1. Real Numbers

2. The Math god!

3. Classify and compare!

4. 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
> 4

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

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

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

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

9. Math Probe!

10. Add and Subtract Real Numbers

11. Investigating Algebra Activity 2.2

12. 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!

13. Drill
3 + 4
9 - 11
13 +(-15)

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

15. 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)

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

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

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

19. Multiply Real Numbers

20. 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

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

22. Properties of Multiplication

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

24. 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)

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

26. 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

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

28. 3 a 2
What is the area of
the rectangle whole?

29. 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

30. 4 ( b + 3 )
( s + 7 ) 5
m ( m - 9 )
( 6 - h ) 3

31. Dividing
Real
Numbers

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

33. 1
____ 5 5 1
____ 3 3 8
____ 3 3
___ 8 1
____
-19
-19

34. 3
___ 8 3 ÷ -5
___ 3
-40 ÷

35. 30
-___ 18 5 ÷ 20
___ 12
-10 ÷

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

37. 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

38. Prepare for a summative quiz next meeting!