Multiplying Decimals: (1.003)(2.4) = 2.4072

Answer 1

To multiply the decimals 1.003 and 2.4, let's perform the multiplication step by step.

1. Ignore the decimals for now and multiply the numbers as if they were whole numbers: \[ 1003 \times 24 = 24072 \]

2. Count the total number of decimal places in the original numbers:

   • 1.003 has 3 decimal places.
   • 2.4 has 1 decimal place.
   • Total = 3 + 1 = 4 decimal places.

3. Place the decimal in the result: From the multiplication result of 24072, we need to place the decimal point to give us 4 decimal places: \[ 24072 \rightarrow 2.4072 \]

Therefore, the correct result of multiplying \( (1.003)(2.4) \) is \( 2.4072 \). Your initial calculation was correct.