1. **Problem:** Find the product of $357.8 \times 7.35$. 2. **Formula:** Multiplication of decimals is done by multiplying as if they were whole numbers and then placing the decimal point in the product. 3. **Step-by-step:** - Ignore decimals: multiply $3578 \times 735$. - Calculate $3578 \times 735$: $$3578 \times 700 = 2,504,600$$ $$3578 \times 30 = 107,340$$ $$3578 \times 5 = 17,890$$ Sum: $2,504,600 + 107,340 + 17,890 = 2,629,830$ - Count decimal places: $357.8$ has 1 decimal place, $7.35$ has 2 decimal places, total 3. - Place decimal point 3 places from right: $2,629,830 \to 2629.830$ 4. **Answer:** $357.8 \times 7.35 = 2629.83$