express the following in exponential notation :
(a) 0.0030
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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Answer:
To express 0.0030 in exponential notation, we need to convert it into a number between 1 and 10 multiplied by a power of 10.
We start by counting the number of places we need to shift the decimal point to the right to make it a number between 1 and 10. In this case, we need to shift the decimal point two places to the right.
Next, we write 0.0030 as a number between 1 and 10 by moving the decimal point two places to the right: 0.0030 becomes 3.0.
Finally, we can express the number as a multiplication of 3.0 and 10 raised to the power of the number of decimal places we shifted. Since we moved the decimal point two places to the right, the exponent is 2.
Therefore, 0.0030 in exponential notation is written as 3.0 x 10^(-2).