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First Fix: The "Every 4 Years" Rule
Last updated at January 28, 2026 by Teachoo
Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 4 Class 7 - Another Peek beyond the Point (Ganita Prakash II)
- Quick Recap
- Decimal Multiplication
- Is the Product Always Greater than the Numbers Multiplied?
- Figure it out - Page 73
- Decimal Division
- Division using Long Division
- Figure it out - Page 83
- Division with a Decimal Divisor
- Special Cases of Division
- Dividend, Divisor, and Quotient
- Figure it out - Page 86, 87
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Look Before You Leap!
- Figure it out - Page 93, 94, 95
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Transcript
First Fix: The "Every 4 Years" RuleTo catch up, mathematicians decided to add one extra day every four years (Leap Year). The Math: 0.2422 × 4 = 0.9688 days. By adding 1 full day (Feb 29th), we almost fix the problem. But wait! Adding a full day (1.0) when we only needed 0.9688 means we added slightly too much time (about 0.03 days too many). This is called overcompensating. How we realized it was a problem? If you add 0.0312 extra days every 4 years, After 400 years, that error grows: (400÷4) × 0.0312=𝟑.𝟏𝟐 days The calendar was 𝟑 days ahead of the Sun! So, we added another fix
