Two numbers, $a$ and $b$, when rounded off to the nearest $100$, are $a=200$ and $b=-100$.

Question

Two numbers, $a$ and $b$, when rounded off to the nearest $100$, are $a=200$ and $b=-100$. Given that $a$ and $b$ are integers, find the smallest value of $a-b$,[1] the largest value of $a+b$,[1] the largest value of $\frac{a}{b}$.[1] Rounding convention: halfway values are rounded away from zero. Thus $-50$ rounds to $-100$, while $-150$ rounds to $-200$.

Accepted Answer

(i) $200$ (ii) $199$ (iii) $-\dfrac{150}{149}$

IP1 Class Test (May 2025) Q8

IP1 Class Test (May 2025) Q8

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