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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 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