The Division Algorithm PowerPoint PPT Presentation

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Title: The Division Algorithm


1
The Division Algorithm
  • a q ? b r 0 ? r lt b
  • q quotient
  • r remainder
  • a dividend
  • b divisor
  • Note a ? b q (r/b)

2
Property of Division of Rational Numbers
  • Closure
  • If a and b are any two rational numbers, then
  • a ? b is a unique rational number.

Property of Division of Real Numbers
  • Closure
  • If a and b are any two real numbers, then
  • a ? b is a unique real number.
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