Let’s solve each expression one by one using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right).
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1) 3(2 + 5)
Inside parentheses first: 2 + 5 = 7
Then multiply: 3 × 7 =
21
2) 6(9 – 2)
Parentheses: 9 – 2 = 7
Multiply: 6 × 7 =
42
3) 4(7 + 8)
Parentheses: 7 + 8 = 15
Multiply: 4 × 15 =
60
4) 8(13 – 9)
Parentheses: 13 – 9 = 4
Multiply: 8 × 4 =
32
5) 10(12 – 5)
Parentheses: 12 – 5 = 7
Multiply: 10 × 7 =
70
6) 4(7 + 3 – 1)
Left to right inside parentheses: 7 + 3 = 10; 10 – 1 = 9
Multiply: 4 × 9 =
36
7) 6(7 – 4 + 3)
Left to right: 7 – 4 = 3; 3 + 3 = 6
Multiply: 6 × 6 =
36
8) 8(15 – 11 + 2)
Left to right: 15 – 11 = 4; 4 + 2 = 6
Multiply: 8 × 6 =
48
9) 15(24 – 21)
Parentheses: 24 – 21 = 3
Multiply: 15 × 3 =
45
10) 5(2² + 5)
Exponent first: 2² = 4
Add inside: 4 + 5 = 9
Multiply: 5 × 9 =
45
11) 2(15 – 3²)
Exponent: 3² = 9
Subtract: 15 – 9 = 6
Multiply: 2 × 6 =
12
12) 9(2 × 6 – 5)
Multiplication inside: 2 × 6 = 12
Subtract: 12 – 5 = 7
Multiply: 9 × 7 =
63
13) 4(3 + 4 × 2)
Multiplication first: 4 × 2 = 8
Add: 3 + 8 = 11
Multiply: 4 × 11 =
44
14) 12(19 – 6 × 3)
Multiplication: 6 × 3 = 18
Subtract: 19 – 18 = 1
Multiply: 12 × 1 =
12
15) 6(15 ÷ 3 + 2)
Division: 15 ÷ 3 = 5
Add: 5 + 2 = 7
Multiply: 6 × 7 =
42
16) 3(20 – 4 × 5)
Multiplication: 4 × 5 = 20
Subtract: 20 – 20 = 0
Multiply: 3 × 0 =
0
17) 8(5² – 21)
Exponent: 5² = 25
Subtract: 25 – 21 = 4
Multiply: 8 × 4 =
32
18) ½(12 – 2³)
Exponent: 2³ = 8
Subtract: 12 – 8 = 4
Multiply by ½: ½ × 4 =
2
19) 3(6 × 5 – 22)
Multiplication: 6 × 5 = 30
Subtract: 30 – 22 = 8
Multiply: 3 × 8 =
24
20) ½(34 – 4 × 7)
Multiplication: 4 × 7 = 28
Subtract: 34 – 28 = 6
Multiply by ½: ½ × 6 =
3
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Final Answer:
1) 21
2) 42
3) 60
4) 32
5) 70
6) 36
7) 36
8) 48
9) 45
10) 45
11) 12
12) 63
13) 44
14) 12
15) 42
16) 0
17) 32
18) 2
19) 24
20) 3
Parent Tip: Review the logic above to help your child master the concept of distributive property of multiplication over addition worksheet.
