Scientific Notation help?

Question

Can someone help me express these in scientific notation?

I've tried several times so please be detailed and explain how you got the answer. Thanks!!

1. 514,000
2. 0.000345
3. 5280
4. 2,398,730,000,000
5. 0.00000000000999

HELP!

Answer 1

Simply, you must put a dot between the first and the second number, avoid the first and second number to be zero, then multiply it by 10^(x), where "x" is the number of "steps" if you used, you'll return to the original place !
1. 514000 = 5.14 x 10^(5).
2. 0.000345 = 3.45 x 10^(-4).
3. 5280 = 5.2 x 10^(3).
4. 2,398,730,000,000 = 2.39873 x 10^(12).
5. 0.00000000000999 = 9.9 x 10^(-12).
Goodluck.

Answer 2

this is my trick..

note 1) Every scientific notation HAS to be converted to a decimal number between 0-9.

so for question 1 you would convert 514,000 to 5.14. I like to think that the number of units you moved from the original decimal is a frog leap.

so for the same question: 514,000 is the same as 514,000. 0 which means that I have taken 5 leaps from that decimal point to get to 5.14

note 2) okay, now you have 5.14 but you took 5 leaps and leaps to the left are positive

ANSWER: 5.14 x 10^5

TEST IT: Now if you want to test it then just take 5 leaps forward and you end up with the original number (514,000)

It's the opposite for question 5 -

to get 9.99 we're taking 12 leaps forward which means 10^ -12 so scientific notation is 9.99 x 10^-12

Answer 3

5.14 x10 5 ...the have is little next to the 10
3.45 x 10-4
5.28 x 10 3
2.39873 x 10 12
9.99 x 10-12




this is a scientific notation calculator
http://www.hostsrv.com/webmab/app1/MSP/quickmath/02/pageGenerate?site=quickmath&s1=numbers&s2=scientific_notation&s3=basic

http://www.nyu.edu/pages/mathmol/textbook/scinot.html