Question

If x>100 then the absolute value of
|X-100| is ?​

Answer 1

Answer:

SYMBOL |x| denotes the absolute value of x, which is the number without its sign. |+3| = 3. |−3| = 3. We could say that the absolute value of a number is its purely arithmetical value.

Here is the algebraic definition of |x|:

If x ≥ 0, then |x| = x;

if x < 0, then |x| = −x.

That is, if x is non-negative: |3|, then the absolute value is the number itself.

If x is negative: |−3|, then the absolute value is its negative; that makes the absolute value positive.

Geometrically, |x| is the distance of x from 0.

absolute value

Both 3 and −3 are a distance of 3 units from 0. |3| = |−3| = 3. Distance, in mathematics, is never negative.

Answer 2

Answer:

The absolute value of a number can be thought of as the distance of that number from 0 on a number line.

The absolute value of 9 is 9 written | 9 | = 9

The absolute value of -9 is 9 written | -9 | = 9

The absolute value of 0 is 0 written | 0 | = 0

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