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Integer Properties
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 GMAT problems involving remainders.
- Explains the difference between dividing by a factor and a non-factor, introducing mixed-numeral and integer quotients.
- Defines key terms such as dividend, divisor, quotient, and remainder, emphasizing the remainder must be less than the divisor.
- Presents the formula to connect integer quotient and mixed-numeral quotient, highlighting the importance of understanding the non-integer part of the quotient.
- Discusses generating examples of dividends for a given divisor and remainder, and the application of remainders in various contexts.
- Introduces the 'rebuilding the dividend' formula as a crucial problem-solving tool for GMAT questions.
Chapters
00:00
Understanding Remainders
02:20
Mixed-numeral and Integer Quotients
04:01
Key Terminology and Formulas
06:58
Generating Examples and Rebuilding the Dividend
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