A gap must be left for between railroad rails for thermal expansion. How much of a gap is needed if the length of a rail is $8\mathrm{.}49$ m and the maximum temperature is $41\mathrm{.}9C$ more than the temperature at which the rails were laid? The coefficient of linear expansion is $11{10}^{-6}(\frac{1}{}C).$Give your answer in meters. Use scientific notation $(1\mathrm{.}23$E$+4).$