Because "absolute value" only refers to how far a number is away from zero.
Thus -1 and 1 are both one away from zero. And -100 and 100 are both one hundred away from zero.
Yes.
Additive opposites MUST have the same absolute values.
The absolute value is always non-negative. So, the absolute values of zero and positive integers are the same as the numbers. However, the absolute values of negative integers are their additive inverses or additive opposites (or positive equivalents).Thus, for example, abs(-3) = +3
X and Y have the same absolute value because the opposite of a number doesn't change its distance from zero. The absolute value of a number represents its distance from zero on the number line, and since X and Y are opposites, they have the same distance from zero.
The answer depends on the operation. The absolute value of 2/3 is not the same as the absolute value of 3/2! It does work for subtraction, though.
All numbers have opposites that are the same as their absolute values.
yes
The absolute value of the answer is the difference between the absolute values of the two numbers and the sign associated with it is the same as that of the number with the greater absolute value.
Yes.
Additive opposites MUST have the same absolute values.
The absolute value is always non-negative. So, the absolute values of zero and positive integers are the same as the numbers. However, the absolute values of negative integers are their additive inverses or additive opposites (or positive equivalents).Thus, for example, abs(-3) = +3
It is impossible. The absolute value is always positive.
opposites, additive inverses
The absolute value of a number is its distance from zero (0) on a ... When addressed with this you must treat the absolute value brackets as you would ... Your last step once you have a single number inside the absolute value ... value, the distance is the same if you switch the order of the two numbers.
If 2 numbers are different, but have the same absolute value, then one is the opposite of the other. Any number plus its opposite equals zero.
If two numbers have the same absolute value, and the two numbers are not the same number, then the two numbers are negatives of each other. Or you could say that they have the same magnitude, but opposite signs. Example: |-5| = |5| = 5
X and Y have the same absolute value because the opposite of a number doesn't change its distance from zero. The absolute value of a number represents its distance from zero on the number line, and since X and Y are opposites, they have the same distance from zero.