Question

Name the property shown by each statement. (a + 3) = a +3

Answer 1

The property shown for the statement

$1\ast(a+3)=a+3$

is the identity property of multiplication, that is

$x\cdot1=x$

because if you multiply by 1 what is inside the parentheses on the left side of the equal you get the terms to the right of the equal. Also, the identity element of the multiplication is 1, which means that any number multiplied by 1 is itself.