this is the third time iam asking..please help!!
Write in Scientific and Decimal Notation (3.16x10^3)(24x10^2)

Question

anonymous · Answer

7.58X10^6

anonymous · Answer

can u explain how to do it? i have a final coming up and i needa know all of this

anonymous · Answer

significant figuresdasdaerasdsfda

mertsj · Answer

For a number to be in scientific notation, it has to have two factors.  The first factor must be between 1 and 10 and the second factor must be a power of 10.

anonymous · Answer

i still dont understand

mertsj · Answer

So when you multiply those two numbers you get 75.84 x 10^5

anonymous · Answer

ohhhhh...so thts the answer in scientific notation! then whadda bout decimal?

mertsj · Answer

That is not scientific notation because 75.84 is not between 1 and 10.

anonymous · Answer

oh...umm..

mertsj · Answer

To make it between 1 and 10 we have to move the decimal point 1 place to the left making it 7.584

anonymous · Answer

First you have to consider the number of significant digits, you go by the term with the lowest amount of significance (24x10^2 in this case has 2 significant digits).
Then its a simple matter of multiplication...
To convert from scientific notation to decimal notation, you move the decimal place by the amount indicated on the power. (ie, 1x10^2 becomes 100) 
To go from decimal notation to scientific notation you figure out how many times you must multiply by 10 to reach a point where the number before the decimal is between 1 and 10.

anonymous · Answer

$$(3.16\times 10^3)(24\times 10^2)=3.16\times 24\times 10^{3+2}$$
$$=75.84\times 10^5=75.85\times 100000=7585000=7.54\times 10^6$$\]

mertsj · Answer

However we have no right to change the answer so we have to fix what we just did and the way to fix it is to make the exponent 1 greater

mertsj · Answer

So now the second factor is 10^6  and our final answer is 7.584 x 10^6

anonymous · Answer

ohh...okay :D thanks everybody