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May 1st, 2016, 03:40 AM   #1
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Confused with answer to this standard form question...

So I have an equation which I can use a calculator for, with the answer being required to be in standard form.

5.78 x 10 (to the power of -12) divided by 3.42 x 10 (to the power of -

The answer i get is 1.69005848 x10 to the power of -19.

So naturally I would write this in my answer box. Only to find out that the correct answer is 1.69005848 x 10 to the power of -4?

I don't really get why it would suddenly be power of -4 when my calculator answer reads -19

Any help would be massively appreciated
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May 1st, 2016, 04:28 AM   #2
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Quote:
Originally Posted by WarmCustard View Post
I don't really get why it would suddenly be power of -4 when my calculator answer reads -19
Looks like you haven't bracketed your two terms correctly on the calculator.

If you calculator has the capability, type it in like this,

$\displaystyle \frac{5.78 * 10^{-12}}{3.42 * 10^{-8}}$

If you can't type it like that, then make sure to use brackets correctly,

$\displaystyle (5.78 * 10^{-12}) \div (3.42 * 10^{-8})$

Last edited by Joppy; May 1st, 2016 at 04:32 AM.
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May 1st, 2016, 04:30 AM   #3
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Are you sure you have typed the question correctly? It looks like it should be $(5.78\times10^{-12})\div(3.42\times10^{-4})$.

Your calculator uses order of operations. You've probably left out a pair of brackets.
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May 1st, 2016, 04:51 AM   #4
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Ah yeah it looks like I was typing it out incorrectly on my calculator, eventually ended up with the correct answer. Thanks everyone

Although now I can't get my head around another equation.

Given that p = 4.8 x 10 to the power of 5 and q = 3.92 x 10 to the power of 7, evaluate the following correct to 3 significant figures and in standard form.

2p/q (it looks like a fraction with the q n top and the p on the bottom, but I can't type a fraction symbol)

I haven't got a clue where to start... thanks for any help

Last edited by WarmCustard; May 1st, 2016 at 04:54 AM.
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May 1st, 2016, 05:07 AM   #5
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Well, you know the values of both p and q, so you can substitute these values into the expression: 2p/q

It would look like this,

$\displaystyle \frac{2 * (4.8 * 10^5)}{(3.92*10^7)}$

Stick this in your calculator.

P.S.,

In the future, create a new thread for every question you want to ask . That way other users can easily find threads.
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May 1st, 2016, 05:15 AM   #6
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Got it, thank you very very much

And I will do next time no problem
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