Estimate the sum `(21397+27807+4505)` to the nearest thousand.

Options

A. `72000`
B. `82000`
C. `54000`
D. `99000`

Answer

To estimate the sum of the numbers \(21397\), \(27807\), and \(4505\) to the nearest thousand, we will follow these steps:

### Step 1: Round off \(21397\) to the nearest thousand.
- Look at the hundreds place, which is \(3\).
- Since \(3\) is less than \(5\), we do not change the thousands place.
- Therefore, \(21397\) rounds off to \(21000\).

### Step 2: Round off \(27807\) to the nearest thousand.
- Look at the hundreds place, which is \(8\).
- Since \(8\) is greater than \(5\), we add \(1\) to the thousands place.
- Therefore, \(27807\) rounds off to \(28000\).

### Step 3: Round off \(4505\) to the nearest thousand.
- Look at the hundreds place, which is \(5\).
- Since \(5\) is equal to \(5\), we add \(1\) to the thousands place.
- Therefore, \(4505\) rounds off to \(5000\).

### Step 4: Add the rounded numbers together.
- Now we add the rounded numbers:
\[ 21000 + 28000 + 5000 \]
- First, add \(21000\) and \(28000\):
\[ 21000 + 28000 = 49000 \]
- Next, add \(5000\):
\[ 49000 + 5000 = 54000 \]

### Final Result:
The estimated sum of \(21397 + 27807 + 4505\) to the nearest thousand is \(54000\).

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