Given a = 4 and b = -2, evaluate -|b - a|.
Given a = 4 and b = -2, we can evaluate the expression -|b - a| as follows:
First, we need to find the value of |b - a|:
|b - a| = |-2 - 4| = |-6| = 6
Now, we can substitute this value back into the expression:
-|b - a| = -6
To evaluate the expression -|b - a|, we need to substitute the given values of a and b and follow the order of operations.
Given a = 4 and b = -2, let's substitute these values into the expression:
-|(-2) - 4|
First, let's simplify the expression inside the absolute value:
(-2) - 4 = -6
Now, let's proceed with the absolute value:
|-6|
The absolute value of -6 is 6, so the expression simplifies to:
-6
Therefore, the value of -|b - a|, when a = 4 and b = -2, is -6.
To evaluate the expression -|b - a|, we need to substitute the given values of a = 4 and b = -2.
First, we find the value of b - a:
b - a = -2 - 4 = -6
Next, we take the absolute value of -6:
|-6| = 6
Finally, we multiply the result by -1:
-|b - a| = -6
Therefore, the value of -|b - a| when a = 4 and b = -2 is -6.