Types of Numbers and their Properties

Watch the video to recap the Real Number System! Types of numbersFill in the blanks from the notes you have taken in class. Click in the empty space for a word bank to appear. Types of NumbersN: Natural Numbers:The set of counting numbers {1,2,3,4,5...}W: WholeNumbersIncludes Natural numbers and 0 {0,1,2,3,4,...}I: Integer numbersIncludes whole numbers and negative natural numbers {...-3,-2,-1,0,1,2,3...}R: Rational NumbersA number that can be written in the form a where a cannot = 0eg. 1 = .3333... repeating decimal or 2 terminatingdecimalI: IrrationalNumbersA number that can notbe written as a fraction. Includes decimals that do not repeat or terminateeg. pi=3.14159....Square root of 2 = 1.412356...Includes square roots of numbers that are not perfect squares.R: Real NumbersAll of the previous numbers together. True or False: All Integers are Rational True False True or False: All whole numbers are Natural True False Okay, this one is a little rough... but by the end you might be singing along?? Properties of Numbers. Match the correct property with the correct example. Commutative Addition 5+6=6+5 Associative Addition (-1+2)+3=-1+(2+3) Associative Multiplication (3x6)x2=3x(6x2) Distributive -2(4+7)=-8 + -14 Commutative Multiplication -3 x 10=10 x -3 Additive Inverse -5 and 5 Multiplicative Inverse 1 and 2 Opposite Reciprocals 1 and -2 This property says you can regroup the terms without changing the value of the expression. Commutative Associative Distributive Identity This property says you can distribute a common factor without changing the value of the expression. Commutative Associative Distributive Identity This property says you can add zero or multiply by one and not change the value of the expression. Commutative Associative Distributive Identity This property says you can reorder the terms without changing the value of the expression. Commutative Associative Distributive Identity Sort into the correct property. Associative 5 x (13 x 6) = (5 x 13) x 6 (3 + 9) + 11 = 3 + ( 9 + 11) Commutative 4(-5) = (-5)(4) 18 + 45 = 45 + 18 Distributive 2 ( 9 - 2 ) = 2(9) - 2(2) -5 (3 + 9) = -5(3) + (-5)(9) Identity 234 X 1 = 234 956 + 0 = 956 Inverse 13 + (-13) = 0 (7 * (12 = 1 Sort into the correct property.