For x < 0, | x | = -x
The absolute value is the distance from 0 on the number line. -5 is 5 away from 0. You cannot have a negative distance, therefore you cannot have a negative absolute value. Absolute values are not ALWAYS positive because absolute values can be zero as well. Zero is not positive nor negative.
the absolute value of any number of spaces it is from 0
0 to Infinity
No. Mean absolute deviation is usually greater than 0. It is 0 only if all the values are exactly the same - in which case there is no point in calculating a deviation! The average deviation is always (by definition) = 0
For finding the absolute values, if x ≥ 0 then |x| = x if x < 0 then |x| = -x so that |x| is always ≥ 0 |x| + |y| ≥ |x + y| |x| * |y| = |x*y|
Additive opposites MUST have the same absolute values.
All numbers have opposites that are the same as their absolute values.
Yes, you can apply the distributive property in expressions involving absolute values, but it's important to consider the properties of absolute values. The distributive property states that ( a(b + c) = ab + ac ), and this can be used with absolute values, such as ( |a(b + c)| = |ab + ac| ). However, the absolute value of a sum is not necessarily equal to the sum of the absolute values, meaning ( |a + b| \neq |a| + |b| ) in general. Thus, careful attention is needed when manipulating expressions involving absolute values.
No, absolute values are always positive.
A positive and negative number with the same magnitude (value) will have their absolute values equal.
It is the mean absolute deviation.
Both absolute values and temperatures on the Kelvin scale do not have negative values. Absolute values represent the distance of a number from zero on a number line, always yielding a positive result. Similarly, temperatures on the Kelvin scale start at absolute zero, which is the lowest possible temperature with no negative values.