Question

For values of x when x + 0, which number property is shown below?

Given Expression: 17x (9) = 172

A. Associative
B. Commutative
C. Multiplicative identity
D. Division property of zero

Answer 1

The number property shown in the expression 17x (9) = 172 is the Multiplicative Identity Property, where the number remains unchanged when multiplied by the identity element for multiplication, which is 1.

Step-by-step explanation:

For values of x where x + 0, the number property shown in the given expression 17x (9) = 172 aligns with the Multiplicative Identity Property. This property states that any number multiplied by 1 remains unchanged, which is similar to the property where any number multiplied by its identity element in multiplication (which is 1), retains its original value. Hence, in the expression provided, the number 17 is being multiplied by 1, through the proxy of x being 9, which is why the result is 17 itself. By identifying that 9 is functioning as the identity element for multiplication in this context, we can conclude that the correct property is Multiplicative Identity.