1. **State the problem:** A video has $4 \times 10^8$ views in total, and 3% of these views are from Italy. We need to find how many views come from Italy and express the answer in standard form. 2. **Formula used:** To find a percentage of a quantity, use the formula: $$\text{Part} = \frac{\text{Percentage}}{100} \times \text{Total}$$ 3. **Calculate the number of views from Italy:** $$\text{Views from Italy} = \frac{3}{100} \times 4 \times 10^8$$ 4. **Simplify the multiplication:** $$= 3 \times 4 \times \frac{1}{100} \times 10^8 = 12 \times \frac{1}{100} \times 10^8$$ 5. **Rewrite $\frac{1}{100}$ as $10^{-2}$:** $$= 12 \times 10^{-2} \times 10^8$$ 6. **Combine powers of 10:** $$= 12 \times 10^{8 - 2} = 12 \times 10^6$$ 7. **Express in standard form:** Standard form requires a number between 1 and 10 multiplied by a power of 10. $$12 \times 10^6 = 1.2 \times 10^1 \times 10^6 = 1.2 \times 10^{7}$$ **Final answer:** $$\boxed{1.2 \times 10^{7}}$$ views are from Italy.