To solve the equations using the
Order of Operations (BIDMAS/BODMAS), we follow these steps:
BIDMAS Rules:
1.
Brackets (solve anything inside brackets first)
2.
Indices (powers and roots, etc.)
3.
Division and Multiplication (left to right)
4.
Addition and Subtraction (left to right)
Let's solve each equation step by step.
---
1. \( 5 \times 12 + 8 \times 8 = \)
- First, perform the multiplications:
\[
5 \times 12 = 60
\]
\[
8 \times 8 = 64
\]
- Then, add the results:
\[
60 + 64 = 124
\]
Answer: \( 124 \)
---
2. \( 50 + 10^2 \times 2 = \)
- First, calculate the index (power):
\[
10^2 = 100
\]
- Next, perform the multiplication:
\[
100 \times 2 = 200
\]
- Finally, add:
\[
50 + 200 = 250
\]
Answer: \( 250 \)
---
3. \( (20 + 10) \times 9 = \)
- First, solve the expression inside the brackets:
\[
20 + 10 = 30
\]
- Then, multiply:
\[
30 \times 9 = 270
\]
Answer: \( 270 \)
---
4. \( 30 + 3^2 \times 3 = \)
- First, calculate the index (power):
\[
3^2 = 9
\]
- Next, perform the multiplication:
\[
9 \times 3 = 27
\]
- Finally, add:
\[
30 + 27 = 57
\]
Answer: \( 57 \)
---
5. \( 7 \times 5 + 5 \times 7 = \)
- Perform the multiplications:
\[
7 \times 5 = 35
\]
\[
5 \times 7 = 35
\]
- Then, add the results:
\[
35 + 35 = 70
\]
Answer: \( 70 \)
---
6. \( 49 \div 7 \times 10 = \)
- Perform the division first (left to right):
\[
49 \div 7 = 7
\]
- Then, multiply:
\[
7 \times 10 = 70
\]
Answer: \( 70 \)
---
7. \( (60 + 5^2) + 3^2 = \)
- First, calculate the indices (powers):
\[
5^2 = 25
\]
\[
3^2 = 9
\]
- Solve the expression inside the brackets:
\[
60 + 25 = 85
\]
- Finally, add:
\[
85 + 9 = 94
\]
Answer: \( 94 \)
---
8. \( (20 \times 3) + 4 \times 2 = \)
- First, solve the expression inside the brackets:
\[
20 \times 3 = 60
\]
- Next, perform the other multiplication:
\[
4 \times 2 = 8
\]
- Finally, add:
\[
60 + 8 = 68
\]
Answer: \( 68 \)
---
9. \( 15 \times (20 - 15) = \)
- First, solve the expression inside the brackets:
\[
20 - 15 = 5
\]
- Then, multiply:
\[
15 \times 5 = 75
\]
Answer: \( 75 \)
---
10. \( 4 \times 4 + 5 \times 10 = \)
- Perform the multiplications:
\[
4 \times 4 = 16
\]
\[
5 \times 10 = 50
\]
- Then, add the results:
\[
16 + 50 = 66
\]
Answer: \( 66 \)
---
Final Answers:
\[
\boxed{124, 250, 270, 57, 70, 70, 94, 68, 75, 66}
\]
Parent Tip: Review the logic above to help your child master the concept of order of operation math worksheet.
