Question

Is 0 is a multiplicative identity for all integers? *



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Answer 1

Step-by-step explanation:

Additive identity: Zero is the additive identity for Rational, natural, whole numbers and integers, since adding it to them does not change the result. Hence, 0 + a = a + 0 = a, where a can be rational number or natural number or whole number of integer.

Answer 2

Answer:

No, 0 is not the multiplicative identity for all integers. Identity means that by operating any number, the answer should be the number itself. Multiplying any number by 0 will result in 0(α x 0 = 0). Therefore the multiplicative identity for multiplication is 1 since α x 1 =α. Thus Identity is retained