Calculate |5 - 7|: Solving an Absolute Value Expression

57= |5 - 7| =

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1

Understand the problem

57= |5 - 7| =

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Subtract 7 from 5 to find 57 5 - 7 .
  • Step 2: Determine the sign of the result from Step 1.
  • Step 3: Apply the absolute value definition to the result.

Now, let's work through each step:

Step 1: Calculate 57 5 - 7 .
57=2 5 - 7 = -2

Step 2: The result from Step 1, 2-2, is negative.

Step 3: Apply the absolute value definition. Since the result is negative, we take the opposite of 2-2:
2=2 |-2| = 2

Therefore, the solution to the problem is 2 2 .

3

Final Answer

2 2

Practice Quiz

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Determine the absolute value of the following number:

\( \left|18\right|= \)

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