Question

I will fan and metal!! Please help! Im just stuck on this thing, and idk what to do... cx The link is down below... x3

What is the quotient written in scientific notation?

http://static.k12.com/bank_packages/files/media/mathml_0ae6d5b5b9104b6094c4e12547c78b72d9662722_1.gif

Answer 1

But please tell me how you got the answer also! Thanks a bunch! <3 <3 <3

Answer 2

first off
\[\frac{10^{20}}{10^5}=10^{20-5}=10^{15}\] right?

Answer 3

Yes.

Answer 4

ok and in decimal form
\[\frac{3}{4}=.75\] probably knew that with out a calculator

Answer 5

haha yeah

Answer 6

so a preliminary answer is
\[.75\times 10^{15}\] but that is NOT in scientific notation, so we are not done

Answer 7

Oh, yeah that's where i'm stuck. I figure that out and then its not the correct answer.

Answer 8

ok that is what i thought, just making sure everything up to
\[.75\times 10^{15}\] is ok
now is the confusing part
you have to put the decimal between the \(7\) and the \(5\) to put it in scientific notation
\[7.5\times 10^?\]

Answer 9

the question is, should be be
\[7.5\times 10^{16}\] or
\[7.5\times 10^{14}\] and the answer is
\[7.5\times 10^{14}\]

Answer 10

and the reason is because when you go from \(.75\) to \(7.5\) you have increased by a factor of 10, so you have to subtract one from the exponent to compensate

Answer 11

Oh. Well i'm glad that's all cleared up! Thank you so much! <3

Answer 12

hope it is more or less clear
yw

Answer 13

Its very clear now. :)