1

Problem

Find the additive and multiplicative inverse of a:
\$ (1/3) a - 6 \$ = 2

2

Step

Let’s solve for a:

\$ (1/3) a - 6 \$ = 2

3

Step

Add 6 to both sides to isolate \$(1/3)a\$:

\$ (1/3) a - 6 + 6 = 2 + 6\$

\$ (1/3) a = 8 \$

4

Step

Multiply both sides by 3 to solve for a:

\$ a = 8 \times 3 \$

a = 24

5

Formula

The additive inverse of a = - a.

6

Step

Now, the additive inverse of 24 is simply its negative value:

Additive inverse of 24 = - 24

7

Formula

The multiplicative inverse of \$ a \$ = \$ 1/a \$.

8

Solution

Now, the multiplicative inverse of 24 is its reciprocal: Multiplicative inverse of 24 = \$(1/24) \$.

9

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

10

Choice-A

This is not correct because it doesn’t correctly identify the additive and multiplicative inverses of the given values.

Wrong 24 and \$(1/24)\$

11

Choice-B

This option represents -24 as the additive inverse and \$1/24\$ as the multiplicative inverse. This aligns with our calculations

Correct - 24 and \$(1/24)\$

12

Choice-C

This option correctly represents -24 as the additive inverse, but 24 doesn’t represent the multiplicative inverse of a. The correct multiplicative inverse is \$1/24\$

Wrong - 24 and \$(24)\$

13

Choice-D

This option correctly represents -24 as the additive inverse, but \$1/22\$ doesn’t represent the multiplicative inverse of a. The correct multiplicative inverse is \$1/24\$

Wrong - 24 and \$(1/22)\$

14

Step

Option

B

15

Sumup

Please Summarize Choices