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Question 3 - Page 130 - Digital Roots - Chapter 5 Class 8 - Number Play (Ganita Prakash)
Last updated at January 8, 2026 by Teachoo
Class 8 (Ganita Prakash - 1, 2 & Old NCERT)
Chapter 5 Class 8 - Number Play (Ganita Prakash)
- Sum of Consecutive Numbers
- Parity of Arithmetic & Algebraic Expressions
- Pairs to Make Fours
- Factors and Multiples
- Always, Sometimes, or Never
- What Remains?
- Figure it out - Page 122, 123
- Divisibility Rules - 2, 5, 10 and 3
- Shortcut for Divisibility by 9
- Figure it out - Page 126
- Shortcut for Divisibility by 11
- Divisibility Shortcuts for Other Numbers
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Digital Roots
- Figure it out - Page 131
- Digits in Disguise
- Figure it out - Page 132, 133, 134
Transcript
Question 3 - Page 130 Now, find the digital roots of some consecutive multiples of (i) 3, (ii) 4, and (iii) 6.(i) Multiples of 3: Multiples of 3 are 3, 6, 9, 12, 15, 18... Digital Roots: 3, 6, 9, 3, 6, 9... (It repeats this pattern). Notice: The pattern is a repeating cycle of 3, 6, 9 (ii) Multiples of 4: Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44... Digital Roots: 4, 8, 3, 7, 2, 6, 1, 5, 9, 4, 8... (It cycles through all digits in a mixed order). Notice: The pattern is a repeating cycle of 4, 8, 3, 7, 2, 6, 1, 5, 9 (iii) Multiples of 6: Multiples of 6 are 6, 12, 18, 24, 30, 36... Digital Roots: 6, 3, 9, 6, 3, 9... (It repeats this pattern). Notice: The pattern is a repeating cycle of 6, 3, 9
