Rounding Transitional Reasoning Download PDF

Questions

1. 1.

   A publishing company stores books in identical cartons that each hold 15 books. When the total count of books in a storage bay is rounded to the nearest hundred, the recorded estimate is 1,400 books. If the storage bay contains only completely filled cartons, what is the difference between the greatest possible number and the least possible number of cartons in the bay?

   • A) 6
   • B) 7
   • C) 5
   • D) 8
2. 2.

   An eco-friendly student club collected a total of 2,320 aluminum cans over three weeks. When the number of cans collected in each individual week was rounded to the nearest hundred, each week rounded to 800 cans. If a different whole number of cans was collected each week, what is the greatest possible number of cans that could have been collected in any single week?

   • A) 849
   • B) 835
   • C) 820
   • D) 819
3. 3.

   A logistics company logs the weight of cargo containers in whole kilograms, rounding each value to the nearest 100 kg for its shipping manifest. On a recent manifest, Container X is recorded as 800 kg and Container Y is recorded as 1,300 kg. Based on these recorded values, what is the greatest possible difference between the actual weight of Container Y and the actual weight of Container X?

   • A) 401 kg
   • B) 500 kg
   • C) 599 kg
   • D) 600 kg
4. 4.

   A community library logged its total number of visitors during a festival week. When rounded to the nearest hundred, the visitor count is 1,500, and when rounded to the nearest ten, it is 1,480. If the sum of the digits of this four-digit count is 19, which of the following is the exact number of visitors?

   • A) 1,475
   • B) 1,479
   • C) 1,484
   • D) 1,477