Scientific Notation help!
is this correct? 684654754987 = 6.84 x 10^11

Question

anonymous · Answer

Make sure you include every single decimal point. 

6,846,547,549,987 = 6.846547549987 x 10^11

anonymous · Answer

Actually, its  6.846547549987 x 10^12

anonymous · Answer

oh no, you added an extra 9 in the 49^87

anonymous · Answer

but anyways what if we round to 2 decimal places? then what?

anonymous · Answer

Oh, whoops. If you round to two decimals places then it would be 6.85 x 10^11.

anonymous · Answer

ok thanks and just one more question. Would you know anything about powers of powers? I searched online and couldn't find anything.

anonymous · Answer

So, if you have a number, A, taken to a power 'm' to the power 'n', you could have something like this:$$(A ^{m})^{n}= A ^{mn}$$
You multiply m*n then take A to that new power.

anonymous · Answer

For example, if you have (3^2)^3 that equals 3^(2*3) = 3^6

anonymous · Answer

Ah okay i learned that thanks! and also you know the special rule to round with 5 and the even rule?

anonymous · Answer

what if 5 was NOT the last number, however was the second digit after the decimal, and we would have to round to the first decimal place, would we just round normally, or make that number an even number?

anonymous · Answer

Yes, say you have 6.75 and you want to round it, look at the hundredths place. Since that number is >= 5, then you round up. So it would be 6.8.

If it was 6.74, for example, 4 is not >= to 5, so you would round down. It would become 6.7.

anonymous · Answer

In general, look at the place you want to round at (usually the tenths or hundredths place). If that number is >= 5, then round up. If not, round down.