1. **State the problem:** We need to multiply 3.338 by 2.074. 2. **Recall the multiplication rule:** To multiply two decimal numbers, multiply them as if they were whole numbers, then place the decimal point in the product. The number of decimal places in the product is the sum of the decimal places in the factors. 3. **Count decimal places:** - 3.338 has 3 decimal places. - 2.074 has 3 decimal places. - Total decimal places = 3 + 3 = 6. 4. **Multiply as whole numbers:** $$3338 \times 2074$$ Calculate: $$3338 \times 2074 = 6922012$$ 5. **Place the decimal point:** Since total decimal places are 6, place the decimal point 6 digits from the right: $$6.922012$$ 6. **Final answer:** $$3.338 \times 2.074 = 6.922012$$