Math worksheet for practicing integer operations with 33 problems.
Worksheet titled "Operations with Integers" featuring 33 math problems involving addition, subtraction, multiplication, and division of positive and negative numbers.
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Step-by-step solution for: Integers Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Integers Worksheets - Math Monks
Here are the solutions to the integer operations problems. I have worked through each one carefully to ensure accuracy.
1. $6 + (-1)$
Adding a negative is like subtracting.
$6 - 1 = 5$
2. $6 \times (-2)$
Positive times negative equals negative.
$6 \times 2 = 12$, so the answer is $-12$.
3. $(-3) + (-2)$
Adding two negatives makes the number more negative.
$3 + 2 = 5$, so the answer is $-5$.
4. $(-25) \div (-5)$
Negative divided by negative equals positive.
$25 \div 5 = 5$.
5. $12 - (-63)$
Subtracting a negative is like adding.
$12 + 63 = 75$.
6. $(-25) + (-77)$
Add the numbers and keep the negative sign.
$25 + 77 = 102$, so the answer is $-102$.
7. $(-6) \div (-3)$
Negative divided by negative equals positive.
$6 \div 3 = 2$.
8. $8 \times 3$
Positive times positive equals positive.
$8 \times 3 = 24$.
9. $(-5) + (-1)$
Add the numbers and keep the negative sign.
$5 + 1 = 6$, so the answer is $-6$.
10. $(-7) - 9$
Start at $-7$ and go down 9 more.
$-7 - 9 = -16$.
11. $(-49) \div (-7)$
Negative divided by negative equals positive.
$49 \div 7 = 7$.
12. $24 \div (-3)$
Positive divided by negative equals negative.
$24 \div 3 = 8$, so the answer is $-8$.
13. $(-6) + 6$
A number plus its opposite equals zero.
Answer is $0$.
14. $(-9) \times (-5)$
Negative times negative equals positive.
$9 \times 5 = 45$.
15. $7 - (-5)$
Subtracting a negative is like adding.
$7 + 5 = 12$.
16. $(-4) \div (-2)$
Negative divided by negative equals positive.
$4 \div 2 = 2$.
17. $(-7) - (-7)$
Subtracting a negative is like adding.
$-7 + 7 = 0$.
18. $9 - (-2)$
Subtracting a negative is like adding.
$9 + 2 = 11$.
19. $7 - (-9)$
Subtracting a negative is like adding.
$7 + 9 = 16$.
20. $1 + (-6)$
This is the same as $1 - 6$. Since 6 is bigger than 1, the answer is negative.
$6 - 1 = 5$, so the answer is $-5$.
21. $12 \div (-2)$
Positive divided by negative equals negative.
$12 \div 2 = 6$, so the answer is $-6$.
22. $4 \div (-4)$
Positive divided by negative equals negative.
$4 \div 4 = 1$, so the answer is $-1$.
23. $4 - 4$
Any number minus itself is zero.
Answer is $0$.
24. $24 \div (-4)$
Positive divided by negative equals negative.
$24 \div 4 = 6$, so the answer is $-6$.
25. $(-15) \div (-3)$
Negative divided by negative equals positive.
$15 \div 3 = 5$.
26. $(-6) + (-9)$
Add the numbers and keep the negative sign.
$6 + 9 = 15$, so the answer is $-15$.
27. $(-32) \div 4$
Negative divided by positive equals negative.
$32 \div 4 = 8$, so the answer is $-8$.
28. $(-7) \times 7$
Negative times positive equals negative.
$7 \times 7 = 49$, so the answer is $-49$.
29. $8 \times (-7)$
Positive times negative equals negative.
$8 \times 7 = 56$, so the answer is $-56$.
30. $(-7) + (-9)$
Add the numbers and keep the negative sign.
$7 + 9 = 16$, so the answer is $-16$.
31. $(-11) - 8$
Start at $-11$ and go down 8 more.
$-11 - 8 = -19$.
32. $8 \div (-2)$
Positive divided by negative equals negative.
$8 \div 2 = 4$, so the answer is $-4$.
33. $21 - (-3)$
Subtracting a negative is like adding.
$21 + 3 = 24$.
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Final Answer:
1. 5
2. -12
3. -5
4. 5
5. 75
6. -102
7. 2
8. 24
9. -6
10. -16
11. 7
12. -8
13. 0
14. 45
15. 12
16. 2
17. 0
18. 11
19. 16
20. -5
21. -6
22. -1
23. 0
24. -6
25. 5
26. -15
27. -8
28. -49
29. -56
30. -16
31. -19
32. -4
33. 24
1. $6 + (-1)$
Adding a negative is like subtracting.
$6 - 1 = 5$
2. $6 \times (-2)$
Positive times negative equals negative.
$6 \times 2 = 12$, so the answer is $-12$.
3. $(-3) + (-2)$
Adding two negatives makes the number more negative.
$3 + 2 = 5$, so the answer is $-5$.
4. $(-25) \div (-5)$
Negative divided by negative equals positive.
$25 \div 5 = 5$.
5. $12 - (-63)$
Subtracting a negative is like adding.
$12 + 63 = 75$.
6. $(-25) + (-77)$
Add the numbers and keep the negative sign.
$25 + 77 = 102$, so the answer is $-102$.
7. $(-6) \div (-3)$
Negative divided by negative equals positive.
$6 \div 3 = 2$.
8. $8 \times 3$
Positive times positive equals positive.
$8 \times 3 = 24$.
9. $(-5) + (-1)$
Add the numbers and keep the negative sign.
$5 + 1 = 6$, so the answer is $-6$.
10. $(-7) - 9$
Start at $-7$ and go down 9 more.
$-7 - 9 = -16$.
11. $(-49) \div (-7)$
Negative divided by negative equals positive.
$49 \div 7 = 7$.
12. $24 \div (-3)$
Positive divided by negative equals negative.
$24 \div 3 = 8$, so the answer is $-8$.
13. $(-6) + 6$
A number plus its opposite equals zero.
Answer is $0$.
14. $(-9) \times (-5)$
Negative times negative equals positive.
$9 \times 5 = 45$.
15. $7 - (-5)$
Subtracting a negative is like adding.
$7 + 5 = 12$.
16. $(-4) \div (-2)$
Negative divided by negative equals positive.
$4 \div 2 = 2$.
17. $(-7) - (-7)$
Subtracting a negative is like adding.
$-7 + 7 = 0$.
18. $9 - (-2)$
Subtracting a negative is like adding.
$9 + 2 = 11$.
19. $7 - (-9)$
Subtracting a negative is like adding.
$7 + 9 = 16$.
20. $1 + (-6)$
This is the same as $1 - 6$. Since 6 is bigger than 1, the answer is negative.
$6 - 1 = 5$, so the answer is $-5$.
21. $12 \div (-2)$
Positive divided by negative equals negative.
$12 \div 2 = 6$, so the answer is $-6$.
22. $4 \div (-4)$
Positive divided by negative equals negative.
$4 \div 4 = 1$, so the answer is $-1$.
23. $4 - 4$
Any number minus itself is zero.
Answer is $0$.
24. $24 \div (-4)$
Positive divided by negative equals negative.
$24 \div 4 = 6$, so the answer is $-6$.
25. $(-15) \div (-3)$
Negative divided by negative equals positive.
$15 \div 3 = 5$.
26. $(-6) + (-9)$
Add the numbers and keep the negative sign.
$6 + 9 = 15$, so the answer is $-15$.
27. $(-32) \div 4$
Negative divided by positive equals negative.
$32 \div 4 = 8$, so the answer is $-8$.
28. $(-7) \times 7$
Negative times positive equals negative.
$7 \times 7 = 49$, so the answer is $-49$.
29. $8 \times (-7)$
Positive times negative equals negative.
$8 \times 7 = 56$, so the answer is $-56$.
30. $(-7) + (-9)$
Add the numbers and keep the negative sign.
$7 + 9 = 16$, so the answer is $-16$.
31. $(-11) - 8$
Start at $-11$ and go down 8 more.
$-11 - 8 = -19$.
32. $8 \div (-2)$
Positive divided by negative equals negative.
$8 \div 2 = 4$, so the answer is $-4$.
33. $21 - (-3)$
Subtracting a negative is like adding.
$21 + 3 = 24$.
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Final Answer:
1. 5
2. -12
3. -5
4. 5
5. 75
6. -102
7. 2
8. 24
9. -6
10. -16
11. 7
12. -8
13. 0
14. 45
15. 12
16. 2
17. 0
18. 11
19. 16
20. -5
21. -6
22. -1
23. 0
24. -6
25. 5
26. -15
27. -8
28. -49
29. -56
30. -16
31. -19
32. -4
33. 24
Parent Tip: Review the logic above to help your child master the concept of operations with integers worksheet pdf.