Question

express the following in exponential notation :
(a) 0.0030

Answer 1

Here is the rule to follow.
1. Move the decimal to the immediate right of the first digit other than a zero. In this case that is 3.0

2. Add x 10. In this case that would make it 3.0 x 10

3. Count the number of places from the original placement of the decimal to the new placement. In this case that is 3 (from 0.0030 to 3.0).

4. Add the number of places as an exponent of the 10. If you moved right the exponent is -; if you moved left the exponent is +. In this case you moved right 3 places so that is 3.0 x 10-3.

0.0030 is 3.0 x 10-3 or 3.0E-10

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