1. **State the problem:** Calculate the sum of $1.13 \times 10^{6}$ and $6.8 \times 10^{3}$ and write the answer in scientific notation. 2. **Recall the rule:** To add numbers in scientific notation, they must have the same exponent. 3. **Rewrite the numbers with the same exponent:** $$1.13 \times 10^{6} = 1.13 \times 10^{6}$$ $$6.8 \times 10^{3} = 0.0068 \times 10^{6}$$ 4. **Add the coefficients:** $$1.13 + 0.0068 = 1.1368$$ 5. **Write the sum in scientific notation:** $$1.1368 \times 10^{6}$$ 6. **Round the answer if needed:** Usually, scientific notation is written with 3 significant figures, so: $$1.14 \times 10^{6}$$ 7. **Final answer:** $$\boxed{1.14 \times 10^{6}}$$