How do you simplify #–(–8)#?

2 Answers
Sep 9, 2015

#-(-8) = +8#

Explanation:

The negative of a negative is a positive.

Maybe this example will help(???)

Suppose Joe withdraws $8 from his bank account every week (and has done so for years ever since he inherited a substantial sum). This is the only activity that occurs in this account and Joe's bank allows its customers to overdraw their accounts (i.e. have a negative balance).

Suppose that this week Joe's balance had reached zero (#$0#); next week (i.e. in #1# week his balance will be #-8# dollars; in 2 weeks from now, his balance will be #2xx(-8) = -16# dollars; and so on.

The question is what was Joe's bank balance 1 week before now. We are looking at a week that is #-1# relative to now, when his balance was #(-1)xx(-8)# or equivalently #-(-8) = +8# dollars.

Sep 9, 2015

This is a bit tricky....

Explanation:

Think of it as a debt...of a debt!
You owe me #$8#, so you come to me to give me #$8# and become poorer or "not have" #$8# which can be written as a "hole" into your wallet of #-8#...BUT I am a good guy and I do not care about the debt I put a minus and tell you: "forget about the debt"...so you go away with #$8#....or #-(-8)=+8# into your wallet.

Hope it is not confusing...!