How do you write 1,287,000,000 in scientific notation?

1 Answer
May 13, 2016

1,287,000,000=1.287\times10^9.

Explanation:

To put a number into scientific notation:

  1. Move the decimal point right or left until one nonzero digit is to the left of the moved decimal point. Call the number with the moved decimal point a.

  2. Count the number of places you moved the decimal point, call it n. If you moved the decimal point to the left, that is a factor of 10^n versus the original number. If you moved the decimal point to the right, that is a factor of 10^{-n}.

  3. The original number in scientific notation is a\times10^n or a\times10^{-n} depending on which way you used the decimal point.

This for 1,287,000,000 we get

a=1.287

by moving the decimal point nine places (n=9)

to the left (n has the positive sign).

Thus 1.287\times10^9.