Let’s solve each problem step by step using PEMDAS:
Parentheses,
Exponents,
Multiplication and
Division (left to right),
Addition and
Subtraction (left to right).
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1) 18 - 6 + 4 × 4 × 3
First, do multiplication:
4 × 4 = 16
16 × 3 = 48
Now: 18 - 6 + 48
Left to right:
18 - 6 = 12
12 + 48 =
60
✔ Answer: 60
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2) (16 + 8) - 3 × 5 + 18
Parentheses first:
16 + 8 = 24
Multiplication next:
3 × 5 = 15
Now: 24 - 15 + 18
Left to right:
24 - 15 = 9
9 + 18 =
27
✔ Answer: 27
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3) (9 × 6) - (12 - 7) - 13
Parentheses first:
9 × 6 = 54
12 - 7 = 5
Now: 54 - 5 - 13
Left to right:
54 - 5 = 49
49 - 13 =
36
✔ Answer: 36
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4) 2 × (34 - 29) + 32 - 11
Parentheses:
34 - 29 = 5
Multiplication:
2 × 5 = 10
Now: 10 + 32 - 11
Left to right:
10 + 32 = 42
42 - 11 =
31
✔ Answer: 31
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5) 8 × 4 - (3 + 16) + 3
Parentheses:
3 + 16 = 19
Multiplication:
8 × 4 = 32
Now: 32 - 19 + 3
Left to right:
32 - 19 = 13
13 + 3 =
16
✔ Answer: 16
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6) 38 + 37 - 8 × (2 + 5)
Parentheses:
2 + 5 = 7
Multiplication:
8 × 7 = 56
Now: 38 + 37 - 56
Left to right:
38 + 37 = 75
75 - 56 =
19
✔ Answer: 19
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7) 7 × (10 - 6) + 19 - 36
Parentheses:
10 - 6 = 4
Multiplication:
7 × 4 = 28
Now: 28 + 19 - 36
Left to right:
28 + 19 = 47
47 - 36 =
11
✔ Answer: 11
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8) (16 + 8) - 3 × 5 + 18
This is the same as #2!
Parentheses: 16 + 8 = 24
Multiplication: 3 × 5 = 15
Then: 24 - 15 + 18 = 9 + 18 =
27
✔ Answer: 27
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9) 6 × 3 + 4 × (9 ÷ 3)
Parentheses first:
9 ÷ 3 = 3
Now multiplications:
6 × 3 = 18
4 × 3 = 12
Now: 18 + 12 =
30
✔ Answer: 30
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10) 2³ - 8 ÷ 4 × 2 + 7
Exponents first:
2³ = 8
Now division and multiplication left to right:
8 ÷ 4 = 2
2 × 2 = 4
Now: 8 - 4 + 7
Left to right:
8 - 4 = 4
4 + 7 =
11
✔ Answer: 11
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Final Answer:
1) 60
2) 27
3) 36
4) 31
5) 16
6) 19
7) 11
8) 27
9) 30
10) 11
Parent Tip: Review the logic above to help your child master the concept of math order of operations answers.