Let's solve each of these integer addition and subtraction problems step by step. We'll use the rules for adding and subtracting integers:
Rules:
- Adding two positive numbers: Add them normally.
- Adding two negative numbers: Add their absolute values and keep the negative sign.
- Adding a positive and a negative number: Subtract the smaller absolute value from the larger, and use the sign of the number with the larger absolute value.
- Subtracting a negative number is the same as
adding its positive counterpart.
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Let’s go through each problem:
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1) $ 8 + (-23) - (-5) $
= $ 8 - 23 + 5 $
= $ -15 + 5 $
=
-10
---
2) $ (-43) + 13 - (-9) $
= $ -43 + 13 + 9 $
= $ -30 + 9 $
=
-21
---
3) $ (-47) + (-12) $
= $ -47 - 12 $
=
-59
---
4) $ (-15) + (-13) + (-25) $
= $ -15 -13 -25 $
= $ -53 $
---
5) $ (-35) + (-24) $
= $ -35 - 24 $
=
-59
---
6) $ 24 + (-10) - (-27) $
= $ 24 - 10 + 27 $
= $ 14 + 27 $
=
41
---
7) $ (-7) + (-15) - (-7) $
= $ -7 -15 + 7 $
= $ -22 + 7 $
=
-15
---
8) $ 21 + (-16) + (-22) $
= $ 21 - 16 - 22 $
= $ 5 - 22 $
=
-17
---
9) $ (-2) + 7 + (-30) $
= $ -2 + 7 - 30 $
= $ 5 - 30 $
=
-25
---
10) $ 33 + (-11) $
= $ 33 - 11 $
=
22
---
11) $ 7 + (-27) + (-26) $
= $ 7 - 27 - 26 $
= $ -20 - 26 $
=
-46
---
12) $ (-46) + (-23) $
= $ -46 - 23 $
=
-69
---
13) $ 39 + 18 + (-14) $
= $ 39 + 18 - 14 $
= $ 57 - 14 $
=
43
---
14) $ 10 + 6 + (-18) $
= $ 10 + 6 - 18 $
= $ 16 - 18 $
=
-2
---
15) $ 49 + 19 + (-14) $
= $ 49 + 19 - 14 $
= $ 68 - 14 $
=
54
---
16) $ (-1) + (-15) $
= $ -1 - 15 $
=
-16
---
17) $ 20 + 24 + (-28) $
= $ 20 + 24 - 28 $
= $ 44 - 28 $
=
16
---
18) $ (-33) + 24 - (-14) $
= $ -33 + 24 + 14 $
= $ -9 + 14 $
=
5
---
19) $ (-49) + (-6) + (-16) $
= $ -49 - 6 - 16 $
= $ -71 $
---
20) $ 39 + (-8) - (-12) $
= $ 39 - 8 + 12 $
= $ 31 + 12 $
=
43
---
21) $ 28 + (-27) - (-27) $
= $ 28 - 27 + 27 $
= $ 1 + 27 $
=
28
---
22) $ 18 + (-8) + (-13) $
= $ 18 - 8 - 13 $
= $ 10 - 13 $
=
-3
---
✔ Final Answers:
1)
-10
2)
-21
3)
-59
4)
-53
5)
-59
6)
41
7)
-15
8)
-17
9)
-25
10)
22
11)
-46
12)
-69
13)
43
14)
-2
15)
54
16)
-16
17)
16
18)
5
19)
-71
20)
43
21)
28
22)
-3
Let me know if you'd like this in a printable format or need explanations for any specific ones!
Parent Tip: Review the logic above to help your child master the concept of add and subtract integers worksheet.
![FREE Printable Adding And Subtracting Integers Worksheets [PDFs]](/images2/add-and-subtract-integers-worksheet/add-and-subtract-integers-worksheet-14.png)
