# Thread: Simple re-arrangement fo formula

1. ## Simple re-arrangement fo formula

Hello Folks,

I need to re-arrange this formula and im not sure if i am going about it the right way, can someone please help me.

My first thing to do would be to multiply both sides by 1000 and then multiply both sides by T.

Is this correct, do i treat the (4.302 x 10^-3) as a single entity?

so the result would be

T = 4.302 x 10^-3 x 1000

Thanks.

Edit: Is 4.302 x 10^-3 a single entity as it is standard form?

and should i work it out in my calculator like

1000 x (4.302 x 10^-3)??

Thanks again

2. Originally Posted by liam41
Hello Folks,

I need to re-arrange this formula and im not sure if i am going about it the right way, can someone please help me.

If you're solving for T, simply cross multiply (you have a proportion here)

$T=1000(4.302)(10^{-3})$

$T=10^3(10^{-3})(4.302)$

$T=10^0(4.302)$

$T=1(4.302)$

$T=4.302$

3. at the risk of sounding like a complete idiot, well theres no risk, i do. I dont understand your answer, a proportionate?

I'm sorry, I've not done maths in a long while and this has kinda been sprung on me.

Your solution seems a lot different to mine, could you explain it?

I was more wondering if i had A technique, even tho it may not necessarily be the best.

thank you.

4. Originally Posted by liam41
at the risk of sounding like a complete idiot, well theres no risk, i do. I dont understand your answer, a proportionate?

I'm sorry, I've not done maths in a long while and this has kinda been sprung on me.

Your solution seems a lot different to mine, could you explain it?

I was more wondering if i had A technique, even tho it may not necessarily be the best.

thank you.
You had exactly the same thing as I did. I just went after it a bit differently. A proportion is simply two fractions that are equivalent to each other.

If $\frac{a}{b}=\frac{c}{d}$, then $bc=ad$

That's the same as my first step with a little arranging. All these terms are factors, so you can move them around all you like. For example abc=cba=bca=acb = and so on. I did change the 1000 to 10^3 so you could see how it reacted when we multiplied by 10^-3.

10^3 times 10^-3 = 10^0 because you add the exponents. And 10^0 is the same as 1. So, in essence, you are multiplying 4.302 by 1.