1. The problem is to multiply two decimal numbers and place the decimal point correctly in the product. 2. The rule for multiplying decimals is: multiply the numbers as if they were whole numbers, then count the total number of decimal places in both factors combined. The product will have that many decimal places. 3. Let's solve the first problem: $12.8 \times 9.6$. 4. Ignore decimals and multiply $128 \times 96$: $$128 \times 96 = 12288$$ 5. Count decimal places: $12.8$ has 1 decimal place, $9.6$ has 1 decimal place, total $1 + 1 = 2$. 6. Place decimal point 2 places from the right in $12288$: $$122.88$$ 7. Therefore, $12.8 \times 9.6 = 122.88$. This method applies to all decimal multiplication problems. Final answer for the first problem: $122.88$.