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189259
RATIONAL NUMBERS
Description
Mind Map on RATIONAL NUMBERS, created by Nicolas Lopez on 03/09/2013.
Mind Map by
Nicolas Lopez
, updated more than 1 year ago
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Created by
Nicolas Lopez
about 11 years ago
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Resource summary
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
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
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
Multiplying Rational Numbers
if a/b and c/d are rational numers, then
a/b . c/d = ac/bd
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
Definition of division
If a and b are real numers, b =/= 0, then
a/b = a . 1/b
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