Distributing, Sets of Numbers, Properties of Real Numbers

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Presentation transcript:

Distributing, Sets of Numbers, Properties of Real Numbers Guided Notecards Distributing, Sets of Numbers, Properties of Real Numbers

Distributing Distributive Property of Multiplication over Addition Distributive Property of Multiplication over Subtraction Distributive Property of Division over Addition Distributive Property of Division over Subtraction

Distributive property of multiplication over addition Notecard #1 - FRONT Distributive property of multiplication over addition

Notecard #1 - BACK a(b+c) = ab + bc

Distributive property of multiplication over subtraction Notecard #2 - FRONT Distributive property of multiplication over subtraction

Notecard #2 - BACK a(b-c) = ab - bc

Distributive property of division over addition Notecard #3 - FRONT Distributive property of division over addition

Notecard #3 - BACK a+b = a + b c c c

Distributive property of division over subtraction Notecard #4 - FRONT Distributive property of division over subtraction

Notecard #4 - BACK a-b = a - b c c c

Sets of Numbers Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Closure

Notecard #5 - FRONT Natural numbers

Notecard #5 - BACK {1, 2, 3, 4, 5, …} *counting…

Notecard #6 - FRONT Whole numbers

Notecard #6 - BACK {0, 1, 2, 3, 4, …}

Notecard #7 - FRONT Integers

Notecard #7 - BACK {…, -2, -1, 0, 1, 2, …} *number line

Notecard #8 - FRONT Rational numbers

A quotient of 2 integers, a decimal value that stops or repeats Notecard #8 - BACK A quotient of 2 integers, a decimal value that stops or repeats

Notecard #9 - FRONT Irrational numbers

A decimal value that never stops and never repeats (ex. ∏) Notecard #9 - BACK A decimal value that never stops and never repeats (ex. ∏)

Notecard #10 - FRONT Real Numbers

The union of rational and irrational numbers Notecard #10 - BACK The union of rational and irrational numbers

Notecard #11 - FRONT Closure

Notecard #11 - BACK Add/Subtract/Multiply/Divide 2 numbers from a specific set, the answer is also from that set. Ex: 2 + 3 = 5 (natural + natural = natural)

Properties of Real Numbers Additive Identity Multiplicative Identity Additive Inverse Multiplicative Inverse Commutative Property of Addition Commutative Property of Multiplication Associative Property of Addition Associative Property of Multiplication Reflexive Property Symmetric Property Transitive Property

Notecard #12 - FRONT Additive Identity

Notecard #12 - BACK a + 0 = a

Multiplicative Identity Notecard #13 - FRONT Multiplicative Identity

Notecard #13 - BACK a x 1 = a

Notecard #14 - FRONT Additive Inverse

Notecard #14 - BACK a + - a = 0

Multiplicative Inverse Notecard #15 - FRONT Multiplicative Inverse

Notecard #15 - BACK a x 1/a = 2

Commutative Property of Addition Notecard #16 - FRONT Commutative Property of Addition

Notecard #16 - BACK a + b = b + a

Commutative Property of Multiplication Notecard #17 - FRONT Commutative Property of Multiplication

Notecard #17 - BACK a x b = b x a

Associative Property of Addition Notecard #18 - FRONT Associative Property of Addition

Notecard #18 - BACK (a + b) + c = a + (b + c)

Associative Property of Multiplication Notecard #19 - FRONT Associative Property of Multiplication

Notecard #19 - BACK (a x b) x c = a x (b x c)

Notecard #20 - FRONT Reflexive Property

Notecard #20 - BACK a = a

Notecard #21 - FRONT Symmetric Property

Notecard #21 - BACK If a = b, then b = a

Notecard #22 - FRONT Transitive Property

Notecard #22 - BACK If a = b, and b = c, then a = c