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What is the value of the expression |a + b| + |c| when a = –3, b = 7, and c = –15?
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|| means the distance from zero, which means the number itself except absolute value is always positive, so add a and b, then if that's negative just make it positive and add it to the distance between c and 0 and add
does that make sense?
l-3 + 7l + l-15l
absolute values are positive.....so first, what is -3 + 7 ??
-3 + 7 = 4
so now we have :
| 4 | + | -15 |......so the absolute value of 4 is 4.....and the absolute value of -15 is 15 (because absolute values are positive even when they say negative. So now your problem just becomes : 4 + 15 = ?? .....any guesses now ?
i think it is b
no.....what is 4 + 15 ? that is your answer
do you see how we got : | 4 | + | -15 | ??
even when the absolute value says -15....it is still positive because absolute values are positive. So the problem becomes 4 + 15 ....and that is equal to 19.
any questions ?
you cannot treat absolute value signs the same as parenthesis.
Glad to help :)