Let's solve each problem step by step, following the
order of operations, especially focusing on
parentheses first.
---
1) $ 10 + 31 + 40 - (31 + 6 - 9) $
- First, solve inside parentheses:
$$
31 + 6 - 9 = 37 - 9 = 28
$$
- Now substitute:
$$
10 + 31 + 40 - 28 = 81 - 28 = 53
$$
✔ Answer: 53
---
2) $ 25 + 11 + 4 + 30 - (19 + 27) $
- Solve inside parentheses:
$$
19 + 27 = 46
$$
- Now:
$$
25 + 11 + 4 + 30 = 70
$$
$$
70 - 46 = 24
$$
✔ Answer: 24
---
3) $ 1 + 6 + 38 + 30 + (13 + 13) $
- Solve inside parentheses:
$$
13 + 13 = 26
$$
- Add all:
$$
1 + 6 + 38 + 30 + 26 = 101
$$
✔ Answer: 101
---
4) $ 1 + 6 + 38 + 30 - (13 + 13) $
- Inside parentheses:
$$
13 + 13 = 26
$$
- Sum outside:
$$
1 + 6 + 38 + 30 = 75
$$
- Subtract:
$$
75 - 26 = 49
$$
✔ Answer: 49
---
5) $ (29 - 14 + 33) - (29 - 14 + 33) $
- Both parentheses are the same:
$$
29 - 14 + 33 = 15 + 33 = 48
$$
- So:
$$
48 - 48 = 0
$$
✔ Answer: 0
---
6) $ (29 - 14 + 33) - (29 - 14) + 33 $
- First parentheses:
$$
29 - 14 + 33 = 15 + 33 = 48
$$
- Second parentheses:
$$
29 - 14 = 15
$$
- Now:
$$
48 - 15 + 33 = 33 + 33 = 66
$$
✔ Answer: 66
---
7) $ (29 - 14 + 33) - (29 - 14) - 33 $
- First parentheses: $ 29 - 14 + 33 = 48 $
- Second: $ 29 - 14 = 15 $
- Now:
$$
48 - 15 - 33 = 33 - 33 = 0
$$
✔ Answer: 0
---
8) $ 16 + 28 + (23 + 35) - (16 + 28) $
- Inside parentheses:
$$
23 + 35 = 58,\quad 16 + 28 = 44
$$
- Now:
$$
16 + 28 + 58 - 44 = 102 - 44 = 58
$$
✔ Answer: 58
---
9) $ 33 + 11 + 14 + 2 - (21 + 33) $
- Outside sum:
$$
33 + 11 + 14 + 2 = 60
$$
- Inside parentheses:
$$
21 + 33 = 54
$$
- Subtract:
$$
60 - 54 = 6
$$
✔ Answer: 6
---
10) $ 54 - (37 + 15) + (37 + 14) - 1 $
- Solve parentheses:
$$
37 + 15 = 52,\quad 37 + 14 = 51
$$
- Now:
$$
54 - 52 + 51 - 1 = 2 + 51 - 1 = 52
$$
✔ Answer: 52
---
11) $ 50 + 10 - 10 + 5 - 5 - 20 $
- No parentheses → left to right:
$$
50 + 10 = 60 \\
60 - 10 = 50 \\
50 + 5 = 55 \\
55 - 5 = 50 \\
50 - 20 = 30
$$
✔ Answer: 30
---
12) $ 50 + 10 - (10 + 5) - 5 - 20 $
- Parentheses:
$$
10 + 5 = 15
$$
- Now:
$$
50 + 10 = 60 \\
60 - 15 = 45 \\
45 - 5 = 40 \\
40 - 20 = 20
$$
✔ Answer: 20
---
✔ Final Answers:
1)
53
2)
24
3)
101
4)
49
5)
0
6)
66
7)
0
8)
58
9)
6
10)
52
11)
30
12)
20
Let me know if you'd like these explained in a printable format or with steps!
Parent Tip: Review the logic above to help your child master the concept of number operations worksheet.
