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Help Wanted: Where: ET Booth Middle School When: Month of September Salary: 1¢ the first day, and your salary will double everyday. Would you apply? Why or Why not?
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Is it worth it? DayDaily EarningsTotal Earnings 1 2 3 4 5 6 7 8 9 10 11 12 13 14
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Is it worth it? DayDaily EarningsTotal Earnings 11¢ 22¢3¢ 34¢7¢ 48¢15¢ 516¢31¢ 632¢63¢ 764¢127¢ 8128¢255¢ 9256¢511¢ 10512¢1023¢ 111024¢2047¢ 122048¢4095¢ 134096¢8191¢ 148192¢16383¢
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Is it worth it? DayDaily EarningsTotal Earnings 29268435456¢536870911¢ 30536870912¢1073741823¢ 311073741824¢2147483646¢
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P. 159 Are you Ready? answers 1.Order of operations, expression 2.Variable 3. Equation4. Inequality 5) 20 6) 147)1508)09) 8 10) 8011) x=1212)z=1413. w=64 14)t=015)p=3016)m=017)16,807 18) 172819)8120)14,641 21)262,144 22)823)100,000,000 24)59,04925)1
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Introduction to Exponents
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A POWER: 3434 base exponent 3 4 = 3·3·3·3 = 81
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3 4 ≠ 12!!! Why?
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Example 1: Write each expression in expanded form. a)5 3 b) 4 2 ·x 3 c) 5 6 ·x 2 ·y 3
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Example 2: Write each expression as a power. a)5·5·5·5 b) 3·3·x·x·x c) 4·4·4·4·4·x·x·y·y·y
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Example 3: Evaluate each expression. a)5 3 b) 14 2 c) 2 5
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Order of Operations
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Example 4: Evaluate each expression. a)8 – 6 + 27 ÷ 3 2 b) 3 2 ÷ 3 + 169 ÷ 3
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Example 5: Evaluate the expression using the values given. a – (b – b 2 ) + 1; when a = 6 and b = 1
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Exponents: Product Property
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Rewrite each product in expanded form, and then rewrite it in exponential form with a single base. 1)3 4 · 3 2 2)5 4 · 5 3 3) 8 3 · 8 2 4) 10 4 · 10 6 Compare the exponents in each final expression that you got to the exponents in the original problem, Describe a way to find the exponents in the final expression without using expanded form. Complete the following: b m · b n = b |
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Simplify. Your answer should contain only positive exponents. 1)2 3 ·2 5 2) 3 4 ·3 5 ·3 6 3) 2v 4 ·3v 6
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Simplify. Your answer should contain only positive exponents. 4) 6r 3 ·7r 2 5) 5x 2 ·4x 6) 3xy 2 ·4x 3 y 4
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