Let’s solve each expression step by step. We’ll follow the order of operations:
Parentheses → Exponents → Multiplication/Division (left to right) → Addition/Subtraction (left to right)
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Left Column:
1.
20 ÷ 5 + 19 - 6
→ 20 ÷ 5 = 4
→ 4 + 19 = 23
→ 23 - 6 =
17
2.
10 + 13 - 5 × 2
→ First, multiplication: 5 × 2 = 10
→ Then left to right: 10 + 13 = 23; 23 - 10 =
13
3.
(14 + 3) × 10 - 4
→ Parentheses first: 14 + 3 = 17
→ Multiply: 17 × 10 = 170
→ Subtract: 170 - 4 =
166
4.
(8 + 5) + 24 ÷ 12
→ Parentheses: 8 + 5 = 13
→ Division: 24 ÷ 12 = 2
→ Add: 13 + 2 =
15
5.
3 · (14 + 6) - 2²
→ Parentheses: 14 + 6 = 20
→ Exponent: 2² = 4
→ Multiply: 3 × 20 = 60
→ Subtract: 60 - 4 =
56
6.
(13 × 4 + 5²) - 2
→ Inside parentheses:
- 13 × 4 = 52
- 5² = 25
- 52 + 25 = 77
→ Then subtract 2: 77 - 2 =
75
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Right Column:
7.
50 - 24 ÷ 12 × 13
→ Division and multiplication left to right:
- 24 ÷ 12 = 2
- 2 × 13 = 26
→ Then subtract: 50 - 26 =
24
8.
10 ÷ 5 + 14 - 3
→ Division: 10 ÷ 5 = 2
→ Left to right: 2 + 14 = 16; 16 - 3 =
13
9.
12 - 9(6 - 5)
→ Parentheses: 6 - 5 = 1
→ Multiply: 9 × 1 = 9
→ Subtract: 12 - 9 =
3
10.
(9 + 31) ÷ (3 + 1)
→ Parentheses:
- 9 + 31 = 40
- 3 + 1 = 4
→ Divide: 40 ÷ 4 =
10
11.
(64 - 4) ÷ 5 - 3²
→ Parentheses: 64 - 4 = 60
→ Exponent: 3² = 9
→ Division: 60 ÷ 5 = 12
→ Subtract: 12 - 9 =
3
12.
(45 - 5) ÷ 8 + 6²
→ Parentheses: 45 - 5 = 40
→ Exponent: 6² = 36
→ Division: 40 ÷ 8 = 5
→ Add: 5 + 36 =
41
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Final Answer:
Left column results: 17, 13, 166, 15, 56, 75
Right column results: 24, 13, 3, 10, 3, 41
Parent Tip: Review the logic above to help your child master the concept of 6th grade order of operations with exponents worksheet.
