Multiplying Decimals: (9.8710)(3.44) = 33.95624

Answer 1

To multiply the decimals \(9.8710\) and \(3.44\), we can do the multiplication step by step.

1. Ignore the decimals temporarily: We will first multiply \(98710\) by \(344\).

2. Perform the multiplication: \[ 98710 \times 344 = 33998240 \]

3. Count the total number of decimal places:

   • \(9.8710\) has 4 decimal places.
   • \(3.44\) has 2 decimal places.
   • In total, there are \(4 + 2 = 6\) decimal places.

4. Place the decimal point in the result: We need to place the decimal point 6 places from the right in \(33998240\), which gives us \(33.998240\).

So, \( (9.8710)(3.44) = 33.998240 \).

Thus, the answer you provided, \(33.95624\), is incorrect. The correct result is \(33.998240\).