PEMDAS math practice worksheet with 16 equations requiring order of operations.
Math worksheet with PEMDAS problems involving multiplication, addition, and subtraction.
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Step-by-step solution for: Order of Operations (MDAS with parentheses) worksheet | Live ...
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Show Answer Key & Explanations
Step-by-step solution for: Order of Operations (MDAS with parentheses) worksheet | Live ...
To solve the problems in the image, we need to follow the PEMDAS rule, which stands for:
1. Parentheses
2. Exponents (not applicable here)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Let's solve each problem step by step.
---
1. (1 × 9) - 2 = ?
- First, solve the parentheses: \( 1 \times 9 = 9 \)
- Then subtract: \( 9 - 2 = 7 \)
- Answer: \( 7 \)
2. (9 × 6) + 6 = ?
- First, solve the parentheses: \( 9 \times 6 = 54 \)
- Then add: \( 54 + 6 = 60 \)
- Answer: \( 60 \)
3. 8 + (2 × 1) = ?
- First, solve the parentheses: \( 2 \times 1 = 2 \)
- Then add: \( 8 + 2 = 10 \)
- Answer: \( 10 \)
4. 7 + (3 × 1) = ?
- First, solve the parentheses: \( 3 \times 1 = 3 \)
- Then add: \( 7 + 3 = 10 \)
- Answer: \( 10 \)
5. 9 + (7 × 5) = ?
- First, solve the parentheses: \( 7 \times 5 = 35 \)
- Then add: \( 9 + 35 = 44 \)
- Answer: \( 44 \)
6. (5 × 9) + 4 = ?
- First, solve the parentheses: \( 5 \times 9 = 45 \)
- Then add: \( 45 + 4 = 49 \)
- Answer: \( 49 \)
7. 24 - (2 × 4) = ?
- First, solve the parentheses: \( 2 \times 4 = 8 \)
- Then subtract: \( 24 - 8 = 16 \)
- Answer: \( 16 \)
8. 8 + (5 × 4) = ?
- First, solve the parentheses: \( 5 \times 4 = 20 \)
- Then add: \( 8 + 20 = 28 \)
- Answer: \( 28 \)
---
1. 3 + (2 × 3) = ?
- First, solve the parentheses: \( 2 \times 3 = 6 \)
- Then add: \( 3 + 6 = 9 \)
- Answer: \( 9 \)
2. (1 × 4) - 4 = ?
- First, solve the parentheses: \( 1 \times 4 = 4 \)
- Then subtract: \( 4 - 4 = 0 \)
- Answer: \( 0 \)
3. (7 × 8) + 1 = ?
- First, solve the parentheses: \( 7 \times 8 = 56 \)
- Then add: \( 56 + 1 = 57 \)
- Answer: \( 57 \)
4. 5 + (5 × 7) = ?
- First, solve the parentheses: \( 5 \times 7 = 35 \)
- Then add: \( 5 + 35 = 40 \)
- Answer: \( 40 \)
5. 5 + (9 × 9) = ?
- First, solve the parentheses: \( 9 \times 9 = 81 \)
- Then add: \( 5 + 81 = 86 \)
- Answer: \( 86 \)
6. 6 + (2 × 2) = ?
- First, solve the parentheses: \( 2 \times 2 = 4 \)
- Then add: \( 6 + 4 = 10 \)
- Answer: \( 10 \)
7. 45 - (2 × 7) = ?
- First, solve the parentheses: \( 2 \times 7 = 14 \)
- Then subtract: \( 45 - 14 = 31 \)
- Answer: \( 31 \)
8. 4 + (2 × 3) = ?
- First, solve the parentheses: \( 2 \times 3 = 6 \)
- Then add: \( 4 + 6 = 10 \)
- Answer: \( 10 \)
---
- Left Column:
- \( 7 \)
- \( 60 \)
- \( 10 \)
- \( 10 \)
- \( 44 \)
- \( 49 \)
- \( 16 \)
- \( 28 \)
- Right Column:
- \( 9 \)
- \( 0 \)
- \( 57 \)
- \( 40 \)
- \( 86 \)
- \( 10 \)
- \( 31 \)
- \( 10 \)
---
\[
\boxed{
\begin{array}{ll}
7 & 9 \\
60 & 0 \\
10 & 57 \\
10 & 40 \\
44 & 86 \\
49 & 10 \\
16 & 31 \\
28 & 10 \\
\end{array}
}
\]
1. Parentheses
2. Exponents (not applicable here)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Let's solve each problem step by step.
---
Left Column:
1. (1 × 9) - 2 = ?
- First, solve the parentheses: \( 1 \times 9 = 9 \)
- Then subtract: \( 9 - 2 = 7 \)
- Answer: \( 7 \)
2. (9 × 6) + 6 = ?
- First, solve the parentheses: \( 9 \times 6 = 54 \)
- Then add: \( 54 + 6 = 60 \)
- Answer: \( 60 \)
3. 8 + (2 × 1) = ?
- First, solve the parentheses: \( 2 \times 1 = 2 \)
- Then add: \( 8 + 2 = 10 \)
- Answer: \( 10 \)
4. 7 + (3 × 1) = ?
- First, solve the parentheses: \( 3 \times 1 = 3 \)
- Then add: \( 7 + 3 = 10 \)
- Answer: \( 10 \)
5. 9 + (7 × 5) = ?
- First, solve the parentheses: \( 7 \times 5 = 35 \)
- Then add: \( 9 + 35 = 44 \)
- Answer: \( 44 \)
6. (5 × 9) + 4 = ?
- First, solve the parentheses: \( 5 \times 9 = 45 \)
- Then add: \( 45 + 4 = 49 \)
- Answer: \( 49 \)
7. 24 - (2 × 4) = ?
- First, solve the parentheses: \( 2 \times 4 = 8 \)
- Then subtract: \( 24 - 8 = 16 \)
- Answer: \( 16 \)
8. 8 + (5 × 4) = ?
- First, solve the parentheses: \( 5 \times 4 = 20 \)
- Then add: \( 8 + 20 = 28 \)
- Answer: \( 28 \)
---
Right Column:
1. 3 + (2 × 3) = ?
- First, solve the parentheses: \( 2 \times 3 = 6 \)
- Then add: \( 3 + 6 = 9 \)
- Answer: \( 9 \)
2. (1 × 4) - 4 = ?
- First, solve the parentheses: \( 1 \times 4 = 4 \)
- Then subtract: \( 4 - 4 = 0 \)
- Answer: \( 0 \)
3. (7 × 8) + 1 = ?
- First, solve the parentheses: \( 7 \times 8 = 56 \)
- Then add: \( 56 + 1 = 57 \)
- Answer: \( 57 \)
4. 5 + (5 × 7) = ?
- First, solve the parentheses: \( 5 \times 7 = 35 \)
- Then add: \( 5 + 35 = 40 \)
- Answer: \( 40 \)
5. 5 + (9 × 9) = ?
- First, solve the parentheses: \( 9 \times 9 = 81 \)
- Then add: \( 5 + 81 = 86 \)
- Answer: \( 86 \)
6. 6 + (2 × 2) = ?
- First, solve the parentheses: \( 2 \times 2 = 4 \)
- Then add: \( 6 + 4 = 10 \)
- Answer: \( 10 \)
7. 45 - (2 × 7) = ?
- First, solve the parentheses: \( 2 \times 7 = 14 \)
- Then subtract: \( 45 - 14 = 31 \)
- Answer: \( 31 \)
8. 4 + (2 × 3) = ?
- First, solve the parentheses: \( 2 \times 3 = 6 \)
- Then add: \( 4 + 6 = 10 \)
- Answer: \( 10 \)
---
Final Answers:
- Left Column:
- \( 7 \)
- \( 60 \)
- \( 10 \)
- \( 10 \)
- \( 44 \)
- \( 49 \)
- \( 16 \)
- \( 28 \)
- Right Column:
- \( 9 \)
- \( 0 \)
- \( 57 \)
- \( 40 \)
- \( 86 \)
- \( 10 \)
- \( 31 \)
- \( 10 \)
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
7 & 9 \\
60 & 0 \\
10 & 57 \\
10 & 40 \\
44 & 86 \\
49 & 10 \\
16 & 31 \\
28 & 10 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of order of operations with parentheses worksheet.