write a number that rounds to 47,000 when rounded to the nearest thousand and to 50,000 when rounded to the nearest ten thousand.

To find a number that rounds to 47,000 when rounded to the nearest thousand and to 50,000 when rounded to the nearest ten thousand, we need to follow these steps:

1. Understand the rounding rules:
- When rounding to the nearest thousand, we look at the digit in the hundreds place. If it's 5 or greater, we round up; otherwise, we round down.
- When rounding to the nearest ten thousand, we look at the digit in the thousands place. If it's 5 or greater, we round up; otherwise, we round down.

2. Start with a number that has zeros in the digit we'll be rounding to. In this case, we'll choose the thousands digit.

3. Increment the number by 5000 to make the rounding to the nearest ten thousand equal to 50,000.

4. Check if the rounded value to the nearest thousand is 47,000. If not, increment the number by 1000 and repeat step 4 until we find the correct number.

Now, let's follow these steps to find the number:

Starting number: 40,000
Rounding to the nearest thousand: 40,000 rounds down to 40,000 (not 47,000)

Increment by 1000:
41,000
Rounding to the nearest thousand: 41,000 rounds down to 41,000 (not 47,000)

Increment by 1000:
42,000
Rounding to the nearest thousand: 42,000 rounds down to 42,000 (not 47,000)

...

Increment by 1000:
47,000
Rounding to the nearest thousand: 47,000 rounds to 47,000 (success!)

To round to the nearest ten thousand, we need to check the next increment:
47,000 + 5000 = 52,000

Rounding to the nearest ten thousand: 52,000 rounds down to 50,000 (success!)

Therefore, the number that rounds to 47,000 when rounded to the nearest thousand and 50,000 when rounded to the nearest ten thousand is 47,000.

47,100

45,000