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Christmas-themed math worksheet focusing on order of operations with four integers.

Worksheet with Christmas-themed icons at the top, titled "four integers, order of operations," featuring math problems involving four integers and operations like addition, subtraction, multiplication, and division, with spaces for name, date, and score.

Worksheet with Christmas-themed icons at the top, titled "four integers, order of operations," featuring math problems involving four integers and operations like addition, subtraction, multiplication, and division, with spaces for name, date, and score.

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Show Answer Key & Explanations Step-by-step solution for: four integers, order of operations Math Worksheets, Math Practice ...
Let’s solve each problem step by step using the order of operations:

> Remember:
> Multiply and divide first (from left to right),
> then add and subtract (also from left to right).

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Problem 1:


2 - 7 × 8 + 10

Step 1: Multiply → 7 × 8 = 56
Now: 2 - 56 + 10

Step 2: Left to right → 2 - 56 = -54
Then: -54 + 10 = -44

Answer: -44

---

Problem 2:


33 × 8 ÷ 3 - 1

Step 1: Multiply → 33 × 8 = 264
Then divide → 264 ÷ 3 = 88
Now: 88 - 1 = 87

Answer: 87

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Problem 3:


5 + 5 × 10 - 5

Step 1: Multiply → 5 × 10 = 50
Now: 5 + 50 - 5

Step 2: Left to right → 5 + 50 = 55
Then: 55 - 5 = 50

Answer: 50

---

Problem 4:


8 + 20 × 5 ÷ 10

Step 1: Multiply → 20 × 5 = 100
Then divide → 100 ÷ 10 = 10
Now: 8 + 10 = 18

Answer: 18

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Problem 5:


3 + 11 + 11 × 2

Step 1: Multiply → 11 × 2 = 22
Now: 3 + 11 + 22

Step 2: Add left to right → 3 + 11 = 14; 14 + 22 = 36

Answer: 36

---

Problem 6:


3 + 6 × 5 + 4

Step 1: Multiply → 6 × 5 = 30
Now: 3 + 30 + 4

Step 2: Add → 3 + 30 = 33; 33 + 4 = 37

Answer: 37

---

Problem 7:


50 × 2 ÷ 10 + 7

Step 1: Multiply → 50 × 2 = 100
Then divide → 100 ÷ 10 = 10
Now: 10 + 7 = 17

Answer: 17

---

Problem 8:


2 + 18 × 3 ÷ 2

Step 1: Multiply → 18 × 3 = 54
Then divide → 54 ÷ 2 = 27
Now: 2 + 27 = 29

Answer: 29

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Problem 9:


10 × 5 ÷ 1 + 2

Step 1: Multiply → 10 × 5 = 50
Then divide → 50 ÷ 1 = 50
Now: 50 + 2 = 52

Answer: 52

---

Problem 10:


6 × 6 ÷ 6 + 2

Step 1: Multiply → 6 × 6 = 36
Then divide → 36 ÷ 6 = 6
Now: 6 + 2 = 8

Answer: 8

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Final Answer:
-44, 87, 50, 18, 36, 37, 17, 29, 52, 8
Parent Tip: Review the logic above to help your child master the concept of integer order of operations worksheet.
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