# How do you simplify #-|8 -2| - |1 - 6| +|3 -4| - |2 +5| #?

The absolute value of a positive number is the number itself; the absolute value of a negative number is the positive version of that number. In formulas: Just keep in mind that the absolute value always returns the positive version of the number it contains inside of it.

Let us now examine the contents of your absolute values: your equation is

Adding up and subtracting within the absolute values yields

By signing up, you agree to our Terms of Service and Privacy Policy

To simplify the expression, first evaluate each absolute value separately, then subtract the values from each other:

|-6| - |-5| + |7| - |7|

This simplifies to:

6 - 5 + 7 - 7

Then, perform the arithmetic:

6 - 5 + 7 - 7 = 1

By signing up, you agree to our Terms of Service and Privacy Policy

- How do you write the inequality and solve given "the sum of a number and -2 is no more than 6"?
- How do you solve #1 - .1y >.2#?
- Suppose two number cubes are rolled what is the probability that a sum of 12 or 11 turns up?
- How do you solve the inequality #abs(3-x)>=x-5# and write your answer in interval notation?
- How do you graph and solve #abs(x+1)<=11#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7