the only absolute value would be 4, as the absolute value is the space that the number is away from zero. Both positive and negative four would equal four.
On the other hand, if the negative sign was outside the absolute value ( -|4| ), then the number would be negative.
All numbers have opposites that are the same as their absolute values.
Absolute deviation from what?
An absolute value doesn't have 2 answers. It isn't even a question. It's always positive.
It is the mean absolute deviation.
NO! abs(2-2)=0 NOT equal to abs(2)+abs(-2)=4 - The above is technically correct, though the more thorough answer is as follows; no because the absolute value of the sum is LESS THEN OR EQUAL TO the sum of the absolute values. The simple proof the the fact that |A+B|<=|A|+|B| is called the triangular inequality. When A and B (or for that matter an infinite number of them) are both positive (or all) or both negative (or all) then they inequality is actually equal, if however any of the numbers have different signs then any other number, the inequality is less then.
The sum of absolute values refers to the total obtained by taking the absolute value of each number in a set and then adding those values together. The absolute value of a number is its distance from zero on the number line, regardless of direction, meaning it is always non-negative. For example, for the set {-3, 4, -1}, the sum of absolute values would be |−3| + |4| + |−1| = 3 + 4 + 1 = 8. This concept is often used in mathematics and statistics to analyze data without regard to sign.
Absolute values are essentially used for the magnitude (distance) to zero of a number. They are represented by a number inside a vertical bar (e.g., |2|) E.g.'s: | 2 | = 2 (the absolute value of 2 is equal to 2) | -4 | = 4 (the absolute value of -4 is 4) In terms of rational numbers, it just means to hold the fraction. Rational numbers can be written in a/b (fraction) form. E.g.'s: | 1+2/3 | = 1+2/3 (the absolute value of one and two thirds is equal to one and two thirds) | -1-2/3| = 1+2/3 (the absolute value of -1 minus 2/3 is equal to 1 and 2/3.
Addition and subtraction involving absolute values focuses on the distance of numbers from zero, regardless of their sign. When you add or subtract absolute values, you first calculate the absolute values of the numbers involved and then perform the arithmetic. For example, |3| + |−5| equals 3 + 5 = 8, while |−7| − |4| equals 7 − 4 = 3. However, when performing operations without first taking absolute values, the result may differ based on the signs of the numbers involved.
Additive opposites MUST have the same absolute values.
All numbers have opposites that are the same as their absolute values.
The absolute value of a number is a positive number. For example the absolute value of -2 is 2. The absolute value of 4 is 4. So the absoulte value of 25 is 25.
Absolute deviation from what?
An absolute value doesn't have 2 answers. It isn't even a question. It's always positive.
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.
absolute moral values and behavioral or cultural values