Question

Express the following number in scientific notation. Do NOT include unit in your answer. Please use e to refer to the power of 10. For example, 1×10^6 should be entered as 1e6, and 45×10 ^−7 should be entered as 4.5e−7. The radius of the atomic nucleus of an aluminum atom is 0.0000000000000036 m.

a) 3.6e−15
b) 3.6e−14
c) 3.6e−13
d) 3.6e−12

Answer 1

The radius of an aluminum atom's nucleus expressed in scientific notation is 3.6e-15, moving the decimal point 15 places to the right.

Step-by-step explanation:

To express the following number in scientific notation, you must move the decimal point in the number until only one non-zero digit remains to the left of the decimal point. The number given for the radius of an atomic nucleus of an aluminum atom is 0.0000000000000036 m. To convert this into scientific notation you would need to move the decimal point 15 places to the right, which gives you 3.6. Then, you write the number as 3.6 multiplied by 10 raised to the power of -15, since you moved the decimal to the right.

Therefore, the correct scientific notation for the radius of the atomic nucleus of an aluminum atom is 3.6e−15.