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Difficulty: EasyOrder of Operations

Which of the following represents the correct evaluation of the mathematical expression given below?

−10+4×(6−8)-10 + 4 \times (6 - 8)
  1. -18Answer
  2. B
    12
  3. C
    -2
  4. D
    18

Answer

-18
The correct evaluation requires solving the parentheses first to obtain −2-2. Next, multiplying 44 by −2-2 yields −8-8. Finally, adding −8-8 to the initial −10-10 results in −18-18.

Step-by-Step Solution

1
Evaluate the expression inside the parentheses.
6−8=−26 - 8 = -2
According to the order of operations, operations enclosed in parentheses must be completed first.
2
Perform the multiplication.
4×(−2)=−84 \times (-2) = -8
Multiplication takes precedence over addition.
3
Perform the final addition.
−10+(−8)=−18-10 + (-8) = -18
Addition is the only remaining operation.

Key Concept

Order of Operations
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Topics

Order of Operations

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