The approximate distance to the sun is 93,000,000 miles, and the wavelength of its ultraviolet light is 0.000035 centimeters. How do you write both numbers in scientific notation?

1 Answer
Jan 1, 2016

Answer:

Try moving the point left or right to change it into an exponent of #10#:

Explanation:

For the distance we move the decimal point (ideally placed after the last zero) to the left and count the movements that will be used as exponent of #10#.
So we get:
#9.3color(red)(000000)#
So we moved the point #6# places (to pass the zeros) plus one to pass the #3# and we write:
#9.3×10^7#miles.

In the second case you do basically the same but moving the point to the right giving a NEGATIVE exponent of #10#.
Try by yourself you should get:
#3.5×10^-5#cm.