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Bell Ringer May 05, 2014 School Day 163 Daily Decimal (DD): 1.What is the 2 nd Semester to the remaining days in the school year as a decimal not rounded? 2. Find the value of Homework: Negative Exponents WS
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Clear Target I will be able to explore the idea of negative exponents.
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Let’s watch a video Powers
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Explain what the exponent means? 5 3 = 5 * 5 * 5 = 125 10 2 = 10 * 10 = 100 8 4 = 8 * 8 * 8 * 8 = 4096
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What do you think it means when an exponent is negative? 5 -3 = 10 -2 =
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What does 2 -1 Mean? You cannot leave an exponent negative because there is no way to express it’s meaning. You must make it positive !
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Zero and Negative Exponents Zero and negative exponents are too easy. DEFINITION OF NEGATIVE EXPONENTS a -n is the reciprocal of a n. where a is not equal to 0.
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Simplify. A negative exponent is an inverse! Flip the number over to make the exponent positive!
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Follow the Pattern! 10 1 = 10 2 = 10 3 = 10 4 = 10 5 = 100 1,000 10,000 100,000 1010 10 1 10 = 0.1 10 -2 1 1 10 2 1 100 = 0.01 10 -3 1 10 3 1 1000 = 0.001
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Zero and Negative Exponents Zero and negative exponents are too easy. DEFINITION OF ZERO EXPONENTS A nonzero number to the zero power has the value of ONE. ANY NUMBER (except zero!) RAISED TO THE ZERO POWER IS ONE!!!! a 0 = 1, where a is not equal to 0. 5 0 = 1 97 0 = 1 1,000,000 0 = 1 1,567 0 = 1 765 0 = 1 8 0 = 1100 0 = 1 -22 0 = 1 -4 0 = 1-9 0 = 1 1987 0 = 1 22.879 0 = 1 300 0 = 1
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Composition Notebook Go to the Table of Contents Label Page 78: “Zero & Negative Exponents”
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What did we learn today? I will be able to explore the idea of negative exponents.
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Exit Slip a. 3 -4 =b. 4 0 = c. 9 -2 =d. 100 0 = e. What effect does a negative exponent have on a number?
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Scoot Activity 2 Minutes: to work independently on the problems 1 Minute: to discuss with your partner You should discuss: Your answers Your solution paths Why your answers are the same/different based on your solution paths Scoot!! Left partners move forward, Right partners move backward.
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