Rounding to the Nearest Hundred: Determining the Range of Possible Values

Rounding to the Nearest Hundred: Determining the Range of Possible Values

IP 1
TGM Original Questions

Two numbers, when rounded off to the nearest \(100\), are \(a=400\) and \(b=3600\) . Given that \(a\) and \(b\) are integers, find

  1. the largest value of \(a-b\),
  2. the smallest value of \(a+b\),
  3. the smallest value of \(a\times b\) ,
  4. the largest value of \(a\times b\),
  5. the smallest value of \(\frac{a}{b}\) ,
  6. the largest value of \(\frac{a}{b}\).

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Answer:(a) \(-3101\) (b) \(3900\) (c) \(1\,242\,500\) (d) \(1\,638\,401\) (e) \(\frac{350}{3649}\) (f) \(\frac{449}{3550}\)

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