Inverse Operations is a maths skill that is commonly tested in 11 plus exams and UK selective tests.

## Examples

### Inverse operations in sums

Inverse operations are the opposites: Addition and subtraction are opposites & multiplication and division are opposites.

### Example Question 1:

4579 + ___ = 4596

**Answer: **The missing value is 17.

**Explanation: **To find the answer do the inverse operation, which is to subtract, so 4596 – 4579= 17.

### Example Question 2:

___ – 348 = 45

**Answer: **The missing value is 393.

**Explanation: **To find the answer do the inverse operation, which is to add, so 348 + 45 = 393.

### Example Question 3:

___ x 23 = 207

**Answer: **The missing value is 9.

**Explanation: **To find the answer do the inverse operation, which is to divide, so 207 divided by 23 = 9.

### Example Question 4:

___ ÷ 3 = 103

**Answer: **The missing value is 309.

**Explanation: **To find the answer do the inverse operation, which is to multiply, so 103 x 3 = 309.

### Inverse operations in algebra

To calculate the value of a letter in equations you will need to do an inverse operation on the number, letter or both.

### Example Question 5:

Find the value of x if 3x + 3 = 18.

**Answer:** x = 5

**Explanation:** Move the 3 to the other side of the equation and the +3 becomes -3. 3x = 18 – 3 which is 15, 3x = 15, so x = 5

### Example Question 6:

Find the value of a if 3a + 7 = 21 + a

**Answer:** a = 7

**Explanation:** Move the +7 to the right of the equation to join with the 21. The +7 becomes -7. Also move the +a to the left of the equation to join with the 3a. The +a becomes -a so 3a – a = 21 – 7. Do the sums on each side 2a = 14, so a = 7.

## Video Tutorials

### Inverse of Multiplication

### Inverse of Addition