Question

What is the difference between multiplicative identity and multiplicative inverse

Answer 1

Answer:

The Multiplicative Identity Axiom states that a number multiplied by 1 is that number.

x*1 = x or 1*x = x

The Additive Inverse Axiom states that the sum of a number and the Additive Inverse of that number is zero. Every real number has a unique additive inverse. Zero is its own additive inverse.

x + (-x) = 0

The Multiplicative Inverse Axiom states that the product of a real number and its multiplicative inverse is 1. Every real number has a unique multiplicative inverse. The reciprocal of a nonzero number is the multiplicative inverse of that number. Reciprocal of x is 1/x.

x * 1/x = 1

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