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Rational Numbers - Coggle Diagram
Rational Numbers
Closure Property
Integers
Addition
A + B = Integer........
Subtraction
A - B = Integer........... r
Multiplication
A x B = Integer.............
Division
A / B ≠ Integer......
Whole Numbers
Addition
A + B = Whole number........
Subtraction
A - B ≠ Whole number............
Multiplication
A x B = Whole Number...............
Division
A / B ≠ Whole Number............
Rational Numbers
Addition
A + B = Rational number..........
Subtraction
A - B = Rational number............
Multiplication
A x B = Rational Number..............
Division
A / B ≠ Rational Number............ 2/0 ≠ Rational number
Associative Property
Whole Numbers
Addition
a + (b + c) = (a + b) + c......
Subtraction
a - (b - c) ≠ (a - b) - c.........
Multiplication
a × (b × c) = (a × b) × c........
Division
(A ÷ B) ÷ C ≠ A ÷( B ÷ C )..
Integers
Addition
a + (b + c) = (a + b) + c.......
(-2 + 3) + -4 = -2 + (3 + -4)
Subtraction
a - (b - c) ≠ (a - b) - c.
Multiplication
a × (b × c) = (a × b) × c...
Division
a ÷ (b ÷ c) ≠ (a ÷ b) ÷ c.
Rational Number
Multiplication
, a × (b × c) = (a × b) × c.
Addition
a + (b + c) = (a + b) + c.......
Subtraction
a - (b - c) = (a - b) - c
Division
(A ÷ B) ÷ C ≠ A ÷( B ÷ C ).
Commutative Property
Integers
Addition
A + B = B+ A
Subtraction
a - b ≠ b - a
Multiplication
A X B = B X A .........
Division
A ÷ B ≠ B÷A
Whole Numbers
Addition
a + b = b + a
Subtraction
A - B ≠ B - A..
Multiplication
A X B = B X A.
Division
A/ B ≠ B/A
Rational Number
Addition
a + b = b + a.
Subtraction
a - b ≠ b - a.
Multiplication
a x b = b x a.
Division
a ÷ b ≠ b ÷ a......
Distributive Property
Rational Numbers
Addition
A ( B+C) = AB + AC
Subtraction
A ( B - C) = AB - AC
Rearrangement Property
2/6 + 3/7 + -4/6 + 9/7 = 2/6 + -4/6 + 3/7 + 9/7
