Question

find the product of additive inverse and multiplicative inverse of minus 3 upon 7

Answer 1

additive inverse of -3/7 = 3/7
multiplicative inverse of -3/7 = -7/3
their products = 3/7 * -7/3 = -1

Answer 2

Answer:

The product is -1.

Step-by-step explanation:

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,

$-\frac{3}{7}$

Let, x be the additive inverse of the number,

$-\frac{3}{7}+x=0$

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

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

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

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

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

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

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

$=-1$