To solve the subtraction problem [tex]\(96.34 - 65.4\)[/tex], we can follow these steps:
1. Align the Numbers by Decimal Point:
Write the numbers vertically, aligning the decimal points.
[tex]\[
\begin{array}{r}
96.34 \\
-65.40 \\
\hline
\end{array}
\][/tex]
2. Subtract the Decimal Parts:
Subtract the numbers to the right of the decimal point first. Here, you have [tex]\(4\)[/tex] (from [tex]\(5.40\)[/tex]) subtracted from [tex]\(34\)[/tex] (from [tex]\(96.34\)[/tex]).
[tex]\[
96.34 - 65.40 = (96.34 - 65.00) - 0.40
\][/tex]
Subtract [tex]\(4\)[/tex] from [tex]\(34\)[/tex] in the decimal places:
[tex]\[
34 - 40 \quad \text{Borrow 1 from the units place, making it } 30 + 10 \Rightarrow 34 - 4 = -0.4
\][/tex]
3. Subtract the Whole Numbers:
Now subtract the whole numbers part. Since [tex]\(96\)[/tex] is larger than [tex]\(65\)[/tex], we subtract directly:
[tex]\[
96 - 65 = 30
\][/tex]
4. Combine the Results:
Combine the subtraction results of both parts (whole and decimal):
[tex]\[
30.94 - 0.4 \quad \text{Removing decimal point} = 0.4 \Rightarrow 30.4 \Rightarrow 30.939999999999998
\][/tex]
Thus, the result of [tex]\( 96.34 - 65.4 \)[/tex] is:
[tex]\[
\boxed{30.939999999999998}
\][/tex]
