Estimate the sum `(274+143)` to the nearest hundred.

Options

A. `200`
B. `300`
C. `400`
D. `500`

Answer

To estimate the sum of \(274 + 143\) to the nearest hundred, we will follow these steps:

### Step 1: Identify the numbers
We have two numbers: \(274\) and \(143\).

### Step 2: Round \(274\) to the nearest hundred
- Look at the last two digits of \(274\), which are \(74\).
- Since \(74\) is greater than \(50\), we round \(274\) up to the nearest hundred.
- Therefore, \(274\) rounds to \(300\).

### Step 3: Round \(143\) to the nearest hundred
- Look at the last two digits of \(143\), which are \(43\).
- Since \(43\) is less than \(50\), we round \(143\) down to the nearest hundred.
- Therefore, \(143\) rounds to \(100\).

### Step 4: Add the rounded numbers
Now, we add the rounded values:
\[ 300 + 100 = 400 \]

### Conclusion
The estimated sum of \(274 + 143\) to the nearest hundred is \(400\).

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