Why did multiplication in division become easier during the Gupta empire
Multiplication and division became easier during the Gupta Empire primarily due to the development and widespread use of the decimal numeral system and mathematical notation.
The decimal numeral system, which is based on the number ten, was first introduced by the Gupta mathematician, Aryabhata. This system replaced the earlier Vedic numeral system, which was cumbersome and involved the use of words and symbols for numbers. The decimal system simplified arithmetic calculations, including multiplication and division, by providing a consistent and intuitive representation of numbers.
In addition to the decimal numeral system, the Gupta mathematicians also introduced mathematical notations and symbols that made multiplication and division more straightforward. For example, the use of a dot or a small vertical line above a number indicated multiplication by ten, making it easier to perform calculations. Similarly, division was simplified with the use of vinculum, where a horizontal line was placed above the dividend and the divisor, simplifying the process of long division.
These advancements in mathematical notation and the decimal numeral system made multiplication and division more efficient and accessible, allowing for rapid calculations and accurate results during the Gupta Empire.