Concept:Squaring a decimal means multiplying the number by itself. Significant figures are counted starting from the first non-zero digit.
Explanation:Compute the square:
0.092=0.09×0.09.
This equals
0.0081.
For 4 significant figures, begin counting from the non-zero digit 8.
Count the digits:
8,
1,
0,
0.
So write two extra zeros after
0.0081 to show four significant figures:
0.008100.
In standard form, this is
8.100×10−3.
Numerically, this is the same as option C,
0.0081.
Answer:Option C:
0.0081 (correctly written as
0.008100 to 4 significant figures).