Division of Integers Exercises Set 1 Answers

Below are the answers to Division of Integers Exercises (Set 1).
Part I

1. -4

2. -4

3. 7

4. -5

5. 0

6. 18

7. -5

8. -2

9. 2

10. 6

Part II

1. -2

2. -5

3. 7

4. -7

5. 0

6. 6

7. -9

8. -5

9. 1

10. -9

Part III

1. \frac {1}{2} \div (-\frac {1}{4}) =  \frac {1}{2} \times (-\frac {4}{1}) = \frac {4}{2} = -2

2. -\frac {2}{5} \div (-\frac {3}{4}) =  -\frac {2}{5} \times (-\frac {4}{3}) =  \frac {8}{15}

3. -\frac {3}{4} \div \frac {3}{8} =  -\frac {3}{4} \times \frac {8}{3} = (-\frac {24}{12}) =  -2

4. \frac {4}{5} \div (-\frac {1}{5}) = \frac {4}{5} \times (-\frac {5}{1}) = -\frac {20}{5} = -4

5. -\frac {5}{7} \div \frac {1}{2} = -\frac {5}{7} \times \frac {2}{1} = -\frac {10}{7} = -1 \frac {3}{7}

6. -2

7. 3

8. -5

9. -4

10. 0

Now, that you have compelted the four fundamental operations, you might want to learn about the PEMDAS Rules and answer PEMDAS exercises.

Multiplication of Integers Exercises Set 1 Answers

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

Part I

1. -6

2. 28

3. -27

4. 49

5. -33

6. -48

7. 18

8. 0

9. -15

10. 39

Part II

1. -24

2. -32

3. 36

4. 60

5. 0

6. 12

7. -120

8. -21

9. -88

10. 42

Part III

1. -\frac {1}{6}

2. \frac {1}{8}.

3. -\frac {1}{8}

4. \frac {1}{14}

5. -\frac {4}{11}

6. -1.5

7. -0.08

8. 0.3

9. 0.24

10. 0

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

Addition of Integers Exercises Set 1 Answers

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

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.

Solving Equations Exercises – Set 1A

Below are exercises on solving equations.

Part I

1. x + 2 = 10

2. x - 7 = -14

3. 4x = 20

4. -3x = 18

5. \frac {x}{4} = 20

6. \frac {x}{9} = -10

7. 2x + 1 = 15

8. 4x - 7 = 13

9. -6x + 2 = -14

10. 3x - 1 = 8

Part II

1. 9 - x = 17

2. 4x - 7 = -15

3. 7x + 36 = 4x

4. -2x - 11 = -x

5. 7x = 5x - 6

6. 2x - 5 = x + 4

7. 9x + 6 = 7x - 8

8. 9 - x = 2 + 6x

9. \frac {x}{2} = x + 7

10. -\frac {1}{4}x = 3x - 12

Part III

1. 2(x - 5) = -8

2. 6(2x - 1) = -8 + x

3. 3(4 - 3x) = 3x

4. 5(x- 7) - 2 = x - 1

5. 4(x - 1) = 3(x + 1)

6. 7(4 - 2x) = x - 2

7. 4 - 6(x - 7) = -x - 4

8. -\frac {x}{4} = x + 10

9. 3x + \frac {1}{2} = 12

10. \frac {3x}{5} = 4x - 8

PEMDAS Exercises – Set 1

Below are exercises on division of signed numbers

Part I

1. 5 + 3 - 2

2. 9 - 6 + 4

3. 7 + 4 \times 3

4. 6 \times (-2) + 3

5. 2 \times (-9 + 4)

6. 60 \div (-6 + 2)

7. (-3 - 11) \times (-7)

8. 12 \div 3 \times 5

9. 4 \times (-1 - 6)

10. -5 + (13 - 7) \div 3

Part II

1. 4 \times (-3 - 5)

2. -2 \times (3 + 6)

3. (9 - 13) \div (-1)

4. (4 + 6)^2 - 7

5. (-4)^2 \times (-2)^3

6. -3 - 7 \times 2

7. 3 - (-2) + 8

8. –12 - 8 \div 4

9. 9 - (-4) \times (-4)

10. 10 \div (-2) - (-3 \times 4)

Part III

1. 3 - (-2) \times 5

2. -4 \times 3 + 6 \times 2

3. 16 \div (-2) + 12 \div 4

4. 36 \div (-13 + 4)

5. 18 \div (-3)^2 + (-4)

6. 4 \times (-2) + (-3^2)

7. 3 \times [-4 - (12 - 5)]

8. (-3)^2 + 2^3 \div (-4)

9. 9 - (-4^2) \times (-2)

10. -2 \times (-3 \times 2)^2 - (-2)^2

The solution can be found here.

Division of Integers Exercises – Set 1

Below are exercises on division of signed numbers. Part I and II are exercises for divison of integers, while part III is an extension to fractions and decimals.

Part I

1.  12 \div (-3)

2. -16 \div 4

3.  -14 \div (-2)

4. 15 \div (-3)

5. 0 \div (-5)

6. -18 \div (-1)

7. -25 \div 5

8. 6 \div (-3)

9. -8 \div (-4)

10. 12 \div 2

Part II

1.  -34 \div 17

2.  45 \div -9

3. -56 \div (-8)

4. -63 \div 9

5. 0 \div (-100)

6. -54 \div (-9)

7. 72 \div (-8)

8. -50 \div 10

9. -17 \div (-17)

10. 36 \div (-4)

Part III

1. \frac {1}{2} \div (- \frac {1}{4})

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

3. -\frac {3}{4} \div \frac {3}{8}

4. \frac {4}{5} \div (-\frac {1}{5})

5. -\frac {5}{7} \div \frac {1}{2}

6. 0.4 \div (-0.2)

7. -0.9 \div (-0.3)

8. -4.5 \div 0.9

9. -0.8 \div 0.2

10. 0 \div 0.7

Multiplication of Integers Exercises – Set 1

Below are exercises on multiplication of signed numbers. Part I and II are exercises for multiplication of integers, while part III is an extension to fractions and decimals. I have written the exercises using the \times notation as well as the parenthesis to familiarize you with both notations.

Solutions and answers can be found here.

Part I

1. 2 \times (-3)

2. -4 \times -7

3. -9 \times 3

4. 7 \times 7

5. -11 \times 3

6. (12)(-4)

7. (-6)(-3)

8. (9)(0)

9. (-5)(3)

10. (13)(3)

Part II

1. 2 \times 3 \times (-4)

2. -4 \times 8 \times 1

3. -4 \times (-3) \times 3

4. -6 \times 2 \times (-5)

5. -12 \times 13 \times 0

6. (-6)(-1)(2)

7. (-5)(8)(3)

8. (-7)(-1)(-3)

9. (11)(8)(-1)

10. (-2)(-1)(7)(3)

Part III

1. \frac {1}{2} \times (-\frac {1}{3})

2. -\frac {1}{5} \times (-\frac {5}{8})

3. -\frac {3}{4} \times \frac {1}{6}

4. \frac {2}{7} \times \frac {1}{4}

5. -\frac {6}{11} \times \frac {2}{3}

6. 0.5 \times (-3)

7. -0.2 \times (0.4)

8. -3 \times (-0.1)

9. -0.6 \times (-0.4)

10. -0.7 \times 0

You might also want to practice division of integers.

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