Worksheet for practicing order of operations with multiplication, division, addition, and subtraction.
A worksheet titled "Order of Operations - Multiplication, Division, Addition and Subtraction" with sections A through E, featuring math problems and instructions for solving them using the correct order of operations.
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Step-by-step solution for: BODMAS Worksheets | Printable PDF Order of Operations Worksheets ...
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Show Answer Key & Explanations
Step-by-step solution for: BODMAS Worksheets | Printable PDF Order of Operations Worksheets ...
The image you've uploaded is a worksheet focused on the Order of Operations, which includes multiplication, division, addition, and subtraction. The goal is to solve mathematical expressions by following the correct order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Let's break down each section and solve the problems step by step:
---
#### Example:
1. \( 7 + 3 \times 2 \)
- First, underline the multiplication: \( 7 + \underline{3 \times 2} \)
- Solve: \( 7 + 6 = 13 \)
#### Exercises:
1. \( 4 \div 4 + 6 \)
- First, underline the division: \( \underline{4 \div 4} + 6 \)
- Solve: \( 1 + 6 = 7 \)
2. \( 8 - 10 \div 5 \)
- First, underline the division: \( 8 - \underline{10 \div 5} \)
- Solve: \( 8 - 2 = 6 \)
3. \( 4 \times 21 + 3 \)
- First, underline the multiplication: \( \underline{4 \times 21} + 3 \)
- Solve: \( 84 + 3 = 87 \)
---
#### Example:
1. \( 5 \times 2 + 3 \)
- First, underline the multiplication: \( \underline{5 \times 2} + 3 \)
- Solve: \( 10 + 3 = 13 \)
#### Exercises:
1. \( 30 \div 6 + 15 \times 5 \)
- First, underline both division and multiplication (left to right):
- \( \underline{30 \div 6} + \underline{15 \times 5} \)
- Solve:
- \( 5 + 75 = 80 \)
2. \( 2 \times 8 - 18 \div 3 \)
- First, underline both multiplication and division (left to right):
- \( \underline{2 \times 8} - \underline{18 \div 3} \)
- Solve:
- \( 16 - 6 = 10 \)
3. \( 13 + 11 - 4 \times 2 \)
- First, underline the multiplication:
- \( 13 + 11 - \underline{4 \times 2} \)
- Solve:
- \( 13 + 11 - 8 = 16 \)
---
#### Exercises:
1. \( 12 - 2 \times 4 \)
- Solve: \( 12 - \underline{2 \times 4} = 12 - 8 = 4 \)
- Correct answer: 4
2. \( 16 + 32 \div 8 \)
- Solve: \( 16 + \underline{32 \div 8} = 16 + 4 = 20 \)
- Correct answer: 20
3. \( 5 \times 9 - 11 \times 2 \)
- Solve: \( \underline{5 \times 9} - \underline{11 \times 2} = 45 - 22 = 23 \)
- Correct answer: 23
4. \( 4 + 3 \times 10 + 5 \)
- Solve: \( 4 + \underline{3 \times 10} + 5 = 4 + 30 + 5 = 39 \)
- Correct answer: 39
5. \( 72 \div 9 \times 26 \div 4 \)
- Solve: \( \underline{72 \div 9} \times \underline{26 \div 4} = 8 \times 6.5 = 52 \)
- Correct answer: 52
---
#### Exercises:
1. \( 8 - 3 \times 2 \)
- Solve: \( 8 - \underline{3 \times 2} = 8 - 6 = 2 \)
2. \( 4 \times 6 \div 3 \)
- Solve: \( \underline{4 \times 6} \div 3 = 24 \div 3 = 8 \)
3. \( 5 \times 4 + 6 \)
- Solve: \( \underline{5 \times 4} + 6 = 20 + 6 = 26 \)
4. \( 5 - 12 \div 4 \)
- Solve: \( 5 - \underline{12 \div 4} = 5 - 3 = 2 \)
5. \( 2 \times 9 \div 3 \)
- Solve: \( \underline{2 \times 9} \div 3 = 18 \div 3 = 6 \)
6. \( 8 + 3 \times 2 + 6 \)
- Solve: \( 8 + \underline{3 \times 2} + 6 = 8 + 6 + 6 = 20 \)
7. \( 21 \div 3 + 8 \)
- Solve: \( \underline{21 \div 3} + 8 = 7 + 8 = 15 \)
8. \( 6 \times 10 - 3 \times 7 \)
- Solve: \( \underline{6 \times 10} - \underline{3 \times 7} = 60 - 21 = 39 \)
9. \( 8 + 4 \times 7 + 7 \)
- Solve: \( 8 + \underline{4 \times 7} + 7 = 8 + 28 + 7 = 43 \)
10. \( 15 \div 3 + 2 \times 6 \)
- Solve: \( \underline{15 \div 3} + \underline{2 \times 6} = 5 + 12 = 17 \)
11. \( 5 + 5 \times 20 \div 10 \)
- Solve: \( 5 + \underline{5 \times 20} \div 10 = 5 + 100 \div 10 = 5 + 10 = 15 \)
12. \( 49 \div 7 \times 10 + 3 \)
- Solve: \( \underline{49 \div 7} \times 10 + 3 = 7 \times 10 + 3 = 70 + 3 = 73 \)
---
#### Exercises:
1. \( 3 \times 5 + 7 = 56 \)
- Mistake: Incorrect calculation.
- Correct solution: \( \underline{3 \times 5} + 7 = 15 + 7 = 22 \)
- Correct answer: 22
2. \( 11 + 3 \times 8 - 14 \)
- Mistake: Incorrect order of operations.
- Correct solution: \( 11 + \underline{3 \times 8} - 14 = 11 + 24 - 14 = 21 \)
- Correct answer: 21
---
- Section A:
1. \( 7 \)
2. \( 6 \)
3. \( 87 \)
- Section B:
1. \( 80 \)
2. \( 10 \)
3. \( 16 \)
- Section C:
1. \( 4 \)
2. \( 20 \)
3. \( 23 \)
4. \( 39 \)
5. \( 52 \)
- Section D:
1. \( 2 \)
2. \( 8 \)
3. \( 26 \)
4. \( 2 \)
5. \( 6 \)
6. \( 20 \)
7. \( 15 \)
8. \( 39 \)
9. \( 43 \)
10. \( 17 \)
11. \( 15 \)
12. \( 73 \)
- Section E:
1. \( 22 \)
2. \( 21 \)
---
Final Boxed Answer:
\[
\boxed{22, 21}
\]
Let's break down each section and solve the problems step by step:
---
Section A: Underline which bit of the calculation you are going to do first
#### Example:
1. \( 7 + 3 \times 2 \)
- First, underline the multiplication: \( 7 + \underline{3 \times 2} \)
- Solve: \( 7 + 6 = 13 \)
#### Exercises:
1. \( 4 \div 4 + 6 \)
- First, underline the division: \( \underline{4 \div 4} + 6 \)
- Solve: \( 1 + 6 = 7 \)
2. \( 8 - 10 \div 5 \)
- First, underline the division: \( 8 - \underline{10 \div 5} \)
- Solve: \( 8 - 2 = 6 \)
3. \( 4 \times 21 + 3 \)
- First, underline the multiplication: \( \underline{4 \times 21} + 3 \)
- Solve: \( 84 + 3 = 87 \)
---
Section B: Underline which bit of the calculation you are going to do first, then which bit you will do second
#### Example:
1. \( 5 \times 2 + 3 \)
- First, underline the multiplication: \( \underline{5 \times 2} + 3 \)
- Solve: \( 10 + 3 = 13 \)
#### Exercises:
1. \( 30 \div 6 + 15 \times 5 \)
- First, underline both division and multiplication (left to right):
- \( \underline{30 \div 6} + \underline{15 \times 5} \)
- Solve:
- \( 5 + 75 = 80 \)
2. \( 2 \times 8 - 18 \div 3 \)
- First, underline both multiplication and division (left to right):
- \( \underline{2 \times 8} - \underline{18 \div 3} \)
- Solve:
- \( 16 - 6 = 10 \)
3. \( 13 + 11 - 4 \times 2 \)
- First, underline the multiplication:
- \( 13 + 11 - \underline{4 \times 2} \)
- Solve:
- \( 13 + 11 - 8 = 16 \)
---
Section C: Choose the correct answer for the following calculations
#### Exercises:
1. \( 12 - 2 \times 4 \)
- Solve: \( 12 - \underline{2 \times 4} = 12 - 8 = 4 \)
- Correct answer: 4
2. \( 16 + 32 \div 8 \)
- Solve: \( 16 + \underline{32 \div 8} = 16 + 4 = 20 \)
- Correct answer: 20
3. \( 5 \times 9 - 11 \times 2 \)
- Solve: \( \underline{5 \times 9} - \underline{11 \times 2} = 45 - 22 = 23 \)
- Correct answer: 23
4. \( 4 + 3 \times 10 + 5 \)
- Solve: \( 4 + \underline{3 \times 10} + 5 = 4 + 30 + 5 = 39 \)
- Correct answer: 39
5. \( 72 \div 9 \times 26 \div 4 \)
- Solve: \( \underline{72 \div 9} \times \underline{26 \div 4} = 8 \times 6.5 = 52 \)
- Correct answer: 52
---
Section D: Without using a calculator, calculate the following
#### Exercises:
1. \( 8 - 3 \times 2 \)
- Solve: \( 8 - \underline{3 \times 2} = 8 - 6 = 2 \)
2. \( 4 \times 6 \div 3 \)
- Solve: \( \underline{4 \times 6} \div 3 = 24 \div 3 = 8 \)
3. \( 5 \times 4 + 6 \)
- Solve: \( \underline{5 \times 4} + 6 = 20 + 6 = 26 \)
4. \( 5 - 12 \div 4 \)
- Solve: \( 5 - \underline{12 \div 4} = 5 - 3 = 2 \)
5. \( 2 \times 9 \div 3 \)
- Solve: \( \underline{2 \times 9} \div 3 = 18 \div 3 = 6 \)
6. \( 8 + 3 \times 2 + 6 \)
- Solve: \( 8 + \underline{3 \times 2} + 6 = 8 + 6 + 6 = 20 \)
7. \( 21 \div 3 + 8 \)
- Solve: \( \underline{21 \div 3} + 8 = 7 + 8 = 15 \)
8. \( 6 \times 10 - 3 \times 7 \)
- Solve: \( \underline{6 \times 10} - \underline{3 \times 7} = 60 - 21 = 39 \)
9. \( 8 + 4 \times 7 + 7 \)
- Solve: \( 8 + \underline{4 \times 7} + 7 = 8 + 28 + 7 = 43 \)
10. \( 15 \div 3 + 2 \times 6 \)
- Solve: \( \underline{15 \div 3} + \underline{2 \times 6} = 5 + 12 = 17 \)
11. \( 5 + 5 \times 20 \div 10 \)
- Solve: \( 5 + \underline{5 \times 20} \div 10 = 5 + 100 \div 10 = 5 + 10 = 15 \)
12. \( 49 \div 7 \times 10 + 3 \)
- Solve: \( \underline{49 \div 7} \times 10 + 3 = 7 \times 10 + 3 = 70 + 3 = 73 \)
---
Section E: Spot and correct the mistake
#### Exercises:
1. \( 3 \times 5 + 7 = 56 \)
- Mistake: Incorrect calculation.
- Correct solution: \( \underline{3 \times 5} + 7 = 15 + 7 = 22 \)
- Correct answer: 22
2. \( 11 + 3 \times 8 - 14 \)
- Mistake: Incorrect order of operations.
- Correct solution: \( 11 + \underline{3 \times 8} - 14 = 11 + 24 - 14 = 21 \)
- Correct answer: 21
---
Final Answers:
- Section A:
1. \( 7 \)
2. \( 6 \)
3. \( 87 \)
- Section B:
1. \( 80 \)
2. \( 10 \)
3. \( 16 \)
- Section C:
1. \( 4 \)
2. \( 20 \)
3. \( 23 \)
4. \( 39 \)
5. \( 52 \)
- Section D:
1. \( 2 \)
2. \( 8 \)
3. \( 26 \)
4. \( 2 \)
5. \( 6 \)
6. \( 20 \)
7. \( 15 \)
8. \( 39 \)
9. \( 43 \)
10. \( 17 \)
11. \( 15 \)
12. \( 73 \)
- Section E:
1. \( 22 \)
2. \( 21 \)
---
Final Boxed Answer:
\[
\boxed{22, 21}
\]
Parent Tip: Review the logic above to help your child master the concept of bodmas worksheet.