Examkin

Question

Difficulty: EasyOrder of Operations and Number Properties

What is the value of the expression 5−3×(4−6)25 - 3 \times (4 - 6)^2?

  1. A
    8
  2. B
    17
  3. -7Answer
  4. D
    -31
  5. E
    65

Answer

The correct value is −7-7.
The correct value is −7-7. Following the order of operations (PEMDAS), we evaluate the terms inside the parentheses first: 4−6=−24 - 6 = -2. Next, we evaluate the exponent: (−2)2=4(-2)^2 = 4. After that, we perform the multiplication: 3×4=123 \times 4 = 12. Finally, we perform the subtraction: 5−12=−75 - 12 = -7.

Step-by-Step Solution

1
Evaluate the subtraction inside the parentheses.
4−6=−24 - 6 = -2
Operations inside parentheses must be performed first.
2
Evaluate the exponent.
(−2)2=4(-2)^2 = 4
Exponents are evaluated after parentheses and before multiplication or division.
3
Perform the multiplication.
3×4=123 \times 4 = 12
Multiplication must be performed before subtraction.
4
Perform the final subtraction.
5−12=−75 - 12 = -7
Subtraction is performed last in this expression.

Key Concept

Order of Operations
Estimated Time:45s
Rate this question

Topics

Order of Operations and Number Properties

More questions from this topic