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Lesson Menu Five-Minute Check (over Lesson 1–1) Main Idea and Vocabulary Example 1:Write Powers as Products Example 2:Write Powers as Products Example 3:Write Powers in Standard Form Example 4:Write Powers in Standard Form Example 5:Write Numbers in Exponential Form
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Lesson Menu 1. Use the four-step plan to solve the problem. Ryan’s living room is 10 feet wide, 12 feet long, and 10 feet high. If one gallon of paint covers 400 square feet of surface area, how many gallons of paints would Ryan need to paint all four walls and the ceiling? 2. Use the four-step plan to solve the problem. Nolan is selling coupon books to raise money for a class trip. The cost of the trip is $400, and the profit from each book is $15. How many coupon books does Nolan need to sell to earn enough money to go on the class trip?
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Main Idea/Vocabulary Factors - #s multiplied Exponent - # of times base is used Base - common factor Powers - # used as exponent Squared - exponent of 2 Use powers and exponents. Cubed - exponent of 3 Evaluate - find the value standard form - no exponents exponential form- #s with exponents
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Example 1 Write Powers as Products Write 8 4 as a product of the same factor. Eight is used as a factor four times. Answer: 8 4 = 8 ● 8 ● 8 ● 8
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1.A 2.B 3.C 4.D Example 1 A.3 ● 6 B.6 ● 3 C.6 ● 6 ● 6 D.3 ● 3 ● 3 ● 3 ● 3 ● 3 Write 3 6 as a product of the same factor.
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Example 2 Write Powers as Products Write 4 6 as a product of the same factor. Four is used as a factor 6 times. Answer: 4 6 = 4 ● 4 ● 4 ● 4 ● 4 ● 4
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1.A 2.B 3.C 4.D Example 2 A. 7 ● 3 B. 3 ● 7 C.7 ● 7 ● 7 D.3 ● 3 ● 3 ● 3 ● 3 ● 3 ● 3 Write 7 3 as a product of the same factor.
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Example 3 Write Powers in Standard Form Evaluate the expression 8 3. 8 3 = 8 ● 8 ● 88 is used as a factor 3 times. = 512Multiply. Answer: 512
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1.A 2.B 3.C 4.D Example 3 A.8 B.16 C.44 D.256 Evaluate the expression 4 4.
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Example 4 Evaluate the expression 6 4. 6 4 = 6 ● 6 ● 6 ● 6 6 is used as a factor 4 times. = 1,296Multiply. Answer: 1,296 Write Powers in Standard Form
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1.A 2.B 3.C 4.D Example 4 A.10 B.25 C.3,125 D.5,500 Evaluate the expression 5 5.
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Example 5 Write 9 ● 9 ● 9 ● 9 ● 9 ● 9 in exponential form. 9 is the base. It is used as a factor 6 times. So, the exponent is 6. Answer: 9 ● 9 ● 9 ● 9 ● 9 ● 9 = 9 6 Write Powers in Exponential Form
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1.A 2.B 3.C 4.D Example 5 A.3 5 B.5 3 C.3 ● 5 D.243 Write 3 ● 3 ● 3 ● 3 ● 3 in exponential form.
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End of the Lesson
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Resources Five-Minute Check (over Lesson 1–1) Image Bank Math Tools Arithmetic Sequences Modeling Algebraic Expressions Function Machines
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1.A 2.B 3.C 4.D Five Minute Check 1 A.1 gallon B.2 gallons C.3 gallons D.4 gallons Use the four-step plan to solve the problem. Ryan’s living room is 10 feet wide, 12 feet long, and 10 feet high. If one gallon of paint covers 400 square feet of surface area, how many gallons of paints would Ryan need to paint all four walls and the ceiling? (over Lesson 1-1)
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1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 1-1) A.15 coupon books B.16 coupon books C.26 coupon books D.27 coupon books Use the four-step plan to solve the problem. Nolan is selling coupon books to raise money for a class trip. The cost of the trip is $400, and the profit from each book is $15. How many coupon books does Nolan need to sell to earn enough money to go on the class trip?
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1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 1-1) A.March B.April C.May D.June Use the four-step plan to solve the problem. Cangialosi’s Café made a $6,000 profit during January. Mr. Cangialosi expects profits to increase $500 per month. In what month can Mr. Cangialosi expect his profit to be greater than his January profit?
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1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 1-1) A.18 B.36 C.38 D.72 A comic book store took in $2,700 in sales of first editions during November. December sales of first editions are expected to be double that amount. If the first editions are sold for $75 each, how many first editions are expected to be sold in December?
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