Real Numbers

The Math god!

Classify and compare!

Opposite a ------> -a 3 ------> -3 -4 ------> 4 Two numbers that are the same distance from 0 on a number line but in opposite sides of 0. a ------> -a 3 ------> -3 -4 ------> 4

Is the distance between any number by zero. Absolute Value Is the distance between any number by zero. a /a/ ----> /5/-----> 5 /-2/ ----> 2

Activity 1: Classifying Numbers Natural number Whole Number Integer Rational Number Irrational Numer 9 300 .6 .009 -2 3/4 -2 -80

Describe the following: Real numbers Rational Numbers Integers Whole Numbers Natural Numbers Opposite Absolute value Irrational Numbers

Assignment Bring 20 pieces of one square inch red paper and yellow paper

Math Probe!

Add and Subtract Real Numbers

Investigating Algebra Activity 2.2

Different signs subtract, Copy the sign of the higher number, SingAloud! Same signs add and keep, Different signs subtract, Copy the sign of the higher number, Then it will be exact!

Drill 3 + 4 -8 - 15 -13 + 6 9 - 11 13 +(-15)

The order in which you add two numbers does not change the sum. Yes! Commutative Property Is 3 + 2 = 2 + 3? The order in which you add two numbers does not change the sum. Yes! Why? a + b = b + a

Associative Property Is (-7 + 3) + 4 = -7 + (3 + 4)? Yes! The way you group three numbers in a sum does not change the sum. Why? (a + b) + c = a +(b + c)

Identity Property Is 6 + 0 = 0 + 6 = 6? Yes! Why? The sum of a number and 0 is the number. a + 0 = a

Inverse Property Is -2 + 2 = 0? Yes! Why? The sum of a number and its opposite is equal to 0. a +(-a) = 0

Seatwork! Complete the table. Solve. -2 + 5 = -6 – 4 = 1 – 11 = -4 + 6 = 9 – 13 = Given Opposite Absolute Value 89 2. -20 6 4. -9 5. -11

Multiply Real Numbers

SingAloud! If same signs positive different sign is negative Multiply by zero the answer is zero Multiplying same sign will give you positive Multiplying different signs will give you negative

Drill 3 * 4 -8 * 15 -13 * 6 9 * (- 11) 13(-15)

Properties of Multiplication

Commutative Property Is 3 * 2 = 2 * 3? The order in which you multiply two numbers does not change the product. . Yes! Why? ab = ba

Associative Property Is (-7 * 3) 4 = -7 (3 * 4)? Yes! The way you group three numbers in a product does not change the product. Why? (a * b) c = a (b * c)

Identity Property Is 6 * 1 = 1* 6 = 6? Yes! Why? The product of a number and 1 is the number. a * 1= a

Property of -1 Is 6 * -1 = -1* 6 = -6? Yes! Why? The product of a number and -1 is the opposite of the number. a * -1= -a

Zero Property Is -2 * 0 = 0? Yes! Why? The product of a number and 0 is equal to 0. a * 0 = 0

3 a 2 What is the area of the rectangle whole?

The product of a number a and (b + c) Distributive Property The product of a number a and (b + c) a (b + c) = ab + ac The product of a number a and (b - c) a (b - c) = ab - ac

4 ( b + 3 ) ( s + 7 ) 5 m ( m - 9 ) ( 6 - h ) 3

Dividing Real Numbers

Multiplicative inverse It is the reciprocal of a nonzero number a written as 1 ____ a

1 ____ 5 5 1 ____ 3 3 8 ____ 3 3 ___ 8 1 ____ -19 -19

3 ___ 8 3 ÷ -5 ___ 3 -40 ÷

30 -___ 18 5 ÷ 20 ___ 12 -10 ÷

1.Get the multiplicative inverse Steps 1.Get the multiplicative inverse of the divisor 2. Proceed to multiplication

If same signs positive different sign is negative Multiply by zero the answer is zero Multiplying same sign will give you positive Multiplying different signs will give you negative Dividing integers is just easy Dividing zero by a number is zero Dividing a number by zero is undefined

Prepare for a summative quiz next meeting!