Convert 0.0113 to scientific notation. What is the correct value for X if expressed as X × 10⁻²?

To convert the number 0.0113 into scientific notation, you start by expressing it as a product of a number between 1 and 10 and a power of 10. In this case, you move the decimal point in 0.0113 two places to the right to get 1.13. Moving the decimal point two places to the right means you are effectively dividing by (10^2) (or multiplying by (10^{-2})) to maintain the equivalence of the number.

Thus, 0.0113 can be rewritten as:

1.13 × (10^{-2})

In this format, the coefficient (the number that is multiplied by the power of ten) is 1.13. Therefore, when comparing this to the format X × (10^{-2}), it is clear that the correct value for X is 1.1300.

This corresponds perfectly with option C, which reflects the correct scientific notation conversion. The other potential options do not provide the accurate coefficient needed for the scientific notation of the original number.