Final answer:
To evaluate XY=|-7-(-5)|, subtract -5 from -7 and take the absolute value of the result.
Step-by-step explanation:
To evaluate the expression XY=|-7-(-5)|, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). Let's simplify the expression step-by-step:
- First, resolve the inner parentheses: -7 - (-5) = -7 + 5 = -2.
- Next, take the absolute value of -2: |-2| = 2.
Therefore, XY = 2.
To find the value of XY, we perform the operation inside the absolute value, which is |-7-(-5)|. We first change the double negative into a positive according to the rule that subtracting a negative is the same as adding a positive. So, our expression becomes |-7+5| which simplifies to |-2|.
The absolute value of -2 is 2 because absolute value measures the distance from zero on a number line without considering direction. Hence, the value of XY is 2, an integer.