To solve these problems, we need to follow the
Order of Operations, often remembered by the acronym
PEMDAS:
-
P: Parentheses
-
E: Exponents
-
M/D: Multiplication and Division (from left to right)
-
A/S: Addition and Subtraction (from left to right)
Let's solve each equation step by step.
---
1. \( 6 \times 6 + 3 \times 4 = \)
1. Perform multiplication first:
- \( 6 \times 6 = 36 \)
- \( 3 \times 4 = 12 \)
2. Add the results:
- \( 36 + 12 = 48 \)
Answer: \( 48 \)
---
2. \( 28 - 8 \times 3 + 16 = \)
1. Perform multiplication first:
- \( 8 \times 3 = 24 \)
2. Substitute back and perform subtraction and addition from left to right:
- \( 28 - 24 = 4 \)
- \( 4 + 16 = 20 \)
Answer: \( 20 \)
---
3. \( 56 \div 7 \times 5 + 60 = \)
1. Perform division and multiplication from left to right:
- \( 56 \div 7 = 8 \)
- \( 8 \times 5 = 40 \)
2. Add the result to 60:
- \( 40 + 60 = 100 \)
Answer: \( 100 \)
---
4. \( 24 \div 8 - 12 \div 6 = \)
1. Perform division first:
- \( 24 \div 8 = 3 \)
- \( 12 \div 6 = 2 \)
2. Subtract the results:
- \( 3 - 2 = 1 \)
Answer: \( 1 \)
---
5. \( 10 \times 10 + 10 \times 10 = \)
1. Perform multiplication first:
- \( 10 \times 10 = 100 \)
- \( 10 \times 10 = 100 \)
2. Add the results:
- \( 100 + 100 = 200 \)
Answer: \( 200 \)
---
6. \( 90 + 8 \times 5 - 30 = \)
1. Perform multiplication first:
- \( 8 \times 5 = 40 \)
2. Substitute back and perform addition and subtraction from left to right:
- \( 90 + 40 = 130 \)
- \( 130 - 30 = 100 \)
Answer: \( 100 \)
---
7. \( 30 \div 5 + 3 \times 3 = \)
1. Perform division and multiplication first:
- \( 30 \div 5 = 6 \)
- \( 3 \times 3 = 9 \)
2. Add the results:
- \( 6 + 9 = 15 \)
Answer: \( 15 \)
---
8. \( 96 \div 12 \times 4 + 8 = \)
1. Perform division and multiplication from left to right:
- \( 96 \div 12 = 8 \)
- \( 8 \times 4 = 32 \)
2. Add the result to 8:
- \( 32 + 8 = 40 \)
Answer: \( 40 \)
---
9. \( 50 - 25 \times 2 = \)
1. Perform multiplication first:
- \( 25 \times 2 = 50 \)
2. Subtract the result:
- \( 50 - 50 = 0 \)
Answer: \( 0 \)
---
10. \( 80 - 15 \times 2 \times 2 = \)
1. Perform multiplication from left to right:
- \( 15 \times 2 = 30 \)
- \( 30 \times 2 = 60 \)
2. Subtract the result:
- \( 80 - 60 = 20 \)
Answer: \( 20 \)
---
Final Answers:
1. \( 48 \)
2. \( 20 \)
3. \( 100 \)
4. \( 1 \)
5. \( 200 \)
6. \( 100 \)
7. \( 15 \)
8. \( 40 \)
9. \( 0 \)
10. \( 20 \)
Boxed Answer:
\[
\boxed{48, 20, 100, 1, 200, 100, 15, 40, 0, 20}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet for grade 4.
