Remainders
Summary
The content focuses on the concept of remainders in division, particularly when dividing by a number that is not a factor of the dividend, and introduces key formulas and strategies for solving GRE problems involving remainders.
- Explains the difference between mixed-numeral quotients and integer quotients when dividing numbers.
- Introduces terminology such as dividend, divisor, quotient, and remainder, emphasizing the remainder must be less than the divisor.
- Presents the formula D/S = Q + (R/S) to connect integer quotients with mixed-numeral quotients, where D is the dividend, S is the divisor, Q is the quotient, and R is the remainder.
- Discusses generating examples of dividends for a given divisor and remainder, and the importance of the 'rebuilding the dividend' formula for problem-solving.
- Highlights the application of remainders in various contexts, including the Chinese calendar, and solving complex GRE questions using the provided formulas.
Chapters
00:01
Understanding Remainders
02:17
Mixed-numeral and Integer Quotients
04:01
Terminology and Basic Concepts
06:59
Generating Examples and Rebuilding the Dividend
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