Question 4 of 58intermediate🔧 ApplyShort Answer3 marks

Ancient Indians used the joints of their fingers to count, a practice still seen today. Each finger has 3 joints, and the thumb is used to count them. How many can you count on one hand? How does this relate to the ancient base-12 counting systems?

Correct Answer

(i) You can count up to 12 on one hand.

(ii) This relates to the base-12 counting system because each of the 4 fingers has 3 joints. By using the thumb to touch each joint, a person can count 12 units on a single hand. This physical method naturally established 12 as a foundational unit, leading to the ancient base-12 counting systems.

Exercise: EXERCISE SET 3.1 | Q: *4 | (Page 3)
For More Understanding

Explanation

The question requires calculating the total joints on the four fingers (4 x 3 = 12) and connecting this to the base-12 system. Since the thumb is used as the pointer, the four fingers each provide three joints, totaling 12 countable units on one hand. This anatomical counting method directly relates to why ancient cultures developed a base-12 system.

Solution Steps

  1. Step 1: Identify the number of fingers used for their joints (4 fingers, as the thumb is used to count).

  2. Step 2: Multiply the number of fingers by the number of joints per finger: 4 x 3 = 12.

  3. Step 3: Relate the total count of 12 on one hand to the establishment of a base-12 counting system.