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The identity property for addition is that there exists an element of the set, usually denoted by 0, such that for any element, X, in the set,
X + 0 = X = 0 + X
Similarly, the multiplicative identity, denoted by 1, is an element such that for any member, Y, of the set,
Y * 1 = Y = 1 * Y
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Properties in math?
the distributed property,commmutative properties of addition and multiplication,Associative properties of addition and multiplication,additive identity, multiplicative identity.
How are the identity properties of multiplication and addition different?
To start with, the identity element of multiplication is 1, that of addition is 0.
What are the identity elements for the addition and multiplication of rational numbers?
For addition, 0 and for multiplication, 1.
Does the set of irrational numbers with the usual addition and multiplication form a field?
Strictly speaking, no, because the identity for addition 0, and the identity for multiplication, 1 are not irrationals.
How are the identity properties of multiplication and addition similar?
Multiplication is simply a shortcut for repeated addition of the same number.For example, 4 x 2 is the same as 2 + 2 + 2 + 2(two added to itself, four times).
