Evaluate the given expression.$(-20) \times (-1) + 14 \div 7$ | Mathematics MCQ | Examoogle

BODMAS=Brackets,Of,Division,Multiplication,Addition,SubtractionBODMAS = \text{Brackets}, Of, \text{Division}, \text{Multiplication}, \text{Addition}, \text{Subtraction}BODMAS=Brackets,Of,Division,Multiplication,Addition,Subtraction

⚡ Exam Hall Shortcut / Speed Trick

Apply BODMAS: First multiply the negatives to get a positive, then divide, finally add the results.

⚠️ Common Student Trap / Pitfall

Students often make mistakes by performing addition before division, ignoring the priority order defined by BODMAS.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Identify operations

The expression contains multiplication, addition, and division. According to BODMAS, division and multiplication take precedence over addition.

(−20)×(−1)+(14÷7)(-20) \times (-1) + (14 \div 7)(−20)×(−1)+(14÷7)

Perform multiplication and division

Calculate the multiplication $(-20) \times (-1) = 20$ and the division $14 \div 7 = 2$ .

20+220 + 220+2

Perform addition

Add the results obtained from the previous step.

20+2=2220 + 2 = 2220+2=22

✅

C is correct because the result of the expression $(-20) \times (-1) + 14 \div 7$ is $20 + 2 = 22$ .

Core Concepts Used

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BODMAS Rule Integer Arithmetic Order of Operations

💡 EXAM TIP

This fundamental rule of BODMAS is essential for all simplification problems in competitive exams, including simplification of algebraic expressions.

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