The additive property states that any number added to zero will equal it's original number.A + 0 = A6 + 0 = 6
It's the Identity Property of Zero.
It will be the same as the original number.
A natural number is doubled when added to its reciprocal. Find that number!
That is the Identity property (Additive Identity, in this case). x + 0 = x = 0 + x Any number added to zero results in the original number. There is a Multiplicative Identity (for multiplication, as you may have guessed) that used the number 1. x * 1 = x = 1 * x Any number multiplied by one results in the original number.
Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0) Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0)
Zero is an additive identity element. That means that any number added to zero gives the original number, such as: 3 + o = 0 + 3 = 3, or more generally a + 0 = 0 + a = a
The relevant property is the closure of the set of rational numbers under the operation of addition.
The inverse property says that a number, n, is added to its opposite, -n This is how it is used: n+(-n)=0
it means adding that much more value to the original number