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Notes – Exponents & Perfect Squares Name: ________________________ E#_____ EXPONENTS Mathematical operation that causes _______________ multiplication. BASE The number or variable that is being EXPONENT Tells you how many ________ _________________ repeatedly. to write down the _________ as the factor. Exponential Form Expanded Form 2 “________________” Simplified/Standard Form 3 “________________” Anything to the 0 power is ______________ 43 = 64 = 25 = PERFECT SQUARE a number that result from multiplying any whole number by itself. Example: 9 is a perfect square because you can multiply ____ by ____ to get it. PERFECT SQUARES TO MEMORIZE 2 1 = 2 2 = 32 = 42 = 52 = 62 = 72 = 82 = 92 = 102 = 112 = 122 = 132 = 142 = 152 = CAN YOU GUESS THE PATTERN WITH BASE 10? If 10 is the base, look at the following: 101 = 10 102 = _________ 103 = 1,000 104 = _________ 105 = _________ If 10 is the base here’s how to find the answer: Write a 1 Look at the ______________ The exponent tells you how many _________ to write after the one. Homework: Exponents & Perfect Squares Write each expression in expanded form and then evaluate. CIRCLE THE PERFECT SQUARES. 1) 72 = 2) 19 3) 42 = 4) 23 = 5) 43 = 6) 34 = 7) 22 = 8) 33 = 9) 104 = 10) 480 = 11) 162 = 12) 113 = 13) b0 = 14) 24 + 63 = 15) 53 – 23 = 16) 160 + 81 + 72 = Write each product using exponents. DO NOT SOLVE. 17) 8 8 8 8 8 = 18) 15 15 15 15 = 19) b b b = Compare using >, <, or = 21) 26 _______ 82 22) 3 15 _______ 16 3 20) n n = 23) 240 _______ 750 24) Write the first 15 perfect squares: ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____ 25) Three students were asked to evaluate 25. Their answers are below. Michelle: David: Cameron: 5 5 2 = 2 + 2 + 2 + 2 + 2 = 10 2 = 2∙ 5 25 = 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 = 32 Which student is correct? Explain why that student is correct? What did the other students do wrong?