To solve the equations using the
Order of Operations (BIMDAS), we follow these steps:
BIMDAS Rules:
1.
Brackets: Solve anything inside brackets first.
2.
Indices: Calculate powers and roots next.
3.
Multiplication and Division: Perform multiplication and division from left to right.
4.
Addition and Subtraction: Perform addition and subtraction from left to right.
Let's solve each equation step by step:
---
1. \((50 + 10) \times 7 =\)
-
Step 1: Solve the brackets: \(50 + 10 = 60\).
-
Step 2: Multiply: \(60 \times 7 = 420\).
Answer: \(420\)
---
2. \(30 + 5^2 \times 2 =\)
-
Step 1: Calculate the index: \(5^2 = 25\).
-
Step 2: Multiply: \(25 \times 2 = 50\).
-
Step 3: Add: \(30 + 50 = 80\).
Answer: \(80\)
---
3. \(5 \times 12 + 8 \times 5 =\)
-
Step 1: Multiply: \(5 \times 12 = 60\) and \(8 \times 5 = 40\).
-
Step 2: Add: \(60 + 40 = 100\).
Answer: \(100\)
---
4. \(60 + 60 \times 3 =\)
-
Step 1: Multiply: \(60 \times 3 = 180\).
-
Step 2: Add: \(60 + 180 = 240\).
Answer: \(240\)
---
5. \((15 + 15) \times 3 =\)
-
Step 1: Solve the brackets: \(15 + 15 = 30\).
-
Step 2: Multiply: \(30 \times 3 = 90\).
Answer: \(90\)
---
6. \(9 \times 5 + 5 \times 9 =\)
-
Step 1: Multiply: \(9 \times 5 = 45\) and \(5 \times 9 = 45\).
-
Step 2: Add: \(45 + 45 = 90\).
Answer: \(90\)
---
7. \(2^2 \times 3^2 + 5 \times 4 =\)
-
Step 1: Calculate the indices: \(2^2 = 4\) and \(3^2 = 9\).
-
Step 2: Multiply: \(4 \times 9 = 36\) and \(5 \times 4 = 20\).
-
Step 3: Add: \(36 + 20 = 56\).
Answer: \(56\)
---
8. \(6 \times 6 - 5 \times 5 =\)
-
Step 1: Multiply: \(6 \times 6 = 36\) and \(5 \times 5 = 25\).
-
Step 2: Subtract: \(36 - 25 = 11\).
Answer: \(11\)
---
9. \(108 - 12 \times 9 =\)
-
Step 1: Multiply: \(12 \times 9 = 108\).
-
Step 2: Subtract: \(108 - 108 = 0\).
Answer: \(0\)
---
10. \(50 + 10^2 \times 2 =\)
-
Step 1: Calculate the index: \(10^2 = 100\).
-
Step 2: Multiply: \(100 \times 2 = 200\).
-
Step 3: Add: \(50 + 200 = 250\).
Answer: \(250\)
---
Final Answers:
1. \(420\)
2. \(80\)
3. \(100\)
4. \(240\)
5. \(90\)
6. \(90\)
7. \(56\)
8. \(11\)
9. \(0\)
10. \(250\)
Boxed Answer:
\[
\boxed{420, 80, 100, 240, 90, 90, 56, 11, 0, 250}
\]
Parent Tip: Review the logic above to help your child master the concept of pemdas sheet.
