1. What is 188 rounded to the nearest hundred?

- Create a vertical number line with endpoints and a midpoint.
- Place the number on the line.
- Reason about its rounded value.

Answer: [tex]$\qquad$[/tex]

2. Subtract these values.

Criteria For Success:
- Line up the digits by place.
- Add or subtract numbers in the same place.
- Regroup, if necessary.



Answer :

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].