Question 5 - Page 130 - Digital Roots - Chapter 5 Class 8 - Number Play (Ganita Prakash)

Transcript

Question 5 - Page 130 I’m made of digits, each tiniest and odd, No shared ground with root #1 — how odd! My digits count, their sum, my root — All point to one bold number’s pursuit — The largest odd single-digit I proudly claim. What’s my number? What’s my name?Let’s look at the lines one-by-one Line 5: "The largest odd single-digit I proudly claim." The single digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The largest odd one is 9. Key Clue: The "bold number" mentioned in the riddle is 9. Now, let's look at the riddle from the start to find the main number: Line 1: "I’m made of digits, each tiniest and odd," What is the tiniest (smallest) odd number? It is 1. This tells us the number is made entirely of the digit 1 repeating (like 11, 111, etc.). Line 2: "No shared ground with root #1—how odd!" "Root #1" refers to the square root of 1, which is just 1. The number 1 is a perfect square. The riddle is saying this number is not a perfect square (it has "no shared ground" or property with 1). The number 111,111,111 is not a perfect square, so this fits. Line 3: "My digits count, their sum, my root—" "My digits count": If we use the "bold number" (9) from earlier, it means the number has 9 digits. So, the number is nine 1s: 111,111,111. "Their sum": If you add the digits together (1+1+1+1+1+1+1+1+1), the answer is 9. "My root": This refers to the Digital Root. In math tricks, if you keep adding the digits of a number until one is left, that is the digital root. The digital root of this number is 9. Line 4: "All point to one bold number’s pursuit—" The Count (9), the Sum (9), and the Root (9) all point to that "bold number" we found earlier: 9. Line 5: "The largest odd single-digit I proudly claim." As established, this confirms number everything points to is 9. Line 6: "What’s my number? What’s my name?" Number: 111,111,111 Name: One hundred eleven million, one hundred eleven thousand, one hundred eleven.