Of course! Let's solve each of these integer addition and subtraction problems step by step. The key rules to remember are:
- Adding a negative number is the same as subtracting its positive counterpart: `a + (-b) = a - b`
- Subtracting a negative number is the same as adding its positive counterpart: `a - (-b) = a + b`
- When adding two negative numbers, add their absolute values and keep the negative sign: `(-a) + (-b) = -(a + b)`
- When adding a positive and a negative number, subtract the smaller absolute value from the larger one and keep the sign of the number with the larger absolute value.
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1) 8 + (–23) – (–5)
= 8 – 23 + 5
= (8 + 5) – 23
= 13 – 23
=
–10
---
2) (–43) + 13 – (–9)
= –43 + 13 + 9
= (–43) + (13 + 9)
= –43 + 22
=
–21
---
3) (–47) + (–12)
= –(47 + 12)
=
–59
---
4) (–15) + (–13) + (–25)
= –(15 + 13 + 25)
= –(53)
=
–53
---
5) (–35) + (–24)
= –(35 + 24)
=
–59
---
6) 24 + (–10) – (–27)
= 24 – 10 + 27
= (24 + 27) – 10
= 51 – 10
=
41
---
7) (–7) + (–15) – (–7)
= –7 – 15 + 7
= (–7 + 7) – 15
= 0 – 15
=
–15
---
8) 21 + (–16) + (–22)
= 21 – 16 – 22
= (21 – 16) – 22
= 5 – 22
=
–17
---
9) (–2) + 7 + (–30)
= –2 + 7 – 30
= (–2 – 30) + 7
= –32 + 7
=
–25
---
10) 33 + (–11)
= 33 – 11
=
22
---
11) 7 + (–27) + (–26)
= 7 – 27 – 26
= (7 – 27) – 26
= –20 – 26
=
–46
---
12) (–46) + (–23)
= –(46 + 23)
=
–69
---
13) 39 + 18 + (–14)
= 39 + 18 – 14
= (39 – 14) + 18
= 25 + 18
=
43
---
14) 10 + 6 + (–18)
= 10 + 6 – 18
= 16 – 18
=
–2
---
15) 49 + 19 + (–14)
= 49 + 19 – 14
= (49 – 14) + 19
= 35 + 19
=
54
---
16) (–1) + (–15)
= –(1 + 15)
=
–16
---
17) 20 + 24 + (–28)
= 20 + 24 – 28
= (20 – 28) + 24
= –8 + 24
=
16
---
18) (–33) + 24 – (–14)
= –33 + 24 + 14
= (–33) + (24 + 14)
= –33 + 38
=
5
---
19) (–49) + (–6) + (–16)
= –(49 + 6 + 16)
= –(71)
=
–71
---
20) 39 + (–8) – (–12)
= 39 – 8 + 12
= (39 + 12) – 8
= 51 – 8
=
43
---
21) 28 + (–27) – (–27)
= 28 – 27 + 27
= 28 + (–27 + 27)
= 28 + 0
=
28
---
22) 18 + (–8) + (–13)
= 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 a worksheet or printable version!
Parent Tip: Review the logic above to help your child master the concept of worksheet on adding and subtracting integers.
