Questions and Answers
What is the result of the expression $5 \times 2 + (11 + 8) - 18 \div 9$?
What is the result of the expression $(12 \div 3) + 3 + (16 - 7) \times 4$?
What is the result of the expression $10 - 7 + 9 \times 5 + 28 \div 4$?
What is the result of the expression $(18 - 9) \times 4 + 8 + 35 - 5$?
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What is the result of the expression $8 \times 9 + (10 + 5) - 48 \div 8$?
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What is the result of the expression $(18 \div 6) + 5 + (12 - 3) \times 8$?
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What is the result of the expression $(17 - 6 \div 2) + 4 \cdot 3$?
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What is the result of the expression $-2(1 \cdot 4 - 2 \div 2) + (6 + 2 - 3)$?
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What is the result of the expression $(3 \cdot 5^2 \div 15) - (5 - 2^2)$?
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What is the result of the expression $(1^4 \cdot 2^2 + 3^3) - 2^5 \div 4$?
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What is the result of the expression $(22 \div 2 - 2 \cdot 5)^2 + (4 - 6 \div 6)^2$?
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What is the result of the expression $-10 \div (20 \div 2^2 \times 5 \div 5) \times 8 - 2$?
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Study Notes
Order of Operations Key Concepts
- Use parentheses to prioritize calculations, following PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).
Example Calculations
- Result of 5 × 2 + (11 + 8) - 18 ÷ 9 is 27.
- Solve (12 ÷ 3) + 3 + (16 - 7) × 4 to obtain 43.
- Calculate 10 - 7 + 9 × 5 + 28 ÷ 4 to find 55.
- The expression (18 - 9) × 4 + 8 + 35 - 5 equals 74.
- For 8 × 9 + (10 + 5) - 48 ÷ 8, the result is 81.
- Evaluate (18 ÷ 6) + 5 + (12 - 3) × 8 to get 80.
- Compute (17 - 6 ÷ 2) + 4 · 3 to reach a total of 26.
Negative Numbers and Exponents
- The expression -2(1 · 4 - 2 ÷ 2) + (6 + 2 - 3) results in -1.
- Calculation of (3 · 5² ÷ 15) - (5 - 2²) gives a value of 4.
- Evaluate (1⁴ · 2² + 3³) - 2⁵ ÷ 4 to find the answer 23.
Advanced Operations
- The squared calculation (22 ÷ 2 - 2 · 5)² + (4 - 6 ÷ 6)² results in 10.
- The result of -10 ÷ (20 ÷ 2² × 5 ÷ 5) × 8 - 2 leads to -18.
Summary
- Mastering the order of operations is essential in pre-algebra for accurate problem solving.
- Utilizing parentheses strategically can greatly simplify complex expressions.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of the order of operations with these flashcards! Each card presents a mathematical expression to evaluate, helping you sharpen your pre-algebra skills. Perfect for mastering the fundamentals of arithmetic.
