DIRECTIONS:Rewrite without using absolute the absolute value symbol.
a. (-5)|3-6|
(-5)| 3-6 |
(-5)| -3 |
(-5)(3)
= -15
To rewrite the expression (-5)|3-6| without using the absolute value symbol, we need to understand the definition of absolute value.
The absolute value of a number represents its distance from 0 on the number line. It is always positive or zero, so when we remove the absolute value symbol, we take into account the sign of the expression inside.
In this case, we start by evaluating the expression inside the absolute value symbol:
3 - 6 = -3
Since the expression inside the absolute value symbol (-3) is negative, we need to change its sign to make it positive:
-3 * -1 = 3
Now we can replace (-5)|3-6| with the equivalent expression, taking into account the adjusted sign:
(-5) * 3 = -15
Therefore, the rewritten expression without using the absolute value symbol is -15.