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Chapter 4 Section 2

Chapter 4 Section 2. I Can . . . Evaluate and Simplify Powers Use Order of Operations with Exponents HW: 4-2 Ws and pg 180 #11 – 27 ODD SHOW WORK. Powers. 2 6. Means 2 • 2 • 2 • 2 • 2 • 2. Whole Expression is called a Power. Base : The number used in multiplication.

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Chapter 4 Section 2

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  1. Chapter 4 Section 2 I Can . . . Evaluate and Simplify Powers Use Order of Operations with Exponents HW: 4-2 Ws and pg 180 #11 – 27 ODD SHOW WORK

  2. Powers 26 Means 2 • 2 • 2 • 2 • 2 • 2 Whole Expression is called a Power. Base: The number used in multiplication Exponent: The number of repeated multiplications

  3. Power Verbal Expression Value 121 Twelve to the first power 12 62 Six to the second power 6•6 = 36 or six squared (0.2)3 Two-tenths to the third power (.2)(.2)(.2) = 0.008 or two-tenths cubed -74 The opposite of the quantity of (-1)(7•7•7•7) = -2,401 seven to the fourth power (-8)5 Negative eight to the fifth power (-8)(-8)(-8)(-8)(-8) = -32,768

  4. Using an Exponent Write the expression using an exponent. Student Practice Problems (-5)3 1. (-5)(-5)(-5) 1. 6•6•6•6 64 -2a3b 3xy3 2. -2•a•b•a•a 2. 3•x•y•y•y m2n2 3. m•m•n•n 3. 4 • x • y • x • y 4x2y2

  5. Simplifying a Power Using the Power Key Student Practice Problems The ice age ended about 104 years ago. How many years ago was this? 10 = 10•10•10•10 = 10,000 Simplify: 2a2 if a=7. 2•72 = 2•49 = 98 • A microscope can magnify a specimen 103 times. How many times is that? 103 = 10•10•10 = 1,000 • Evaluate –a4b for a = 2 and b = 3. (-1)(2)4(3) = (-1)(16)(3) = (-16)(3) = -48

  6. Order of Operations with Exponents • Grouping Symbols • POWERS • Multiplication or Division Left to Right • Addition or Subtraction Left to Right 15 + (4 + 6)2÷ 5 15 + (10)2÷ 5 15 + 100÷ 5 115 ÷ 5 23

  7. Student Practice Problems 7(w - 3)3 + z For w = 5 and z = 6 7(5 - 3)3 + 6 7(2)3 + 6 7(8) + 6 56 + 6 62 (12 – 3)2÷ (22 – 1) (9)2 ÷ (22 -1) (9)2 ÷ (4 – 1) (9)2 ÷ (3) 81 ÷ 3 27

  8. Closure Write a numerical expression with exponents. Simplify your expression. Hand your expression to a partner to check your work.

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