Where in your daily lives, and in which professions, do the Hindu numerals, and 0, play an important role? Class 8

Where in your daily lives, and in which professions, do the Hindu numerals, and 0, play an important role? Class 8

Question 1.

Where in your daily lives, and in which professions, do the Hindu numerals, and 0, play an important role? How might our lives have been different if our number system and 0 hadn’t been invented or conceived of? Class 8

Solution:

In that case, calculation might not be so easier and it might have put hindrance in the developments in many areas.

Question 2.

The ancient Indians likely used base 10 for the Hindu number system because humans have 10 fingers, and so we can use our fingers to count. But what if we had only 8 fingers? How would we be writing numbers then? What would the Hindu numerals look like if we were using base 8 instead? Base 5? Try writing the base-10 Hindu numeral 25 as base-8 and base-5 Hindu numerals, respectively. Can you write it in base-2? Class 8

Solution:

25 = 31 (Base 8) (3 × 81 + 1)

25 = 100 (Base 5) (1 × 5² ÷ 0 + 0)

25 = 11001 (Base 2)

(1 × 2⁴ + 1 × 2³ + 0 + 0 + 1)