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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 $5 \times 2 + (11 + 8) - 18 \div 9$?
- 27 (correct)
- 25
- 21
- 30
What is the result of the expression $(12 \div 3) + 3 + (16 - 7) \times 4$?
What is the result of the expression $(12 \div 3) + 3 + (16 - 7) \times 4$?
- 39
- 28
- 33
- 43 (correct)
What is the result of the expression $10 - 7 + 9 \times 5 + 28 \div 4$?
What is the result of the expression $10 - 7 + 9 \times 5 + 28 \div 4$?
- 50
- 60
- 45
- 55 (correct)
What is the result of the expression $(18 - 9) \times 4 + 8 + 35 - 5$?
What is the result of the expression $(18 - 9) \times 4 + 8 + 35 - 5$?
What is the result of the expression $8 \times 9 + (10 + 5) - 48 \div 8$?
What is the result of the expression $8 \times 9 + (10 + 5) - 48 \div 8$?
What is the result of the expression $(18 \div 6) + 5 + (12 - 3) \times 8$?
What is the result of the expression $(18 \div 6) + 5 + (12 - 3) \times 8$?
What is the result of the expression $(17 - 6 \div 2) + 4 \cdot 3$?
What is the result of the expression $(17 - 6 \div 2) + 4 \cdot 3$?
What is the result of the expression $-2(1 \cdot 4 - 2 \div 2) + (6 + 2 - 3)$?
What is the result of the expression $-2(1 \cdot 4 - 2 \div 2) + (6 + 2 - 3)$?
What is the result of the expression $(3 \cdot 5^2 \div 15) - (5 - 2^2)$?
What is the result of the expression $(3 \cdot 5^2 \div 15) - (5 - 2^2)$?
What is the result of the expression $(1^4 \cdot 2^2 + 3^3) - 2^5 \div 4$?
What is the result of the expression $(1^4 \cdot 2^2 + 3^3) - 2^5 \div 4$?
What is the result of the expression $(22 \div 2 - 2 \cdot 5)^2 + (4 - 6 \div 6)^2$?
What is the result of the expression $(22 \div 2 - 2 \cdot 5)^2 + (4 - 6 \div 6)^2$?
What is the result of the expression $-10 \div (20 \div 2^2 \times 5 \div 5) \times 8 - 2$?
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.
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