Which of the following is the Multiplicative identity for rational num...
1 is the multiplicative identity for rational numbers, natural numbers, integers.
View all questions of this test
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.
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.
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.