Sure, let's convert the given number 0.00000000000000000000000000166 into scientific notation step-by-step.
1. Identify the Significant Figures:
The significant figures in 0.00000000000000000000000000166 are 1.66.
2. Determine the Exponent:
In scientific notation, we express a number in the form of [tex]\(a \times 10^n\)[/tex], where [tex]\(1 \leq a < 10\)[/tex] and [tex]\(n\)[/tex] is an integer.
To find the exponent [tex]\(n\)[/tex], count the number of places the decimal point must move to transform the original number into a number between 1 and 10.
In this case, the decimal point moves 27 places to the right to change 0.00000000000000000000000000166 into 1.66.
3. Compose the Scientific Notation:
Now, combine the significant figures with the exponent. So, 0.00000000000000000000000000166 can be rewritten as [tex]\(1.66 \times 10^{-27}\)[/tex].
Thus, the weight in scientific notation is:
[tex]\[1.66 \times 10^{-27}\][/tex]
