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Math practice problems featuring arithmetic operations and exponents.

A worksheet with two columns of mathematical equations involving addition, subtraction, multiplication, division, and exponents.

A worksheet with two columns of mathematical equations involving addition, subtraction, multiplication, division, and exponents.

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Show Answer Key & Explanations Step-by-step solution for: Order of Operations (PEDMAS with integers) worksheet
Let's solve each expression step by step, following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

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Left Column



1. $ 46 + (8 \times 4) + 2 $
- $ 8 \times 4 = 32 $
- $ 46 + 32 = 78 $
- $ 78 + 2 = 80 $
- 80

2. $ 49 + (4 \times 4) + 2 $
- $ 4 \times 4 = 16 $
- $ 49 + 16 = 65 $
- $ 65 + 2 = 67 $
- 67

3. $ 16 + (4 \times 4) + 2 $
- $ 4 \times 4 = 16 $
- $ 16 + 16 = 32 $
- $ 32 + 2 = 34 $
- 34

4. $ 4 \times 8^2 + 11 $
- $ 8^2 = 64 $
- $ 4 \times 64 = 256 $
- $ 256 + 11 = 267 $
- 267

5. $ 56 - 5^2 + 2 $
- $ 5^2 = 25 $
- $ 56 - 25 = 31 $
- $ 31 + 2 = 33 $
- 33

6. $ 4 \times 1^2 + 91 $
- $ 1^2 = 1 $
- $ 4 \times 1 = 4 $
- $ 4 + 91 = 95 $
- 95

7. $ 1 \times 7^2 + 87 $
- $ 7^2 = 49 $
- $ 1 \times 49 = 49 $
- $ 49 + 87 = 136 $
- 136

8. $ 7 \times (6^2 + 7) $
- $ 6^2 = 36 $
- $ 36 + 7 = 43 $
- $ 7 \times 43 = 301 $
- 301

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Right Column



1. $ 72 + (7 \times 4) + 2 $
- $ 7 \times 4 = 28 $
- $ 72 + 28 = 100 $
- $ 100 + 2 = 102 $
- 102

2. $ 31 - 9^2 + 8 $
- $ 9^2 = 81 $
- $ 31 - 81 = -50 $
- $ -50 + 8 = -42 $
- -42

3. $ 19 - 7^2 + 5 $
- $ 7^2 = 49 $
- $ 19 - 49 = -30 $
- $ -30 + 5 = -25 $
- -25

4. $ 6 \times 3 + 29 $
- $ 6 \times 3 = 18 $
- $ 18 + 29 = 47 $
- 47

5. $ 9 \times 6 + 71 $
- $ 9 \times 6 = 54 $
- $ 54 + 71 = 125 $
- 125

6. $ 7 \times 1^2 + 26 $
- $ 1^2 = 1 $
- $ 7 \times 1 = 7 $
- $ 7 + 26 = 33 $
- 33

7. $ 5 \times (6^2 - 2) $
- $ 6^2 = 36 $
- $ 36 - 2 = 34 $
- $ 5 \times 34 = 170 $
- 170

8. $ 97 - 1^2 + 4 $
- $ 1^2 = 1 $
- $ 97 - 1 = 96 $
- $ 96 + 4 = 100 $
- 100

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Final Answers:



Left Column:
1. 80
2. 67
3. 34
4. 267
5. 33
6. 95
7. 136
8. 301

Right Column:
1. 102
2. -42
3. -25
4. 47
5. 125
6. 33
7. 170
8. 100

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Let me know if you'd like this in a formatted table or need explanations for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of operations of integers worksheet.
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