Operations with Integers (A) Worksheet for 6th - 7th Grade ... - Free Printable
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Step-by-step solution for: Operations with Integers (A) Worksheet for 6th - 7th Grade ...
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Show Answer Key & Explanations
Step-by-step solution for: Operations with Integers (A) Worksheet for 6th - 7th Grade ...
The image you provided is a worksheet titled "Operations With Integers (A)" from Math-Drills.com. It contains a series of integer arithmetic problems involving addition, subtraction, multiplication, and division. Below, I will solve each problem step by step and explain the solution.
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#### 1. Addition
1. (+518) + (+76) = (+622)
- Adding two positive integers: \( 518 + 76 = 594 \)
- Correct answer: \( +594 \)
2. (-10) + (-53) = (-63)
- Adding two negative integers: \( -10 + (-53) = -63 \)
- Correct answer: \( -63 \)
3. (+96) + (+99) = (+195)
- Adding two positive integers: \( 96 + 99 = 195 \)
- Correct answer: \( +195 \)
4. (+55) + (-42) = (+13)
- Adding a positive integer and a negative integer: \( 55 + (-42) = 55 - 42 = 13 \)
- Correct answer: \( +13 \)
5. (-89) + (+43) = (-46)
- Adding a negative integer and a positive integer: \( -89 + 43 = -46 \)
- Correct answer: \( -46 \)
6. (-55) + (-45) = (-100)
- Adding two negative integers: \( -55 + (-45) = -100 \)
- Correct answer: \( -100 \)
7. (+40) + (-44) = (-4)
- Adding a positive integer and a negative integer: \( 40 + (-44) = 40 - 44 = -4 \)
- Correct answer: \( -4 \)
8. (-64) + (-27) = (-91)
- Adding two negative integers: \( -64 + (-27) = -91 \)
- Correct answer: \( -91 \)
9. (+48) + (-95) = (-47)
- Adding a positive integer and a negative integer: \( 48 + (-95) = 48 - 95 = -47 \)
- Correct answer: \( -47 \)
10. (+9) + (+50) = (+59)
- Adding two positive integers: \( 9 + 50 = 59 \)
- Correct answer: \( +59 \)
11. (-70) + (+7) = (-63)
- Adding a negative integer and a positive integer: \( -70 + 7 = -63 \)
- Correct answer: \( -63 \)
12. (-57) + (-7) = (-64)
- Adding two negative integers: \( -57 + (-7) = -64 \)
- Correct answer: \( -64 \)
13. (+87) + (+96) = (+183)
- Adding two positive integers: \( 87 + 96 = 183 \)
- Correct answer: \( +183 \)
14. (-13) + (-2) = (-15)
- Adding two negative integers: \( -13 + (-2) = -15 \)
- Correct answer: \( -15 \)
15. (+6) + (+11) = (+17)
- Adding two positive integers: \( 6 + 11 = 17 \)
- Correct answer: \( +17 \)
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#### 2. Subtraction
16. (+6622) - (+66) = (+6556)
- Subtracting two positive integers: \( 6622 - 66 = 6556 \)
- Correct answer: \( +6556 \)
17. (-84) - (+50) = (-134)
- Subtracting a positive integer from a negative integer: \( -84 - 50 = -134 \)
- Correct answer: \( -134 \)
18. (+2107) - (-43) = (+2150)
- Subtracting a negative integer is equivalent to adding its positive counterpart: \( 2107 - (-43) = 2107 + 43 = 2150 \)
- Correct answer: \( +2150 \)
19. (-60) - (+60) = (-120)
- Subtracting a positive integer from a negative integer: \( -60 - 60 = -120 \)
- Correct answer: \( -120 \)
20. (-3630) - (+90) = (-3720)
- Subtracting a positive integer from a negative integer: \( -3630 - 90 = -3720 \)
- Correct answer: \( -3720 \)
21. (+68) - (+45) = (+23)
- Subtracting two positive integers: \( 68 - 45 = 23 \)
- Correct answer: \( +23 \)
22. (+3584) - (-44) = (+3628)
- Subtracting a negative integer is equivalent to adding its positive counterpart: \( 3584 - (-44) = 3584 + 44 = 3628 \)
- Correct answer: \( +3628 \)
23. (-40) - (-95) = (+55)
- Subtracting a negative integer is equivalent to adding its positive counterpart: \( -40 - (-95) = -40 + 95 = 55 \)
- Correct answer: \( +55 \)
24. (+60) - (+57) = (+3)
- Subtracting two positive integers: \( 60 - 57 = 3 \)
- Correct answer: \( +3 \)
25. (+7650) - (-92) = (+7742)
- Subtracting a negative integer is equivalent to adding its positive counterpart: \( 7650 - (-92) = 7650 + 92 = 7742 \)
- Correct answer: \( +7742 \)
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The solutions to all the problems are as follows:
1. \( +594 \)
2. \( -63 \)
3. \( +195 \)
4. \( +13 \)
5. \( -46 \)
6. \( -100 \)
7. \( -4 \)
8. \( -91 \)
9. \( -47 \)
10. \( +59 \)
11. \( -63 \)
12. \( -64 \)
13. \( +183 \)
14. \( -15 \)
15. \( +17 \)
16. \( +6556 \)
17. \( -134 \)
18. \( +2150 \)
19. \( -120 \)
20. \( -3720 \)
21. \( +23 \)
22. \( +3628 \)
23. \( +55 \)
24. \( +3 \)
25. \( +7742 \)
\[
\boxed{+594, -63, +195, +13, -46, -100, -4, -91, -47, +59, -63, -64, +183, -15, +17, +6556, -134, +2150, -120, -3720, +23, +3628, +55, +3, +7742}
\]
---
Worksheet Problems and Solutions
#### 1. Addition
1. (+518) + (+76) = (+622)
- Adding two positive integers: \( 518 + 76 = 594 \)
- Correct answer: \( +594 \)
2. (-10) + (-53) = (-63)
- Adding two negative integers: \( -10 + (-53) = -63 \)
- Correct answer: \( -63 \)
3. (+96) + (+99) = (+195)
- Adding two positive integers: \( 96 + 99 = 195 \)
- Correct answer: \( +195 \)
4. (+55) + (-42) = (+13)
- Adding a positive integer and a negative integer: \( 55 + (-42) = 55 - 42 = 13 \)
- Correct answer: \( +13 \)
5. (-89) + (+43) = (-46)
- Adding a negative integer and a positive integer: \( -89 + 43 = -46 \)
- Correct answer: \( -46 \)
6. (-55) + (-45) = (-100)
- Adding two negative integers: \( -55 + (-45) = -100 \)
- Correct answer: \( -100 \)
7. (+40) + (-44) = (-4)
- Adding a positive integer and a negative integer: \( 40 + (-44) = 40 - 44 = -4 \)
- Correct answer: \( -4 \)
8. (-64) + (-27) = (-91)
- Adding two negative integers: \( -64 + (-27) = -91 \)
- Correct answer: \( -91 \)
9. (+48) + (-95) = (-47)
- Adding a positive integer and a negative integer: \( 48 + (-95) = 48 - 95 = -47 \)
- Correct answer: \( -47 \)
10. (+9) + (+50) = (+59)
- Adding two positive integers: \( 9 + 50 = 59 \)
- Correct answer: \( +59 \)
11. (-70) + (+7) = (-63)
- Adding a negative integer and a positive integer: \( -70 + 7 = -63 \)
- Correct answer: \( -63 \)
12. (-57) + (-7) = (-64)
- Adding two negative integers: \( -57 + (-7) = -64 \)
- Correct answer: \( -64 \)
13. (+87) + (+96) = (+183)
- Adding two positive integers: \( 87 + 96 = 183 \)
- Correct answer: \( +183 \)
14. (-13) + (-2) = (-15)
- Adding two negative integers: \( -13 + (-2) = -15 \)
- Correct answer: \( -15 \)
15. (+6) + (+11) = (+17)
- Adding two positive integers: \( 6 + 11 = 17 \)
- Correct answer: \( +17 \)
---
#### 2. Subtraction
16. (+6622) - (+66) = (+6556)
- Subtracting two positive integers: \( 6622 - 66 = 6556 \)
- Correct answer: \( +6556 \)
17. (-84) - (+50) = (-134)
- Subtracting a positive integer from a negative integer: \( -84 - 50 = -134 \)
- Correct answer: \( -134 \)
18. (+2107) - (-43) = (+2150)
- Subtracting a negative integer is equivalent to adding its positive counterpart: \( 2107 - (-43) = 2107 + 43 = 2150 \)
- Correct answer: \( +2150 \)
19. (-60) - (+60) = (-120)
- Subtracting a positive integer from a negative integer: \( -60 - 60 = -120 \)
- Correct answer: \( -120 \)
20. (-3630) - (+90) = (-3720)
- Subtracting a positive integer from a negative integer: \( -3630 - 90 = -3720 \)
- Correct answer: \( -3720 \)
21. (+68) - (+45) = (+23)
- Subtracting two positive integers: \( 68 - 45 = 23 \)
- Correct answer: \( +23 \)
22. (+3584) - (-44) = (+3628)
- Subtracting a negative integer is equivalent to adding its positive counterpart: \( 3584 - (-44) = 3584 + 44 = 3628 \)
- Correct answer: \( +3628 \)
23. (-40) - (-95) = (+55)
- Subtracting a negative integer is equivalent to adding its positive counterpart: \( -40 - (-95) = -40 + 95 = 55 \)
- Correct answer: \( +55 \)
24. (+60) - (+57) = (+3)
- Subtracting two positive integers: \( 60 - 57 = 3 \)
- Correct answer: \( +3 \)
25. (+7650) - (-92) = (+7742)
- Subtracting a negative integer is equivalent to adding its positive counterpart: \( 7650 - (-92) = 7650 + 92 = 7742 \)
- Correct answer: \( +7742 \)
---
Final Answer
The solutions to all the problems are as follows:
1. \( +594 \)
2. \( -63 \)
3. \( +195 \)
4. \( +13 \)
5. \( -46 \)
6. \( -100 \)
7. \( -4 \)
8. \( -91 \)
9. \( -47 \)
10. \( +59 \)
11. \( -63 \)
12. \( -64 \)
13. \( +183 \)
14. \( -15 \)
15. \( +17 \)
16. \( +6556 \)
17. \( -134 \)
18. \( +2150 \)
19. \( -120 \)
20. \( -3720 \)
21. \( +23 \)
22. \( +3628 \)
23. \( +55 \)
24. \( +3 \)
25. \( +7742 \)
\[
\boxed{+594, -63, +195, +13, -46, -100, -4, -91, -47, +59, -63, -64, +183, -15, +17, +6556, -134, +2150, -120, -3720, +23, +3628, +55, +3, +7742}
\]
Parent Tip: Review the logic above to help your child master the concept of all integers worksheet 7th grade.
