Decimal Multiplication 003A16

1. The problem involves calculating the products of given numbers: $61.6 \times 0.00102$ and $74.15 \times 0.0020$.\n\n2. We use the multiplication formula for decimals: multiply the numbers as if they were integers, then place the decimal point in the product according to the total number of decimal places in the factors.\n\n3. Calculate $61.6 \times 0.00102$:\n\n$$61.6 \times 0.00102 = 61.6 \times \frac{102}{100000} = \frac{61.6 \times 102}{100000}$$\n\n4. Multiply numerator: $61.6 \times 102 = 6283.2$.\n\n5. Divide by denominator: $$\frac{6283.2}{100000} = 0.062832$$\n\n6. Calculate $74.15 \times 0.0020$:\n\n$$74.15 \times 0.0020 = 74.15 \times \frac{20}{10000} = \frac{74.15 \times 20}{10000}$$\n\n7. Multiply numerator: $74.15 \times 20 = 1483$.\n\n8. Divide by denominator: $$\frac{1483}{10000} = 0.1483$$\n\n9. Final answers:\n\n$61.6 \times 0.00102 = 0.062832$\n\n$74.15 \times 0.0020 = 0.1483$