Question

what is:
(2.4*10^-4)/(3.0*10^7)
Please can you do this in dividing standard form with the working out.

Answer 1

is that 2.4 to the 10 power

Answer 2

?

Answer 3

or 2.4 times 10?

Answer 4

\(\bf \large{ \cfrac{2.4\times10^{-4}}{3.0\times 10^7}\\ \quad \\
\textit{keep in mind that }\quad a^{-n} = \cfrac{1}{a^n}\\ \quad \\
\cfrac{2.4\times10^{-4}}{3.0\times 10^7}\implies \cfrac{2.4\times \frac{1}{10^4}}{3.0\times 10^7}\implies \cfrac{\frac{2.4}{10^4}}{3.0\times 10^7}\implies\cfrac{\frac{2.4}{10^4}}{\frac{3.0\times 10^7}{1}}\\ \quad \\
\textit{recall that }\quad \cfrac{\frac{a}{b}}{\frac{c}{d}} \implies \cfrac{a}{b}\times\cfrac{d}{c}\\ \quad \\
\implies \cfrac{\frac{2.4}{10^4}}{\frac{3.0\times 10^7}{1}} \implies \cfrac{2.4}{10^4}\times \cfrac{1}{3.0\times 10^7}
}\)

Answer 5

^^^

Answer 6

ryanvarghese1279 dunno, what does that give you?

Answer 7

\(\bf \cfrac{2.4}{10^4}\times \cfrac{1}{3.0\times 10^7}\implies\cfrac{2.4}{3.0\cdot 10^7\cdot10^4}
\)

Answer 8

sooo... what would that give you?

Answer 9

Using the way I have been taught at school I get 8*10 to the power of -4

However, the worksheet says it is 8 * 10 to the power of -12


which is right?

Answer 10

recall the exponential rule of \(\Large a^n \times a^m = a^{n+m}\)

Answer 11

I am doing standard form

Answer 12

yes, doing all that I get my answer

Answer 13

hmm

Answer 14

so....

Answer 15

\(\bf \cfrac{2.4}{10^4}\times \cfrac{1}{3.0\times 10^7}\implies\cfrac{2.4}{3.0\cdot 10^7\cdot10^4}\\
2.4\cdot \cfrac{1}{3.0}\cdot \cfrac{1}{10^{11}}\implies 2.4\cdot 3^{-1}\cdot 10^{-11}\)

Answer 16

well... 2.4 * 3 isn't 8... so... not sure on that one

Answer 17

its divide 2.4 by 3.0.
then change it t standard form which would be 8.0 * 10 to the power of -1

Answer 18

ohhh I see.. yes, it's

Answer 19

so... now what do i do? I need this urgently

Answer 20

\(\bf 2.4\cdot \cfrac{1}{3.0}\cdot \cfrac{1}{10^{11}}\implies \cfrac{2.4}{3.0}\cdot \cfrac{1}{10^{11}}\implies 0.8\cdot 10^{-11}\\ \quad \\
8\cdot10^{-1}\cdot10^{-11}\implies 8\cdot 10^{-12}\)

Answer 21

what does "." mean decimal point?

Answer 22

ohh... the dot notation? times

Answer 23

k

Answer 24

cause the question is divison; wouldn't you have to divide 2.4 by 3.0

Answer 25

and 10^4-10^7?

Answer 26

yes you would....
so... what part confuses you?

Answer 27

the sudden move from dividing to multiplying

Answer 28

you mean this part => \(\bf 2.4\cdot 3^{-1}\cdot 10^{-11}\)

Answer 29

well, the lovely site, as usual lately, went down for a bit

anyhow , so, yes, you're correct, that was a mistake of mine....
it'd have ended up in a division either way, they shouldn't multiply since the base is different... just wasn't looking

but yes \(\bf 2.4\cdot 3^{-1}\cdot 10^{-11}\implies \cfrac{2.4}{3}\cdot 10^{-11}\)

Answer 30

sorry it took me this long to reply... but I got extremely lagged, then the site went down for a few, and ended up doing an errand