Rational Numbers
Additive And Multiplicative Identities For Rational Numbers
Additive Identity
In basic arithmetic, the additive identity is the number 0... Because you can ADD 0 to any number and that number keeps its identity (it stays the same).
Example: 5 + 0 = 5
Multiplicative Identity
In basic arithmetic, the multiplicative identity is the number 1... Because you can MULTIPLY 1 to any number and that number keeps its identity (it stays the same).
Example:3 x 1 = 3
Let us now look at an example based on this concept.
Example:
Fill in the blanks.
i.

ii.

iii.

Solution:
i.
(By property of multiplicative identity)
(By property of multiplicative identity)
ii.
(By property of additive identity)
(By property of additive identity)
iii.
(By property of multiplicative identity)
(By property of multiplicative identity)