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oliver said, \to the nearest hundred, ive attended school for 600 days …

Question

oliver said, \to the nearest hundred, ive attended school for 600 days of my life!\ write three numbers that could be the actual number of days oliver has attended school.
choose the correct answer below.
a. 582, 567, 836
b. 574, 582, 567
c. 836, 760, 778
d. 882, 582, 567

Explanation:

Step1: Understand Rounding to Nearest Hundred

When rounding to the nearest hundred, we look at the tens and ones digits. A number rounds to 600 if it is in the range $550 \leq n < 650$ (because numbers from 550 to 649 round to 600 when rounding to the nearest hundred).

Step2: Check Each Option

  • Option A: 582 (rounds to 600), 567 (rounds to 600), 836 (rounds to 800) → 836 is invalid.
  • Option B: 574 (rounds to 600), 582 (rounds to 600), 567 (rounds to 600) → All in $550 - 649$ range.
  • Option C: 836 (rounds to 800), 760 (rounds to 800), 778 (rounds to 800) → All invalid.
  • Option D: 882 (rounds to 900), 582 (rounds to 600), 567 (rounds to 600) → 882 is invalid.

Answer:

B. 574, 582, 567