Alright, let's simplify the expression [tex]\( 56.7 - 19.84 \)[/tex].
### Step-by-Step Solution:
1. Align the numbers based on their decimal points to ensure that we subtract corresponding digits correctly.
[tex]\[
\begin{array}{r}
56.70 \\
- 19.84 \\
\end{array}
\][/tex]
2. Subtract the digits in the hundredths place:
[tex]\[
0 - 4 \quad \text{which is not possible, we need to borrow.}
\][/tex]
So, we need to borrow `1` from the tenths place. The `0` becomes `10` and `10 - 4 = 6`.
3. Subtract the digits in the tenths place:
[tex]\[
6 - 8 \quad \text{which is also not possible without borrowing}.
\][/tex]
So, we borrow `1` from the ones place of `56` (which then becomes `55`). The `6` becomes `16` and `16 - 8 = 8`.
4. Subtract the digits in the ones place:
[tex]\[
5 - 9 \quad \text{again, borrowing is needed}.
\][/tex]
We borrow `1` from the tens place of `55` (which then becomes `45`). The `5` becomes `15` and `15 - 9 = 6`.
5. Subtract the digits in the tens place:
[tex]\[
4 - 1 = 3.
\][/tex]
When we put it all together, we get:
[tex]\[
\begin{array}{r}
56.70 \\
- 19.84 \\
\hline
36.86 \\
\end{array}
\][/tex]
So, the simplified result for [tex]\( 56.7 - 19.84 \)[/tex] is:
[tex]\[
\boxed{36.86}
\][/tex]
