Question

Find the perimeter of a triangle whose sides are 2x2+3x+1 ,x2+7 & 3x2 - 2x + 3​

Answer 1

Answer:

... only how far a number is from zero:

absolute value 6 either way on number line

"6" is 6 away from zero,

and "−6" is also 6 away from zero.

So the absolute value of 6 is 6,

and the absolute value of −6 is also 6

More Examples:

The absolute value of −9 is 9

The absolute value of 3 is 3

The absolute value of 0 is 0

The absolute value of −156 is 156

No Negatives!

So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive (or zero).

Absolute Value Symbol

To show that we want the absolute value of something, we put "|" marks either side (they are called "bars" and are found on the right side of a keyboard), like these examples:

|−5| = 5 |7| = 7

Sometimes absolute value is also written as "abs()", so abs(−1) = 1 is the same as |−1| = 1

Try It Yourself

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Subtract Either Way Around

And it doesn't matter which way around we do a subtraction, the absolute value will always be the same:

|8−3| = 5 (8−3 = 5)

|3−8| = 5 (3−8 = −5, and |−5| = 5)

More Examples

Here are some more examples of how to handle absolute values:

|−3×6| = 18

Because −3×6 = −18, and |−18| = 18

−|5−2| = −3

Because 5−2 = 3 and then the first minus gets us −3

−|2−5| = −3

Because 2−5 = −3 , |−3| = 3, and then the first minus gets us −3

−|−12| = −12

Because |−12| = 12 and then the first minus gets us −12

Learn more at Absolute Value in Algebra

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Addition

Number Line