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A whole number N rounds to 500 when rounded to the nearest hundred, and also rounds to 450 when rounded to the nearest fifty (where 425-474 -> 450 and 475-524 -> 500).
How many whole numbers N satisfy both conditions?

Class 6Estimation and RoundingNumbers
  • A50
  • B25
  • C23
  • D27

Step-by-Step Solution

Rounds to 500 (nearest hundred): N from 450 to 549. Rounds to 450 (nearest fifty): N from 425 to 474. The overlap is 450 to 474, which is 474 - 450 + 1 = 25 numbers.
Answer: B) 25

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