What is the definition of multiplicative inverse?
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a) the product of a number and its multiplicative inverse is 1. example: -8/5 x 5/-8 = 1

b) the product of a number and its multiplicative inverse is 0. example: - 11/2 x 11/2 = 0

c) the product of a number and its multiplicative inverse is 0. example: 7x (-7) = 0

d) the sum of a number and its multiplicative inverse is 0. example: 15/29 + (- 15/29) = 0
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is the answer a, b, c or d?

Answers

C

Step-by-step explanation:

C

C

Step-by-step explanation:

additive inverse:h(x) = x – 24 to j(x) = –x + 24

When trying to determine the additive inverse of an expression, rather than just an integer, multiply the entire expression by -1. This changes the sign of all the terms in the expression, and will sum to 0 when added to the original expression.

multiplicative inverse: k(x) =  x-24 to 1/x-24

just like x-24/1 and reflect it.

C) The additive inverse is positive, while the multiplicative inverse is negative.

Step-by-step explanation:

The answer is C on Edge.   (VERIFIED Edge Answer)

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C) Additive inverse: j(x) = –x + 24; multiplicative inverse: k(x) = 1 / x - 24

Step-by-step explanation:

The answer is C on Edgenuity.  (VERIFIED Edgenuity Answer)

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C) Additive inverse: j(x) = –x + 24; multiplicative inverse: k(x) = 1 / x - 24

Step-by-step explanation:

The answer C on Edgenuity.  

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B.

Step-by-step explanation:

Just did on edge

Answer D :

The multiplicative inverse is equal to v(x), but the additive inverse is not.

Additive inverse: u=-x+24, Multiplicative inverse: v = \frac{1}{x-24}

Step-by-step explanation:

According to real number algebra, the additive and multiplicative numbers are numbers such that:

w+u = 0 and w\cdot v = 1, \forall\,w,u,v\in \mathbb{R}

If w = x-24, then:

Additive inverse

1) x-24 +u=0 Given

2) x+(-24)+u_{1}+u_{2} = 0 Definitions of addition and subtraction

3) x+u_{1} +[u_{2}+(-24)]=0

4) x+u_{1} = 0 \,\wedge\,u_{2}+(-24) = 0

5) u_{1} = -x \,\wedge\,u_{2} = 24 Compatibility with addition/Additive inverse/Modulative property.

6) u=-x+24 By 2) and 5)/Result

Multiplicative inverse

1) (x-24)\cdot v = 1 Given

2) v = (x-24)^{-1} Compatibility with multiplication/Modulative property/Multiplicative inverse

3) v = \frac{1}{x-24} Definition of division/Result

4. because it is the opposite.
The correct answer is letter A
Hope that helps :)


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