Final answer:
Number 5.14 x 10^-27 (Option A) has the smallest magnitude because it has the smallest exponent in scientific notation among the given choices.
Step-by-step explanation:
To find which of the following numbers has the smallest magnitude, we examine the exponent in each case of scientific notation. Smaller exponents indicate a smaller magnitude when the base of the exponent is 10. The list provided is:
- A. 5.14 x 10^-27
- B. 4.65 x 10^-19
- C. 2.87 x 10^-16
- D. 5.29 x 10^-7
The number with the smallest exponent (and therefore the smallest magnitude) is 5.14 x 10^-27 (Option A).