How do you convert 0.0032 into scientific notation?

2 Answers
Jul 11, 2015

3.2xx10^-33.2×103

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:
0.00320.0032
0003.20003.2 you made 3 moves:
=3.2xx10^-3=3.2×103

Jul 11, 2015

3.2xx10^(-3)3.2×103

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 -33 means that I moved the decimal 33 places to the right, and that the number 0.00320.0032 is smaller than the number 3.23.2 by 10^3103.