Estimate to the nearest `10,000(4,500,982,344)/(5.042xx10^(4))`'

Answer

To solve the problem of estimating \(\frac{4,500,982,344}{5.042 \times 10^4}\) to the nearest 10,000, we can follow these steps:

### Step 1: Simplify the Division
First, we need to perform the division of the two numbers. We can rewrite the division as follows:

\[ \frac{4,500,982,344}{5.042 \times 10^4} = \frac{4,500,982,344}{5.042} \times \frac{1}{10^4} \]

### Step 2: Calculate \(\frac{4,500,982,344}{5.042}\)
Now, we will calculate the division:

\[ \frac{4,500,982,344}{5.042} \approx 891,000,000 \]

### Step 3: Adjust for the Power of 10
Since we divided by \(10^4\) (which is 10,000), we need to adjust our result:

\[ 891,000,000 \div 10,000 = 89,100 \]

### Step 4: Round to the Nearest 10,000
Now we need to round \(89,100\) to the nearest 10,000. The nearest multiples of 10,000 around \(89,100\) are \(80,000\) and \(90,000\).

To determine which one is closer, we look at the thousands place:

- The thousands digit is \(9\), which is greater than \(5\).
- Therefore, we round up.

So, \(89,100\) rounded to the nearest 10,000 is:

\[ 90,000 \]

### Final Answer
Thus, the estimated value of \(\frac{4,500,982,344}{5.042 \times 10^4}\) to the nearest 10,000 is:

\[ \boxed{90,000} \]

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