1.

If characteristic of three numbers a, b and c and5, -3 and 2, respectively, then find the maximum number of digits in N = abc.

Answer»


Solution :ACCORDING to the given information,
` log a = 5+p`
` log B =- 3+ q`
` log c = 2 + r`
where p,q and r are mantissas.
`:.P,q,r in [0, 1)`
Adding the above equations, we get
` log(abc) = 4 + (p+q+r)`
` (p+q+r) in [0, 3)`
` :. log (abc) in [4, 7)`
`rArrlog N in [4, 7)`
` :. ` MAXIMUM possible characteristic oflog N = 6
`:. ` Maximum number of DIGITS in `N = 6 +1 = 7`


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