What is the difference between the additive inverse of a number and its absolute value?
additive inverse is the opposite and absolute value is the distance from zero...
additive inverse + number = 0 additive inverse of 3 = -3 additive inverse of -3 = 3 absolute value = distance to 0 absolute value of 3 = 3 absolute value of -3 = 3
An additive inverse is a number to which when added to a number of the same magnitude but of different sign is zero. For example -123 opposite is 123. Another 456 opposite is -456. If you add them answer is 0. Notice that both have same magnitude (numbers) but differ in signs. Simply, to get the additive inverse just multiply the number by -1. Absolute value on the other hand is always positive. It is the distance from a point in the number axis to the origin. Whatever the sign, just get the magnitude it is the absolute value.
The additive inverse of a number is what you must add to that number to get a total of zero. eg. The additive inverse of 6 is -6, since we have to add -6 to 6 to get zero. Another example: The additive inverse of -13 is 13, since we have to add 13 to -13 to get zero. Another example: The additive inverse of 0 is 0, because 0 is the only number that can be added to 0 to get zero. As you can see, to get the additive inverse, just reverse the sign (+ to - ..or.. - to +) The absolute value of a number is that same number, but with its negative sign removed if it had one. examples: Absolute value of 6 is 6 Absolute value of -13 is 13 Absolute value of 0 is 0 SO, we can say that:The additive inverse of a number is a number with the same absolute value but opposite sign." I have spoken
