Section 3.3 the real number system (math)

Section 3.3 the real number system (math)

• 1.
  Section 3.3 The Real Number System
• 2.
  By definition  25 is the number you would multiply times itself to get 25 for an answer. Because we are familiar with multiplication, we know that  25 = 5 Numbers like 25, which have whole numbers for their square roots, are called perfect squares
• 3.
  Perfect square Squareroot 1  1 = 1 4  4 = 2 9  9 = 3 16  16 = 4 25  25 = 5 36  36 = 6 49  49 = 7 64  64 = 8 81  81 = 9 100  100 = 10 121  121 = 11 144  144 = 12 169  169 = 13 196  196 = 14 225  225 = 15 Perfect square Square root
• 4.
  Every whole numberhas a square root Most numbers are not perfect squares, and so their square roots are not whole numbers. Most numbers that are not perfect squares have square roots that are irrational numbers Irrational numbers can be represented by decimals that do not terminate and do not repeat Rational + Irrational = REAL Numbers
• 5.
  Obj: To find the square root of a number Find the square roots of the given numbers If the number is not a perfect square, use a calculator to find the answer correct to the nearest thousandth. 81 37 158  81 = 9  37  6.083  158  12.570
• 6.
  Obj: To find the square root of a number Find two consecutive whole numbers that the given square root is between Try to do this without using the table  18  115  18 is between 4 and 5  115 is between 10 and 11  16 = 4 and  25 = 5 so  100 = 10 and  121 = 11 so
• 7.
  Obj: To find the square root of a number Find two consecutive whole numbers that the given square root is between Try to do this without using the table  29  73  29 is between 5 and 6  73 is between 8 and 9  25 = 5 and  36 = 6 so  64 = 8 and  81 = 9 so
• 8.
  Obj: To find the square root of a number Find two consecutive whole numbers that the given square root is between Try to do this without using the table  150  55  150 is between 12 and 13  55 is between 7 and 8  144 = 12 and  169 = 13 so  49 = 7 and  64 = 8 so
• 9.
  Graphing real numbersThe graph of a number is a dot placed where the number would be on the number line 0 5 10 -5 -10 Graph the number: 3 5 -- 1 2 0 5 10 -5 -10 Graph the number: -8.5
• 10.
  Classwork / Homework Page 128 # 32 – 48 Even Page 69 # 12 – 32 Even