Question #6753e
1 Answer
Identities are 0 for addition/subtraction, 1 for multiplication/division. See below for the others.
Explanation:
Think of "associative" as associations - who you hang out with. You can be with Friend A or Friend B. ALL together they are your FRIENDS! (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c)
"Commutative" is like commuting to work - you can go one way or the other, but you still get to the same place. This means again that the order we do the same operation (addition or multiplication) doesn't matter. a + b = b + a and a × b = b × a
The "Additive Identity" is 0, because adding 0 to a number leaves it unchanged:
a + 0 = 0 + a = a
The "Multiplicative Identity" is 1, because multiplying a number by 1 leaves it unchanged:
a × 1 = 1 × a = a
The "Zero Property of Multiplication is:
The product of zero and any number is zero. c x 0 = 0
The "Zero Product Property" says that:
If a × b = 0 then a = 0 or b = 0
(or both a=0 and b=0)
https://www.mathsisfun.com/algebra/zero-product-property.html
The "Zero Property of Addition" is really the same at the "Identity Property" of addition.
"The sum of any number and zero is the original number."
Good, easy-to-follow discussions here:
https://www.mathsisfun.com/associative-commutative-distributive.html
An excellent Identity Table is here:
http://www.onlinemathlearning.com/associative-identity-property.html
