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Question

Difficulty: EasyProperties of Integers
Evaluate the following mathematical expression:
∣−12∣−(−4)×2|-12| - (-4) \times 2
Which of the following is the correct calculated value?
  1. A
    3232
  2. B
    44
  3. C
    −4-4
  4. 2020Answer

Answer

The correct result of the expression is 2020.
Following the order of operations, first evaluate the absolute value: ∣−12∣=12|-12| = 12. Next, perform the multiplication: −4×2=−8-4 \times 2 = -8. Finally, perform the subtraction: 12−(−8)12 - (-8). Since subtracting a negative number is the same as adding a positive number, the expression becomes 12+8=2012 + 8 = 20.

Step-by-Step Solution

1
Evaluate the absolute value
∣−12∣=12|-12| = 12
Absolute value represents the distance from zero on a number line, so it is always non-negative.
2
Perform the multiplication
−4×2=−8-4 \times 2 = -8
According to the standard order of operations (PEMDAS), multiplication must be performed before subtraction.
3
Subtract the product from the absolute value result
12−(−8)=12+8=2012 - (-8) = 12 + 8 = 20
Subtracting a negative integer is mathematically equivalent to adding its positive counterpart.

Key Concept

Applying the order of operations (PEMDAS), evaluating absolute values, and following integer sign rules.
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Topics

Properties of Integers

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