Question

Explain how the zero property in the problem,2/3(0)=02/3=0 , is the same with any rational number.

Answer 1

I assume that you mean the Multiplication Property of Zero, right?

Answer 2

Yes

Answer 3

So I'm having a bit of a hard time visualizing this...is this what you're trying to say?

\(\Large\frac{2}{3} *~0 = 0~*\frac{2}{3}=0\)

Answer 4

Yep exactly :)

Answer 5

oh okay. Since the multiplication property tells us that the product of ANY number is zero. So since \(\frac{2}{3}\) is indeed a number, it can effectively be multiplied by zero to become zero. The same goes for all other real numbers.

Answer 6

Okay thanks so much!

Answer 7

no problem!