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What does the mathematical term ''Multiplicative Inverse'' mean?
The multiplicative inverse of a number (other than zero) is the number such that the product of the two is 1. Thus, the multiplicative inverse of x is 1/x.
Does every non-zero number have a multiplicative inverse?
Every non zero number has a multiplicative inverse, which is 1 divided by that number. This stands for both real and complex numbers. This can be proved by letting x=some non zero number. x*(1/x)=x/x=1, therefore the multiplicative inverse of x is 1/x.
What is zero product property?
Multiplicative Inverse of a NumberReciprocal The reciprocal of x is . In other words, a reciprocal is a fraction flipped upside down. Multiplicative inverse means the same thing as reciprocal. For example, the multiplicative inverse (reciprocal) of 12 is and the multiplicative inverse (reciprocal) of is . Note: The product of a number and its multiplicative inverse is 1. Observe that ·= 1. Multiplicative Inverse of a NumberReciprocal The reciprocal of x is . In other words, a reciprocal is a fraction flipped upside down. Multiplicative inverse means the same thing as reciprocal. For example, the multiplicative inverse (reciprocal) of 12 is and the multiplicative inverse (reciprocal) of is . Note: The product of a number and its multiplicative inverse is 1. Observe that ·= 1.
Is the only rational number which is equal to it's additive inverse?
Zero.
Which real number does not have a multiplicative inverse and why?
That number is zero. It has no inverse because there is no number that you can multiply by zero to get one; to put this another way; The equation 0x= 1 has no solution, bacause 0x = 0 for all real numbers x.
