Write each number in scientific notation.

1.) 169,254,700,125


2.) 728


3.) 0.06753


Please explain how to figure each one so I can do them on my own.


Thank you

In scientific notation, you have a 1-digit number, then a decimal, then all the other numbers following it, and lastly you have 10 raised to a certain power.

I'll give you examples:
100 in scientific notation is ; 1.00 \times 10^2
0.12 in scientific notation is ; 1.2 \times 10^{-1}

See what I've done? I tried to make the first number be between 0 and 10, exclusive. Then, I put a certain power to the 10. In the first example, 10^2 is 100, that times 1 give 100, so that's good! In the second example, 10^-1 is 1/10, so 1.2* 1/10 is 0.12, it's good too!

Basically, in my head, I divide 100 by 10^2 which gives 1, then I put 10^2.
I multiply the second one by 10 (or divide by 10^-1) to give 1.2, then put 10^-1

Two last examples;
368163265 = 3.68163265 \times 10^8
0.000541 = 5.41 \times 10^{-4}

Now try your problems, and post your answer. :)

In my head, I just move decimal places the number of places as the exponent. Positive ones go one direction and negative ones go the other direction. Which direction you're going depends on if you're going to or coming from the scientific notation.