Certainly! Let's solve each part step by step.
### 1.) What is 188 rounded to the nearest hundred?
To round 188 to the nearest hundred, follow these steps:
#### Create a vertical number line:
- Endpoints: The nearest hundreds below and above 188 are 100 and 200, respectively.
- Midpoint: Calculate the midpoint between 100 and 200, which is 150.
So the vertical number line looks like this:
[tex]\[
\begin{array}{c}
200 \\
| \\
| \\
| \\
\text{188 here} \quad \leftarrow \text{closer to 200} \\
| \\
| \\
| \\
150 \\
| \\
| \\
| \\
100 \\
\end{array}
\][/tex]
#### Place the number on the line and determine its rounded value:
- 188 lies between 150 (the midpoint) and 200.
- Since 188 is greater than 150, it is closer to 200 than to 100.
Therefore, 188 rounded to the nearest hundred is 200.
### 2.) Subtract these values:
We need to subtract 4725 from 5832.
#### Line up the digits by place and perform the subtraction:
[tex]\[
\begin{array}{r}
\phantom{1}5832 \\
-4725 \\
\hline
\phantom{1}1107 \\
\end{array}
\][/tex]
Let's break it down digit by digit:
- Units place: 2 - 5 = -3, but since we can't have a negative digit, we borrow from the tens place.
- Tens place: 3 (actually 4 because borrowing makes it 13) - 2 = 1.
- Hundreds place: 8 (7 after borrowing on previous step) - 7 = 1.
- Thousands place: 5 - 4 = 1.
The result of 5832 - 4725 is 1107.
So, summarizing:
1. [tex]\(188\)[/tex] rounded to the nearest hundred is [tex]\(200\)[/tex].
2. The subtraction of [tex]\(4725\)[/tex] from [tex]\(5832\)[/tex] is [tex]\(1107\)[/tex].
