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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 these 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) 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? A.15 coupon books B.16 coupon books C.26 coupon books D.27 coupon books
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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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Main Idea/Vocabulary factors exponent base powers squared Use powers and exponents. cubed evaluate standard form exponential form
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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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REVIEW 1. Give an example of a factor using squared and cubed. Then evaluate each. EXAMPLE ANSWER: 5 squared is 5 times 5; 5 cubed is 5 times 5 times 5. 5 is the factor since it is being multiplied together to form a product. 5 squared is 25 and 5 cubed is 125. 2. Give an example of a number in exponential form and name the parts. EXAMPLE ANSWER: since numbers written with exponents are in exponential form. Numbers expressed using exponents are called powers. 5 is the base and 2 is the exponent. LESSON REVIEW
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GUIDED PRACTICE GUIDED PRACTICE: P31#1-6 & 8-10, P32#11, 15, 17, 21, 25, 27, 29 PREREQUISITE SKILLS: P33#47-50
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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 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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