To solve the given problems, we need to follow the
Order of Operations, often remembered by the acronym
PEMDAS:
-
P: Parentheses
-
E: Exponents (not applicable here)
-
M/D: Multiplication and Division (from left to right)
-
A/S: Addition and Subtraction (from left to right)
Let's solve each problem step by step.
---
Problem 1: \( 8 \times (3 \times 2 - 8) + 10 \)
1. Solve inside the parentheses:
\[
3 \times 2 - 8 = 6 - 8 = -2
\]
2. Multiply:
\[
8 \times (-2) = -16
\]
3. Add:
\[
-16 + 10 = -6
\]
Answer: \(\boxed{-6}\)
---
Problem 2: \( (16 + 2) \times (8 + 15 - 3) \)
1. Solve the first set of parentheses:
\[
16 + 2 = 18
\]
2. Solve the second set of parentheses:
\[
8 + 15 - 3 = 23 - 3 = 20
\]
3. Multiply:
\[
18 \times 20 = 360
\]
Answer: \(\boxed{360}\)
---
Problem 3: \( (14 - 8) \times (10 + 2) + 7 \)
1. Solve the first set of parentheses:
\[
14 - 8 = 6
\]
2. Solve the second set of parentheses:
\[
10 + 2 = 12
\]
3. Multiply:
\[
6 \times 12 = 72
\]
4. Add:
\[
72 + 7 = 79
\]
Answer: \(\boxed{79}\)
---
Problem 4: \( (9 + 34 - 3) + 4 + 3 \)
1. Solve inside the parentheses:
\[
9 + 34 - 3 = 43 - 3 = 40
\]
2. Add the remaining numbers:
\[
40 + 4 + 3 = 44 + 3 = 47
\]
Answer: \(\boxed{47}\)
---
Problem 5: \( (8 + 35 - 3) + 8 + 3 \)
1. Solve inside the parentheses:
\[
8 + 35 - 3 = 43 - 3 = 40
\]
2. Add the remaining numbers:
\[
40 + 8 + 3 = 48 + 3 = 51
\]
Answer: \(\boxed{51}\)
---
Problem 6: \( (10 + 20 - 2) - (11 + 3) \)
1. Solve the first set of parentheses:
\[
10 + 20 - 2 = 30 - 2 = 28
\]
2. Solve the second set of parentheses:
\[
11 + 3 = 14
\]
3. Subtract:
\[
28 - 14 = 14
\]
Answer: \(\boxed{14}\)
---
Problem 7: \( (8 + 56 - 4) - (8 + 2) \)
1. Solve the first set of parentheses:
\[
8 + 56 - 4 = 64 - 4 = 60
\]
2. Solve the second set of parentheses:
\[
8 + 2 = 10
\]
3. Subtract:
\[
60 - 10 = 50
\]
Answer: \(\boxed{50}\)
---
Problem 8: \( (13 - 4) \times (14 + 3) - 8 \)
1. Solve the first set of parentheses:
\[
13 - 4 = 9
\]
2. Solve the second set of parentheses:
\[
14 + 3 = 17
\]
3. Multiply:
\[
9 \times 17 = 153
\]
4. Subtract:
\[
153 - 8 = 145
\]
Answer: \(\boxed{145}\)
---
Problem 9: \( (9 - 5) \times (15 + 15 - 3) \)
1. Solve the first set of parentheses:
\[
9 - 5 = 4
\]
2. Solve the second set of parentheses:
\[
15 + 15 - 3 = 30 - 3 = 27
\]
3. Multiply:
\[
4 \times 27 = 108
\]
Answer: \(\boxed{108}\)
---
Problem 10: \( 3 \times (5 \times 9 + 5) - 4 \)
1. Solve inside the parentheses:
\[
5 \times 9 + 5 = 45 + 5 = 50
\]
2. Multiply:
\[
3 \times 50 = 150
\]
3. Subtract:
\[
150 - 4 = 146
\]
Answer: \(\boxed{146}\)
---
Final Answers:
\[
\boxed{-6, 360, 79, 47, 51, 14, 50, 145, 108, 146}
\]
Parent Tip: Review the logic above to help your child master the concept of easy pemdas worksheet.
