189259
Description
Mind Map by Nicolas Lopez, updated more than 1 year ago
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Created by Nicolas Lopez
over 10 years ago
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RATIONAL NUMBERS
- Is a quotient of two integers, with denomiator not 0 xlx
- Fundamental porperty of rational
numbers
- If a, b, and k are integers with b =/= 0 and k =/=, then
- a.k / b.k = a/b
- a.k / b.k = a/b
- If a, b, and k are integers with b =/= 0 and k =/=, then
- Cross-product test for equality
of Rational Numbers
- For Rational Numbers a/b and
c/d. b =/= 0. d =/= 0. Then
- a/b = c/d if and only if a.d = b.c
- a/b = c/d if and only if a.d = b.c
- For Rational Numbers a/b and
c/d. b =/= 0. d =/= 0. Then
- Adding and substracting Rational Numbers
- If a/b and c/d are rational numbers then
- a/b + c/d = ad+ba/bd and a/b - c/d = ad - bc/ bd
- a/b + c/d = ad+ba/bd and a/b - c/d = ad - bc/ bd
- If a/b and c/d are rational numbers then
- Multiplying Rational Numbers
- if a/b and c/d are rational numers, then
- a/b . c/d = ac/bd
- a/b . c/d = ac/bd
- if a/b and c/d are rational numers, then
- Dividing Rational Numbers
- If a/b and c/b are rational numbers, where c/d =/= 0, then
- a/b / c/d = a/b . d/c = ad/bc
- a/b / c/d = a/b . d/c = ad/bc
- If a/b and c/b are rational numbers, where c/d =/= 0, then
- Fundamental porperty of rational
numbers
- Definition of division
- If a and b are real numers, b =/= 0, then
- a/b = a . 1/b
- a/b = a . 1/b
- If a and b are real numers, b =/= 0, then
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