find the product of additive inverse and multiplicative inverse of -7/13 * 9/49
Answers
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}−73
Let, x be the additive inverse of the number,
-\frac{3}{7}+x=0−73+x=0
x=\frac{3}{7}x=73
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=−37
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}=73×3−7
=-1=−1
Step-by-step explanation:
the answer is -91/9....hope it is helpful for you