Question

What is the product of multiplicative inverse and the additive inverse of the number - 5/7 Sensible answers will be marked brainliest!

Answer 1

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Answer 2

-1

step by step

A number gives 0 ( additive identity ) after adding with its Additive inverse and it gives 1 ( multiplicative inverse ) after multiplication with its multiplicative inverse.

Here, the given number is,

-\frac{3}{7}−

7

3

Let, x be the additive inverse of the number,

-\frac{3}{7}+x=0−

7

3

+x=0

x=\frac{3}{7}x=

7

3

Thus, the additive inverse of -3/7 is 3/7.

Now, let the y be the multiplicative inverse of -3/7,

\implies \frac{-3}{7}\times y = 1\times y = -\frac{7}{3}⟹

7

−3

×y=1×y=−

3

7

Thus, the multiplicative inverse of -3/7 is -7/3.

Hence, the product of additive inverse and multiplicative inverse of minus 3 upon 7

=\frac{3}{7}\times \frac{-7}{3}=

7

3

×

3

−7

=-1

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