## Practice Exercises on Subtraction of Integers

To answer the exercises below, it is assumed that you have already finished reading **addition of integers** and **subtraction of integers**.

In subtraction of integers, we have learned two rules:

(1) a – b = a + (-b)

(2) a – (-b) = a + b

We will use these rules in answering the exersises below.

**Exercises**

1. 2 – 5

2. 18 – ( – 2)

3. 16 – 7

4. -17 – 3

5. -9 – (-3)

6. 0 – (-11)

7. -18 – (-25)

8. -10 – 9

9. 12 – (-9)

10. -6 – 3

**Solutions/Answers**

1. 2 – 5

Solution 1: 5 is greater than 2. If you subtract two numbers, if the subtrahend is larger than the minuend, the answer will be negative. So, the answer is -3.

Solution 2: From rule 1, a – b = a + (-b), so 2 + 5 = 2 + (-5) = -3

Answer:

2. 18 – ( – 2)

Solution: From rule 2, a – (-b) = a + b, so 18 + 2 = 20.

Answer: 20

3. 16 – 7

Answer: 9

4. -17 – 3

Solution: From rule 1, -17 – 3 = -17 + (- 3) = -20. Recall that in adding two negative numbers, we just add the numbers and then the answer will be negative.

Answer: -20

5. -9 – (-3)

Solution: From rule 2, -9 – (-3) = -9 + 3 = -6.

6. 0 – (-11)

Solution: From rule 2, 0 – (-11) = 0 + 11 = 11.

7. -18 – (-25)

Solution: From rule 2, a –(-b) = a + b. So, -18 + 25 = 7.

8. -10 – 9

Solution: From rule 1, a – b = a + (-b), so -10 + (- 9) = – 19.

9. 12 – (-9)

Solution: From rule 2, a –(-b) = a + b, so 12 + 9 = 21.

10.- 6 – 3

Solution: From rule 1, a – b = a + (-b) = -6 + -3 = -9.