Subtract and estimate `489342 - 48365.`

Options

A. `4,41,000`
B. `4,41,0070`
C. `4,48,000`
D. `5,41,000`

Answer

To solve the problem of subtracting `489342 - 48365` and estimating the result, we can follow these steps:

### Step 1: Round the numbers for rough estimation
- Round `489342` to the nearest lakh (100,000).
- Round `48365` to the nearest ten thousand (10,000).

**Calculation:**
- `489342` rounded to the nearest lakh is `500000`.
- `48365` rounded to the nearest ten thousand is `50000`.

### Step 2: Subtract the rounded numbers
Now, we subtract the rounded values:
- `500000 - 50000 = 450000`.

### Rough Estimate Result:
The rough estimate of `489342 - 48365` is `450000`.

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### Step 3: Round the numbers for a closer estimate
- Round `489342` to the nearest thousand (1,000).
- Round `48365` to the nearest thousand (1,000).

**Calculation:**
- `489342` rounded to the nearest thousand is `490000`.
- `48365` rounded to the nearest thousand is `48000`.

### Step 4: Subtract the rounded numbers
Now, we subtract these rounded values:
- `490000 - 48000 = 442000`.

### Closer Estimate Result:
The closer estimate of `489342 - 48365` is `442000`.

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### Summary of Results:
- Rough Estimate: `450000`
- Closer Estimate: `442000`

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