The product of a non – zero number and its multiplicative inverse is _______
a) 1 b) 0 c) -1 d) none of these
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The product of a non – zero number and its multiplicative inverse is 1
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The product of a non-zero number and its Multiplicative Inverse is 1. So, option 'A' is correct.
- Multiplicative Inverse of any number is the reciprocal of that number.
- When any number is multiplied by its Multiplicative Inverse, it always gives 1 as the final answer.
- For any fraction, the Multiplicative Inverse is changed as the numerator becomes the denominator and the denominator becomes the numerator. For example, x/y will have the Multiplicative Inverse as y/x.
- For any integer, the Multiplicative Inverse becomes 1 upon that number. For example, if x is an integer then the Multiplicative Inverse of x will be 1/x, and vice versa.
- Let any number be 10 which is an integer so its Multiplicative Inverse will be 1/10.
- And, 1/7 is a fraction so its Multiplicative Inverse will be reciprocal of the fraction as 7/1 or 7.
Hence, The product of a non-zero number and its Multiplicative Inverse is 1. So, option 'A' is correct.
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