3 x 1 = 2/3

Similarly, if we take any other rational number, say -4/5, and multiply it by 1, we get the same number.

-4/5 x 1 = -4/5

Hence, we can see that 1 is the multiplicative identity for rational numbers.

Conclusion:

The correct answer is option 'A', i.e., 1, because it is the number that, when multiplied by any other rational number, gives the same rational number as the result.
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Community Answer
Which of the following is the Multiplicative identity for rational num...
Answer A is correct because 1 can be multiplied to any number.Every number has a Multiplicative Identity by it's own.
EXAMPLE:-
5 is multiplicative identity  or not?
Ans: Yes it is.
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Which of the following is the Multiplicative identity for rational numbers?a)1b)-1c)0d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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