To confirm the multiplication of the decimals \(9.8710\) and \(3.44\):
First, we can multiply the numbers as if they were whole numbers:
\[ 98710 \times 344 \]
Calculating this gives:
\[ 98710 \times 344 = 33922340 \]
Next, we need to determine the total number of decimal places in the original numbers:
- \(9.8710\) has 4 decimal places.
- \(3.44\) has 2 decimal places.
Adding the decimal places together:
\[ 4 + 2 = 6 \]
Now we place the decimal point in \(33922340\) to have 6 decimal places:
\[ 33.922340 \]
Thus, the correct result of the multiplication \(9.8710 \times 3.44\) is:
\[ 33.922340 \]
So, \( (9.8710)(3.44) = 33.92234\), not \(33.956\).