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A Story of Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSA Story of Numbers5 Marks
Question
What could be the difficulties with using a number system that counts only in groups of a single particular size? How would you represent a number like 1345 in a system that counts only by 5s?
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Answer

The difficulties with using a number system that counts only in groups of a single particular size are :
(i) Numbers that are not multiples of 5 cannot be directly represented and need a way to handle the remainder after grouping in 5 s .
(ii) Representing large numbers might need a large number of symbols or steps, which is time-consuming and inefficient.
(iii) Operations like addition, subtraction, or especially division and multiplication become more complex with fixed-size groupings.
$1345 \div 5=269 \text { remainder } 2 .$
So :
$1345=5 \times 269$
In a system that only counts in 5s, you would show:
269 groups of 5 with 0 leftover.

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