To evaluate the expression 3 × 9 − ( 2 × 4 ) :
Multiply within the parentheses: 2 × 4 = 8 .
Perform the remaining multiplication: 3 × 9 = 27 .
Subtract: 27 − 8 = 19 .
The final answer is 19 .
Explanation
Understanding the Expression We are given the expression 3 × 9 − ( 2 × 4 ) and asked to evaluate it. We need to follow the order of operations (PEMDAS/BODMAS) to solve this correctly.
Multiplication inside Parentheses First, we perform the multiplications inside the parentheses: 2 × 4 = 8 . So the expression becomes 3 × 9 − 8 .
Remaining Multiplication Next, we perform the remaining multiplication: 3 × 9 = 27 . So the expression becomes 27 − 8 .
Subtraction Finally, we perform the subtraction: 27 − 8 = 19 .
Finding the Correct Option The result of the expression is 19. Comparing this to the given options, we see that option A is 19. Therefore, the correct answer is A.
Examples
Understanding order of operations is crucial in many real-life scenarios, such as calculating expenses or determining the outcome of a series of actions. For instance, if you earn $3 per chore and do 9 chores, but then spend $2 on each of the 4 snacks, the expression 3 × 9 − ( 2 × 4 ) helps you calculate your remaining earnings. This concept is also fundamental in more complex calculations in finance, engineering, and computer science.