Rounding twice versus rounding once

Rounding twice versus rounding once

IP 1
7 marks
  1. Round \(1347\) to the nearest \(10\), then round that answer to the nearest \(100\). Compare the result with rounding \(1347\) directly to the nearest \(100\).[2]
  2. Find all the whole numbers \(N\), with \(100<N<200\), for which the two procedures in part (a) give different results. Explain your answer.[3]
  3. How many whole numbers from \(1\) to \(999\) give different results under the two procedures?[2]

Solution:

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Answer:(a) \(1347\to1350\to1400\), but directly \(1300\) (b) \(N=145,146,147,148,149\) (c) \(50\)

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