if a = b, then ac = bc. this is called the ________ ________ of equality. (2 words)
The truth value of an equation does not change, when we multiply both sides of the equation by the same value.
For example
\(3=3\)
The truth value is True
Then, multiplying both sides by 2, gives
\(2(3)=2(3)\)
\(\Rightarrow 6=6\)
This statement is still True.
This property of real numbers is called the Multiplication property of equality.