Let’s solve each problem one by one, following the order of operations:
Parentheses → Exponents (none here) → Multiplication & Division (left to right) → Addition & Subtraction (left to right)
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1. 18 + 3 - 5 + 6 × 4 =
First, do multiplication:
6 × 4 = 24
Now: 18 + 3 - 5 + 24
Left to right:
18 + 3 = 21
21 - 5 = 16
16 + 24 =
40
✔ Answer:
40
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2. 4 + 18 ÷ 3 =
Division first:
18 ÷ 3 = 6
Then: 4 + 6 =
10
✔ Answer:
10
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3. 7 + 7 × 2 - 10 =
Multiplication first:
7 × 2 = 14
Now: 7 + 14 - 10
Left to right:
7 + 14 = 21
21 - 10 =
11
✔ Answer:
11
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4. (8 + 9 + 10) + 4 × 3 ÷ 2 =
Parentheses first:
8 + 9 + 10 = 27
Now: 27 + 4 × 3 ÷ 2
Multiplication and division left to right:
4 × 3 = 12
12 ÷ 2 = 6
Now: 27 + 6 =
33
✔ Answer:
33
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5. 2(4 + 17 - 2) + 13 =
Parentheses first:
4 + 17 = 21; 21 - 2 = 19
Now: 2 × 19 + 13
Multiply: 2 × 19 = 38
Add: 38 + 13 =
51
✔ Answer:
51
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6. (8 + 11 × 2) ÷ 3 + (10 + 5) =
Inside parentheses:
First part: 11 × 2 = 22 → 8 + 22 = 30
Second part: 10 + 5 = 15
Now: 30 ÷ 3 + 15
Divide: 30 ÷ 3 = 10
Add: 10 + 15 =
25
✔ Answer:
25
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7. 25 - 7 + 6 × 2 =
Multiplication first:
6 × 2 = 12
Now: 25 - 7 + 12
Left to right:
25 - 7 = 18
18 + 12 =
30
✔ Answer:
30
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8. 100 - 25 ÷ 5 + 2 + (23 + 2) =
Parentheses first:
23 + 2 = 25
Division next:
25 ÷ 5 = 5
Now: 100 - 5 + 2 + 25
Left to right:
100 - 5 = 95
95 + 2 = 97
97 + 25 =
122
✔ Answer:
122
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9. 7 × 0 + 27 ÷ 3 + 10 - 5 × 2 =
Do all multiplications and divisions left to right:
7 × 0 = 0
27 ÷ 3 = 9
5 × 2 = 10
Now: 0 + 9 + 10 - 10
Left to right:
0 + 9 = 9
9 + 10 = 19
19 - 10 =
9
✔ Answer:
9
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10. 18 ÷ 6 + 27 ÷ 3 - 2(2 + 3) + 15 - 4 =
Parentheses first:
2 + 3 = 5 → so 2(5) = 10
Now divisions:
18 ÷ 6 = 3
27 ÷ 3 = 9
Now expression is:
3 + 9 - 10 + 15 - 4
Left to right:
3 + 9 = 12
12 - 10 = 2
2 + 15 = 17
17 - 4 =
13
✔ Answer:
13
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Bonus Problem: 18 × 2 ÷ 3 × 5 × 1 × 8 + 17 + 3 =
All multiplication/division left to right:
Start with 18 × 2 = 36
36 ÷ 3 = 12
12 × 5 = 60
60 × 1 = 60
60 × 8 = 480
Now add: 480 + 17 + 3
480 + 17 = 497
497 + 3 =
500
✔ Bonus Answer:
500
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Final Answer:
1. 40
2. 10
3. 11
4. 33
5. 51
6. 25
7. 30
8. 122
9. 9
10. 13
Bonus: 500
Parent Tip: Review the logic above to help your child master the concept of order of operations worksheet grade 5.