3(100 - 10) - (20 - 5) What is the value of the expression?
3(100 - 10) - (20 - 5) evaluates to 255.
To solve the expression, we first simplify the components: 100 - 10 equals 90, and 20 - 5 equals 15. Then, substituting these values into the expression gives us 3 × 90 minus 15, which equals 270 - 15, resulting in 255.
Calculating to 245 would imply that the expression was miscalculated. If we subtract 15 from 270, we should arrive at 255, not 245. This choice reflects an error in the arithmetic steps of the evaluation.
This is the correct answer, as previously detailed. The expression simplifies correctly to 3(90) - 15, which equals 270 - 15, giving us the value of 255.
Choosing 265 suggests an incorrect operation after calculating 270 - 15. The arithmetic error likely stems from either adding instead of subtracting or miscalculating the intermediate steps of the expression.
To arrive at 275 would indicate a miscalculation in multiplying or subtracting. The correct arithmetic process shows that 3(90) results in 270, and the subsequent subtraction of 15 leads to 255, not 275.
The evaluation of the expression 3(100 - 10) - (20 - 5) demonstrates that careful arithmetic is crucial for accurate results. The correct calculation leads us to 255, highlighting the importance of following order of operations and ensuring each step is executed correctly to avoid common pitfalls in arithmetic evaluations.
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