Examkin

Question

Difficulty: EasyOrder of Operations

What is the evaluated result of the arithmetic expression below?

(−3)2−4×(−2)(-3)^2 - 4 \times (-2)
  1. A
    -10
  2. B
    -1
  3. C
    1
  4. 17Answer

Answer

17
Following the proper order of operations, the exponent is evaluated first to yield 9. Next, multiplying 4 by -2 gives -8. Finally, subtracting -8 from 9 results in 9 + 8, which equals 17.

Step-by-Step Solution

1
Evaluate the exponent (−3)2(-3)^2.
9
According to the order of operations, exponents must be resolved before multiplication and subtraction.
2
Perform the multiplication 4×(−2)4 \times (-2).
-8
Multiplication takes precedence over subtraction.
3
Subtract the result of the multiplication from the result of the exponent.
17
Subtracting a negative number is equivalent to adding its positive counterpart (9−(−8)=9+8=179 - (-8) = 9 + 8 = 17).

Key Concept

Order of Operations with Integers
Rate this question

Topics

Order of Operations

More questions from this topic