Identity means "that which stays the same". If you move, or grow, many things about you stay the same even though you address or your height may change. Those things stay identical.
If you get something that's identical, you get something that's the same. An extra picture can be identical to a first picture.
In math an identity element is a number that, when used with a stated operation, gets you the same thing.
Zero is the identity element for addition because when you add 0 to any number, you get the same thing:
97 + 0 = 97 and 2z + 0 = 2z
One is the identity element for multiplication becasue when you multiply any number by 1, you get the same thing: 86 times 1 = 86 and 7b times 1 = 7b
An additive inverse, when added to a first number, gets you 0, the identity element for addition
4 plus -4 = 0, so -4 is the additive inverse of 4
A multiplicative inverse, when multiplied by a first number, gets you 1, the identity element for multiplication
4 times 1/4 = 1, so 1/4 is the multiplicative inverse of 4
An additive inverse is a also an opposite, since you change sign to get it
4 becomes its additive inverse, or opposite, by changing sign to -4
A multiplicative inverse is also a reciprocal,since you flip a numerator and a denominator to get it
4 becomes its multiplicative inverse, or reciprocal by flipping from 4/1 to 1/4
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