Properties of Numbers Flashcards
(19 cards)
Distributive property
A(2 + 3)
Property of opposite
A + (-a) = 0
Identity property of addition
A + 0 = A
Substitution
(12+12) can be changed to 24
Transitive
If a = b and b = c then a = c
Symmetric
If a = b then b = a
Reflexive
A = a
Associative
(A+b)+c =a+(b+c)
Commutative property
A+b = b+a
Natural
Counting numbers whole not including zero.
Whole numbers
Positive whole numbers including zero
Integers
Positive, negative, whole, zero
Irrational
Can’t be represented as a fraction. Can’t be repeating or terminated
Rational number
Written as fraction (repeats and terminates)
Real number
Not imaginary
When does an equation have no solution?
When both sides simplify to different constants (e.g. 5 = 3)
When does an equation have infinitely many solutions?
When both sides simplify to the exact same expression (e.g. 2x + 3 = 2x + 3)
