To solve the problems in the "Order of Operations Worksheet," we need to follow the correct order of operations, often remembered by the acronym
PEMDAS:
-
P: Parentheses (solve expressions inside parentheses first)
-
E: Exponents (solve any exponents next)
-
M/D: Multiplication and Division (work from left to right)
-
A/S: Addition and Subtraction (work from left to right)
Let's solve each problem step by step.
---
Problem 1: \( (25 + 5) \times 3 - 13 \)
1. Solve the expression inside the parentheses:
\[
25 + 5 = 30
\]
2. Multiply:
\[
30 \times 3 = 90
\]
3. Subtract:
\[
90 - 13 = 77
\]
Answer: \( 77 \)
---
Problem 2: \( 19 + 12 \times 2 - 4 \)
1. Perform multiplication first:
\[
12 \times 2 = 24
\]
2. Add and subtract from left to right:
\[
19 + 24 = 43
\]
\[
43 - 4 = 39
\]
Answer: \( 39 \)
---
Problem 3: \( 42 + 32 \div 4 \)
1. Perform division first:
\[
32 \div 4 = 8
\]
2. Add:
\[
42 + 8 = 50
\]
Answer: \( 50 \)
---
Problem 4: \( 12 + 34 \times 2 \div 2 \)
1. Perform multiplication and division from left to right:
\[
34 \times 2 = 68
\]
\[
68 \div 2 = 34
\]
2. Add:
\[
12 + 34 = 46
\]
Answer: \( 46 \)
---
Problem 5: \( (4 + 3) \times (2 + 5) \)
1. Solve the expressions inside both parentheses:
\[
4 + 3 = 7
\]
\[
2 + 5 = 7
\]
2. Multiply:
\[
7 \times 7 = 49
\]
Answer: \( 49 \)
---
Problem 6: \( 2 + 14 \times 5 - 5 \)
1. Perform multiplication first:
\[
14 \times 5 = 70
\]
2. Add and subtract from left to right:
\[
2 + 70 = 72
\]
\[
72 - 5 = 67
\]
Answer: \( 67 \)
---
Problem 7: \( 22 + 4 \times 5 - 13 \)
1. Perform multiplication first:
\[
4 \times 5 = 20
\]
2. Add and subtract from left to right:
\[
22 + 20 = 42
\]
\[
42 - 13 = 29
\]
Answer: \( 29 \)
---
Problem 8: \( 13 - 42 \div 7 + 2 \)
1. Perform division first:
\[
42 \div 7 = 6
\]
2. Subtract and add from left to right:
\[
13 - 6 = 7
\]
\[
7 + 2 = 9
\]
Answer: \( 9 \)
---
Problem 9: \( 15 + 2 - 14 \div 7 \)
1. Perform division first:
\[
14 \div 7 = 2
\]
2. Add and subtract from left to right:
\[
15 + 2 = 17
\]
\[
17 - 2 = 15
\]
Answer: \( 15 \)
---
Problem 10: \( (18 - 7) \times 2 \)
1. Solve the expression inside the parentheses:
\[
18 - 7 = 11
\]
2. Multiply:
\[
11 \times 2 = 22
\]
Answer: \( 22 \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & 77 \\
2. & 39 \\
3. & 50 \\
4. & 46 \\
5. & 49 \\
6. & 67 \\
7. & 29 \\
8. & 9 \\
9. & 15 \\
10. & 22 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of order of operations worksheet with exponents pdf.
