Write a number that when rounded to the nearest thousand is 47000 and when rounded to the nearest hundred thousand is 500000

1 answer

To find a number that, when rounded to the nearest thousand, is 47,000 and when rounded to the nearest hundred thousand, is 500,000, we can analyze the rounding rules.

  1. Rounding to the nearest thousand: To round to 47,000, the number must be between 46,500 and 47,499 (inclusive).

    • This is because:
      • 46,500 rounds up to 47,000
      • 47,499 rounds down to 47,000
  2. Rounding to the nearest hundred thousand: To round to 500,000, the number must be between 450,000 and 549,999 (inclusive).

    • This is because:
      • 450,000 rounds up to 500,000
      • 549,999 rounds down to 500,000

Now, we need to find the overlap of these ranges:

  • From rounding to the nearest thousand: 46,500 to 47,499
  • From rounding to the nearest hundred thousand: 450,000 to 549,999

Clearly, a number within the range of 46,500 to 47,499 cannot satisfy the condition of being between 450,000 and 549,999 because it is much smaller.

Hence, it is not possible to find a number that meets both criteria simultaneously. If you need a single number, please check the constraints or specify different rounding requirements.