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Real Numbers

Real Numbers. The Math god!. Classify and compare!. Opposite. 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. Absolute Value. Is the distance between any number by zero. a. /a/ ---->.

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Real Numbers

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  1. RealNumbers

  2. The Math god!

  3. Classify and compare!

  4. Opposite 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

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

  6. Activity 1: Classifying Numbers

  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. 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 -8 - 15 -13 + 6 9 - 11 13 +(-15)

  14. 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

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

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

  18. Seatwork! • Solve. • -2 + 5 = • -6 – 4 = • 1 – 11 = • -4 + 6 = • 9 – 13 = • Complete the table.

  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. Is 6 * -1 = -1* 6 = -6? Property of -1 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. 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. 5 1 8 3 1 1 ___ ____ ____ ____ ____ 3 -19 5 3 8 3 -19

  34. 3 ÷ ___ 3 -5 ___ 8 3 -40 ÷

  35. 5 ÷ 30 20 ___ -___ 18 12 -10 ÷

  36. 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 If same signs positive different sign is 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!

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