When two factors are are multiplied together and evaluate to the Multiplicative-Identity unity ( 1 ), each factor is a reciprocal of the other. Each is the inverse of the other. The reciprocal (inverse) function = 1/x.
Examples:
3 * ( 1/3 ) = 1
( 1/0.125 ) * ( 1/8 ) = 1
10 * 0.1 = 1
2y * ( 1/2y ) = 1
4 * 4-1 = 1
-5 * ( -1/5 ) = 1
-1 * ( -1 ) = 1, note -1 is its own inverse
Multiplication and division are reciprocal operations, times ( * ) and divide ( / ) are reciprocal operators. Addition and subtraction are reciprocal operations, add ( + ) and subtract ( - ) are reciprocal operators.
Example: If one observes the equality 5 * 6 = 30, and then compares it with the equality 30/5 = 6, one can realize that each number equation is using identical numbers, but just in different orders corresponding to the operations .
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They are the Associative Property of Multiplication, the Commutative Property of Multiplication, and the Zero Property of Multiplication.
It is called Identity Property of Multiplication
The multiplication property of equality is, as the name suggests, a property. It does not require solving!
There is no property of multiplication that transposes numbers.
The commutative property of multiplication.