What are the additive and multiplicative inverses of −7/5? A)The additive inverse is −5/7; the multiplicative inverse is 7/5. B)The additive inverse is 7/5; the multiplicative inverse is 5/7. C)The additive inverse is −7/5; the multiplicative inverse is −5/7. D)The additive inverse is 7/5; the multiplicative inverse is −5/7.
The additive inverse of a number is the number that, when added to the original number, results in zero. In this case, the additive inverse of -7/5 would be +7/5, as (-7/5) + (7/5) = 0.
The multiplicative inverse of a number is the number that, when multiplied by the original number, results in one. In this case, the multiplicative inverse of -7/5 would be -5/7, as (-7/5) * (-5/7) = 1.
Therefore, the correct answer is:
D) The additive inverse is 7/5; the multiplicative inverse is −5/7.