Question

What is the quotient written in scientific notation?

Answer 1

\[\frac{ 6x10^{24} }{ 8x10^{8} }\]

Answer 2

how do i do this?

Answer 3

\[ \frac{6}{8}=0.75\]
\[ \frac{10^{24}}{10^8}=10^{16}\]

So you have \(0.75\times 10^{16}\)
But you need one digit between 1 and 9 in scientific notation, so shift the decimal over, as a result you decrease the exponent by 1 (because shifting the decimal is like multiplying by 10)
Hence: \(7.5\times 10^{15}\)

Answer 4

what do you mean by shift the decimal?

Answer 5

For example, if you have:
\(0.05\)

If you shift the decimal to the right once you get
\(0.5\)

And doing so again, you get:
\(5\)

Now, if you wanna write 0.05 using 5 as the number before the decimal (5 is essential 5.0), then you need to multiply by the appropriate factors of 10:

\(0.05 = 5\times 10^{-2}\) since you moved the decimal twice.

Answer 6

ty!

Answer 7

np