so is 1/2 a = b then 2b = a. What property of equality is that? My choices are Addition property, division property, subtraction property, and multiplication property.

Question

anonymous · Answer

well what do you have to do to each side to get from:
$$\frac{1}{2}a=b$$ to $$a=2b$$

anonymous · Answer

I am not sure, that is my problem. :c

anonymous · Answer

ahh well let's go through the choices ok?

anonymous · Answer

Okay! c;

anonymous · Answer

so first addition...what do we have to add to b to make it 2b?

anonymous · Answer

we would add another b

anonymous · Answer

yes! but did we add a b to the other side aka the side with the 1/2a?

anonymous · Answer

no. we took one away.

anonymous · Answer

well actually no we added 1/2a right? Because 1/2a plus 1/2a = a. Does this make sense?

anonymous · Answer

Well, i thought that if we halfed the a that equaled one b so in order to get one a we had to double the b's

anonymous · Answer

that's completely correct!

anonymous · Answer

and if we are "doubling" what operation are we doing?

anonymous · Answer

Multiplication...
but i thought that it was division with the a...

anonymous · Answer

hence why I am confused.

anonymous · Answer

ahhh hmmm...let me think

anonymous · Answer

so you are saying to get from 1/2a to a. We are dividing?

anonymous · Answer

OHHH
no!

anonymous · Answer

okay so it would be mulitiplication?

anonymous · Answer

yes! that's right! Because we are multiply both sides by 2 to get 1/2a --> a and b -->2b. Does this make sense?

anonymous · Answer

*multiplying

anonymous · Answer

Wooo, thank you for actually explaining this to meee.

anonymous · Answer

no problem, glad I could help :)