How do you convert 0.0032 into scientific notation?

2 Answers
Jul 11, 2015

Answer:

#3.2xx10^-3#

Explanation:

Move the point to the right and count the movements. Stop after the 3, eliminate the zeroes, take the remaining digits and include a power (negative->movement to the right) of ten corresponding to the number of movements:
#0.0032#
#0003.2# you made 3 moves:
#=3.2xx10^-3#

Jul 11, 2015

Answer:

#3.2xx10^(-3)#

Explanation:

The premise of scientific notation is that you skip all those "extra zeroes" and go straight to the non-zero digits. However, that means that you do have to state how many zeroes you moved the decimal over.

The number #-3# means that I moved the decimal #3# places to the right, and that the number #0.0032# is smaller than the number #3.2# by #10^3#.