## Subtraction of Integers Exercises Set 1 Answers

Below are the answers to Subtraction of Integers Exercises (Set 1).

Part I

1.) 8 – (-7) = 8 + (7) = 15

2.) -4 – (-10) = -4 + (10) = 6

3. -6 – 8 = -6 + (-8) = -14

4. 0 – (-5) = 0 + (5) = 5

5. -17 – (-13) = -17 + (13) = -4

6. 0 – 18 = 0 + (-18) =-18

7. 12 – 19 = 12 + (-19) = -7

8. -11 – 18 = -11 + (-18) = -29

9. 21 – (-22) = 21 + (22) = 43

10. -14 – (-14) = -14 + (14) = 0

Part II

1. 31 – (-14) = 31 + (14) = 45

2. -17 – (-11) = -17 + (11) =-6

3. -19 – 12 = -19 + (-12) = -31

4. 0 – (-17) = 0 + (17) = 17

5. -34 – (-21) = -34 + (21) = -13

6. 0 + (-47) = -47

7. 36 – 42 = 36 + (-42) = -6

8. -25 – 35 = -25 + (-35) = -60

9. 28 – (-30) = 28 + (30) = 58

10. -45 – (-45) = -45 + (45) = 0

Part III

1. $\frac {1}{7} - (-\frac {3}{7}) = \frac {1}{7} + (\frac {3}{7}) = \frac {4}{7}$

2. $-\frac {3}{5} - (-\frac {4}{5}) = -\frac {3}{5} + (\frac {4}{5})= \frac {1}{5}$

3. $-\frac {3}{4} - \frac {1}{4} = -\frac {3}{4} +(-\frac {1}{4}) = -\frac {4}{4} = -1$

4. $\frac {7}{11} - \frac {9}{11} = \frac {7}{11} + (-\frac {9}{11}) = -\frac {2}{11}$

5. $-\frac {5}{12} - (-\frac {5}{12}) = -\frac {5}{12} + (\frac {5}{12}) = 0$

6. 0.4 – (-0.3) = 0.4 + (0.3) = 0.7

7. -0.8 – (-0.7) = -0.8 + (0.7) = -0.1

8. -1.2 – 0.4 = -1.2 + (-0.4) = -1.6

9. 0.3 – 0.9 = 0.3 + (-0.9) = -0.6

10. -0.6 – (-0.6) = -0.6 + (0.6) = 0

1. 6
2. -17
3. -13
4. -4
5. 0
6. -25
7. 23
8. -26
9. 0
10. 34

Part II
1. 10
2. -6
3. 8
4. 0
5. -9
6. -3
7. -6
8. 11
9. 0
10. 11

Part III
1. -2/2 or -1
2. -1/4
3. 0
4. 1/4
5. -7/11
6. 0.4
7. 3.6
8. -1.5
9. 1.5
10. -1.45

You might also want to answer the exercises on subtraction of integers.

## Subtraction of Integers Exercises – Set 1

Below are exercises on subtraction of signed numbers. Part I and II are exercises for subtraction of integers, while part III is an extension to fractions and decimals. Solutions and answers can be found here.

Part I

1. 8 – (-7)

2. -4 – (-10)

3. -6 – 8

4. 0 – (-5)

5. -17 – (-13)

6. 0 – 18

7. 12 – 19

8. -11 – 18

9. 21 – (-22)

10. -14 -(-14)

Part II

1. 31 – (-14)

2. -17 – (-11)

3. -19 – 12

4. 0 – (-17)

5. -34 – (-21)

6. 0 – 47

7. 36 – 42

8. -25 – 35

9. 28 – (-30)

10. -45 – (-45)

Part III

1. $\frac {1}{7} - ( -\frac {3}{7})$

2. $- \frac {3}{5} - (- \frac {4}{5})$

3. $-\frac {3}{4} - \frac {1}{4}$

4. $\frac {7}{11} - \frac {9}{11}$

5. $- \frac {5}{12} - (- \frac {5}{12})$

6. 0.4 – (-0.3)

7. -0.8 – (-0.7)

8. -1.2 – 0.4

9. 0.3 – 0.9

10. -0.6 – (-0.6)

You might also want to practice multiplication of integers.

## Week 5 Review: Practice Exercises and Problems

In the previous post, we learned about operations on integers, order of operations, and PEMDAS rules. Below are the exercises and problems about these topics.

PCSR WEEK 5 Review: Operations on Integers

Practice Exercises 1

a.) 12 + (-4)
b.) (-9) + 3
c.) (-7) + (- 5)
d.) 8 + 3 + (-11)
e.) 6 + (-10) + (-2)

Practice Exercises 2

a.) 3 – 5
b.) -9 – 4
c.) (-7) – (- 8)
d.) – 2 – 6
e.) 1 – (-10)

Practice Exercises 3

a.) 4 × (- 5)
b.) (-2) × (- 4)
c.) (6) × (- 3)
d.) 8 × 2 × (-1)
e.) (-3) × (2) × (-7)

Practice Exercises 4
a.)-20 ÷ 4
b.) 18 ÷ (- 6)
c.) (-16) ÷ (- 2)
d.) 0 ÷ 8
e.) 9 ÷ 3

Practice Problems

1.) 2 + 3 × 5
2.) (2 + 3) × 5
3.) 3 x (-3) + 4 ×(-2)
4.) $3(5^2 - 8)$
5.) $2(5 - 8)^2$
6.) 16 + (-4) + 12 + (-8 × 3)
7.) $(3^2 + 2^2)^2$
8.) 6 + 3 × 2 – 5
9.) 8 – 12(3 – 4) + (-5 × 2)
10.) 7 + 3 × (-5) – 9 / 3

## PCSR REVIEW SERIES WEEK 5: Operations on Integers and PEMDAS

Below are the articles and videos that you should read and watch about operations on integers, order of operations, and PEMDAS. Exercises and problems will be posted soon.

PART 1: OPERATIONS ON INTEGERS

Articles

Videos

PART 2: PEMDAS

Articles

Videos

More video

Introduction to PEMDAS

## Practice Exercises on 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

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

2. 18 – ( – 2)

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

3. 16 – 7

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.

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.

## The Operations on Integers Series

In the previous post, I have mentioned that it is important for you to master basic mathematics. One of the basic skills that you should master is operations on integers. Luckily, I have finished writing all the tutorials and reviewers for all the operations on integers.  They are listed below.

Good luck and have fun. I will be posting the quizzes and PDF exercises soon, so keep posted.

## Subtraction of Integers Quiz 1

Welcome to the first quiz on Subtraction of Integers. If you have forgotten how to subtract integers, please read How to Subtract Integers. You can also answer the Practice Exercise first (with full solutions) before answering the quiz below. Note that in some mobile devices, the answers maybe shown, so it is better to answer this quiz using a PC.

Instruction: Perform the subtraction. To check if your answer is correct, click the + button. You may want check your answers and share with us your score. 🙂

Subtraction of Integers Quiz 1

1. What is $13 - 8$?

2. What is $7 - 20$?