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.