Printable Grade 5 worksheet featuring 20 problems focused on adding and subtracting integers to build arithmetic fluency.
Grade 5 math worksheet for adding and subtracting integers with 20 practice problems.
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Step-by-step solution for: FREE Printable Adding And Subtracting Integers Worksheets [PDFs]
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Show Answer Key & Explanations
Step-by-step solution for: FREE Printable Adding And Subtracting Integers Worksheets [PDFs]
Here are the step-by-step solutions for each problem on the worksheet.
1) -9 + 19 + 13 =
* First, add -9 and 19. Since they have different signs, subtract 9 from 19 to get 10. The sign is positive because 19 is larger. Result: 10.
* Next, add 10 + 13. Result: 23.
2) 12 + (-4) + (-15) =
* First, add 12 and -4. This is like 12 - 4. Result: 8.
* Next, add 8 + (-15). This is like 8 - 15. Since 15 is larger and negative, the answer is negative. 15 - 8 = 7. Result: -7.
3) 0 + 14 - (-8) =
* First, 0 + 14 is just 14.
* Next, subtracting a negative number is the same as adding. So, 14 - (-8) becomes 14 + 8. Result: 22.
4) -17 + (-3) + (-9) =
* First, add -17 and -3. Both are negative, so add the numbers and keep the negative sign: -(17 + 3) = -20.
* Next, add -20 + (-9). Again, both are negative: -(20 + 9) = -29.
5) 19 - 3 + 0 =
* First, 19 - 3 = 16.
* Next, 16 + 0 = 16.
6) 2 + 3 - (-9) =
* First, 2 + 3 = 5.
* Next, subtracting a negative is adding. So, 5 - (-9) becomes 5 + 9. Result: 14.
7) -19 + 8 + (-6) =
* First, add -19 and 8. Different signs, so subtract: 19 - 8 = 11. The sign is negative because 19 is larger. Result: -11.
* Next, add -11 + (-6). Same signs (negative), so add: 11 + 6 = 17. Keep the negative sign. Result: -17.
8) -10 - (-20) + (-4) =
* First, -10 - (-20) becomes -10 + 20. Different signs, subtract: 20 - 10 = 10. Positive because 20 is larger. Result: 10.
* Next, 10 + (-4) is like 10 - 4. Result: 6.
9) -13 + (-19) + (-10) =
* First, add -13 and -19. Same signs, add: 13 + 19 = 32. Keep negative. Result: -32.
* Next, -32 + (-10). Same signs, add: 32 + 10 = 42. Keep negative. Result: -42.
10) -16 + (-1) + (-7) =
* First, -16 + (-1) = -17.
* Next, -17 + (-7). Same signs, add: 17 + 7 = 24. Keep negative. Result: -24.
11) -1 - 5 + 20 =
* First, -1 - 5 = -6.
* Next, -6 + 20. Different signs, subtract: 20 - 6 = 14. Positive because 20 is larger. Result: 14.
12) 18 - (-2) + (-20) =
* First, 18 - (-2) becomes 18 + 2 = 20.
* Next, 20 + (-20). These are opposites, so they cancel out. Result: 0.
13) 14 - 14 + 14 =
* First, 14 - 14 = 0.
* Next, 0 + 14 = 14.
14) 13 + 5 - 7 =
* First, 13 + 5 = 18.
* Next, 18 - 7 = 11.
15) 14 - 19 + 2 =
* First, 14 - 19. Since 19 is larger and negative, the result is negative. 19 - 14 = 5. Result: -5.
* Next, -5 + 2. Different signs, subtract: 5 - 2 = 3. Negative because 5 is larger. Result: -3.
16) 2 - 19 - (-18) =
* First, 2 - 19. Since 19 is larger and negative, result is negative. 19 - 2 = 17. Result: -17.
* Next, -17 - (-18) becomes -17 + 18. Different signs, subtract: 18 - 17 = 1. Positive because 18 is larger. Result: 1.
17) -5 + (-12) - 6 =
* First, -5 + (-12) = -17.
* Next, -17 - 6. Think of this as adding two negatives: -17 + (-6). Add 17 + 6 = 23. Keep negative. Result: -23.
18) -7 + (-17) + (-5) =
* First, -7 + (-17) = -24.
* Next, -24 + (-5). Add 24 + 5 = 29. Keep negative. Result: -29.
19) -7 + (-4) - 9 =
* First, -7 + (-4) = -11.
* Next, -11 - 9. This is like -11 + (-9). Add 11 + 9 = 20. Keep negative. Result: -20.
20) -15 + 0 - (-18) =
* First, -15 + 0 = -15.
* Next, -15 - (-18) becomes -15 + 18. Different signs, subtract: 18 - 15 = 3. Positive because 18 is larger. Result: 3.
Final Answer:
1) 23
2) -7
3) 22
4) -29
5) 16
6) 14
7) -17
8) 6
9) -42
10) -24
11) 14
12) 0
13) 14
14) 11
15) -3
16) 1
17) -23
18) -29
19) -20
20) 3
1) -9 + 19 + 13 =
* First, add -9 and 19. Since they have different signs, subtract 9 from 19 to get 10. The sign is positive because 19 is larger. Result: 10.
* Next, add 10 + 13. Result: 23.
2) 12 + (-4) + (-15) =
* First, add 12 and -4. This is like 12 - 4. Result: 8.
* Next, add 8 + (-15). This is like 8 - 15. Since 15 is larger and negative, the answer is negative. 15 - 8 = 7. Result: -7.
3) 0 + 14 - (-8) =
* First, 0 + 14 is just 14.
* Next, subtracting a negative number is the same as adding. So, 14 - (-8) becomes 14 + 8. Result: 22.
4) -17 + (-3) + (-9) =
* First, add -17 and -3. Both are negative, so add the numbers and keep the negative sign: -(17 + 3) = -20.
* Next, add -20 + (-9). Again, both are negative: -(20 + 9) = -29.
5) 19 - 3 + 0 =
* First, 19 - 3 = 16.
* Next, 16 + 0 = 16.
6) 2 + 3 - (-9) =
* First, 2 + 3 = 5.
* Next, subtracting a negative is adding. So, 5 - (-9) becomes 5 + 9. Result: 14.
7) -19 + 8 + (-6) =
* First, add -19 and 8. Different signs, so subtract: 19 - 8 = 11. The sign is negative because 19 is larger. Result: -11.
* Next, add -11 + (-6). Same signs (negative), so add: 11 + 6 = 17. Keep the negative sign. Result: -17.
8) -10 - (-20) + (-4) =
* First, -10 - (-20) becomes -10 + 20. Different signs, subtract: 20 - 10 = 10. Positive because 20 is larger. Result: 10.
* Next, 10 + (-4) is like 10 - 4. Result: 6.
9) -13 + (-19) + (-10) =
* First, add -13 and -19. Same signs, add: 13 + 19 = 32. Keep negative. Result: -32.
* Next, -32 + (-10). Same signs, add: 32 + 10 = 42. Keep negative. Result: -42.
10) -16 + (-1) + (-7) =
* First, -16 + (-1) = -17.
* Next, -17 + (-7). Same signs, add: 17 + 7 = 24. Keep negative. Result: -24.
11) -1 - 5 + 20 =
* First, -1 - 5 = -6.
* Next, -6 + 20. Different signs, subtract: 20 - 6 = 14. Positive because 20 is larger. Result: 14.
12) 18 - (-2) + (-20) =
* First, 18 - (-2) becomes 18 + 2 = 20.
* Next, 20 + (-20). These are opposites, so they cancel out. Result: 0.
13) 14 - 14 + 14 =
* First, 14 - 14 = 0.
* Next, 0 + 14 = 14.
14) 13 + 5 - 7 =
* First, 13 + 5 = 18.
* Next, 18 - 7 = 11.
15) 14 - 19 + 2 =
* First, 14 - 19. Since 19 is larger and negative, the result is negative. 19 - 14 = 5. Result: -5.
* Next, -5 + 2. Different signs, subtract: 5 - 2 = 3. Negative because 5 is larger. Result: -3.
16) 2 - 19 - (-18) =
* First, 2 - 19. Since 19 is larger and negative, result is negative. 19 - 2 = 17. Result: -17.
* Next, -17 - (-18) becomes -17 + 18. Different signs, subtract: 18 - 17 = 1. Positive because 18 is larger. Result: 1.
17) -5 + (-12) - 6 =
* First, -5 + (-12) = -17.
* Next, -17 - 6. Think of this as adding two negatives: -17 + (-6). Add 17 + 6 = 23. Keep negative. Result: -23.
18) -7 + (-17) + (-5) =
* First, -7 + (-17) = -24.
* Next, -24 + (-5). Add 24 + 5 = 29. Keep negative. Result: -29.
19) -7 + (-4) - 9 =
* First, -7 + (-4) = -11.
* Next, -11 - 9. This is like -11 + (-9). Add 11 + 9 = 20. Keep negative. Result: -20.
20) -15 + 0 - (-18) =
* First, -15 + 0 = -15.
* Next, -15 - (-18) becomes -15 + 18. Different signs, subtract: 18 - 15 = 3. Positive because 18 is larger. Result: 3.
Final Answer:
1) 23
2) -7
3) 22
4) -29
5) 16
6) 14
7) -17
8) 6
9) -42
10) -24
11) 14
12) 0
13) 14
14) 11
15) -3
16) 1
17) -23
18) -29
19) -20
20) 3
Parent Tip: Review the logic above to help your child master the concept of integer addition and subtraction worksheet.
