All numbers have opposites that are the same as their absolute values.
opposites, additive inverses
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.
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
A positive and negative number with the same magnitude (value) will have their absolute values equal.
If the signs are the same, add the absolute values and keep the sign. If the signs are different, subtract the lesser absolute value from the greater absolute value and keep the sign of the number with the greater absolute value.
Adding integers, if they have the same sign, add their absolute values and keep the same sign. Subtracting, change the sign of the 2nd number and the add using rules of addition. Multiplying and dividing, Divide the absolute values, if the signs are the same the answer is positive, if the signs are different the answer is negative.
The sum of the absolute values of two numbers is greater or equal than the absolute values of the sum. It will be equal if both are positive or both are negative; greater if one is positive and one is negative. Try it out with some sample numbers!
The word that is opposite of "same" is different.(Same and opposite are also opposites.)