Estimate each sum to the nearest thousand :
`(46703+11375)`

Answer

To estimate the sum of \(46703 + 11375\) to the nearest thousand, we will follow these steps:

### Step 1: Round \(46703\) to the nearest thousand.
- Identify the digit in the hundreds place. In \(46703\), the hundreds digit is \(7\).
- Since \(7\) is greater than \(5\), we round up.
- Add \(1\) to the thousands place (which is \(6\)) and replace the hundreds, tens, and units places with \(0\).
- Therefore, \(46703\) rounds to \(47000\).

### Step 2: Round \(11375\) to the nearest thousand.
- Identify the digit in the hundreds place. In \(11375\), the hundreds digit is \(3\).
- Since \(3\) is less than \(5\), we do not round up.
- The thousands place remains \(1\) and we replace the hundreds, tens, and units places with \(0\).
- Therefore, \(11375\) rounds to \(11000\).

### Step 3: Add the rounded values.
- Now we add the rounded values:
\[ 47000 + 11000 \]
- Performing the addition:
\[ 0 + 0 = 0 \\ 0 + 0 = 0 \\ 0 + 0 = 0 \\ 7 + 1 = 8 \\ 4 + 1 = 5 \]
- Thus, the estimated sum is \(58000\).

### Final Answer:
The estimated sum of \(46703 + 11375\) to the nearest thousand is \(58000\).

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