Additive Inverse and Multiplicative Inverse Examples

Let’s solve some example questions on Additive Inverse and Multiplicative Inverse.

1. Find the additive inverse of -12.

The additive inverse of -12 is 12, as -12 + 12 equals 0.

2. Determine the multiplicative inverse of 1/3.

The multiplicative inverse of 1/3 is 3, as (1/3) × 3 equals 1.

3. Solve for ‘x’ in the equation 2x + 5 = 0 using additive inverses.

Subtract 5 from both sides to get 2x = -5. Then, divide by 2 to find x = -5/2.

4. Apply the multiplicative inverse to solve 4y = 8.

Divide both sides by 4 to find y = 2.

5. Use additive inverses to balance the equation 2a – 7 = 5.

Add 7 to both sides to get 2a = 12. Then, divide by 2 to find a = 6.

Additive inverse of a number is what you add to the original number to get a sum of zero. On the other hand, multiplicative inverse of a number is what you multiply the original number by to get a product of one.

Let’s learn about the Additive Inverse and Multiplicative Inverse with the help of solved examples.