0
Zero is not opposite infinity. If all opposites sum to zero than zero+infinity do not. Zero can be difined as (x-x), or two exact opposites. When dividing zero one arrives at 0/x=0 but through algebra 0(0) must = x. When zero is in a finite system (x-x)+x=x One finds that zero retains its self nullifying properties. Yet in divisions and multiplications zero takes on properties other than its own. Groups of zero, or only zero produce something, but when there is something zero keeps self nullification.
Still curious? Ask our experts.
Chat with our AI personalities
Professor
Beau
SteveAdd your answer:
Earn +20 pts
If 0 plus 0 equals 0 why is zero not its own opposite?
But it IS its own ADDITIVE opposite.
Why is 0 not its own opposite?
Zero is the middle. The neutral. There has to be something to separate the positive and the negative.
What number is its own opposite?
Zero is the only number that's its own opposite. While 0 is technically not signed (it's neither positive nor negative), it meets the definition for being its own opposite because 0 + 0 = 0.
Will the opposite of zero always or never be zero?
The opposite of zero - in the sense of additive inverse - is zero.
What is the set of a whole number and their opposite?
Apart from zero (which is its own opposite), the opposites of whole numbers are also whole numbers. You have the set of whole numbers which is also known as the set of integers.
