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A#14 / 1-2/1-3 Homework Worksheet
Homework Corrections A#14 / 1-2/1-3 Homework Worksheet 1. a) 4 b) -30 2. a) b) 53 3. a) 5 b) 300 4. a) undefined b) 0
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Warm Up Simplify. 1. 2(2) 2. (-2)(-2) 3. (-2)(-2)(-2) 4. 3(3)(3) 5.
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Add It Fast! Divide a deck of cards evenly between you and
your partner. You and your partner each turn over one card at the same time and add the numbers together. The fastest person to say the correct sum takes the two cards. Once all of the cards have been added and taken, the person with the most cards wins! Number cards Number on the card Face cards = = 10 Aces = 1 = 9 = 10 = 1
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Lesson Objectives: I will be able to …
Page 14 Lesson Objectives: I will be able to … Evaluate expressions containing exponents Review concepts from Chapter 1 Language Objective: I will be able to … Read, write, and listen about vocabulary, key concepts, and examples
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Page 14
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Page 14 A power is an expression written with an exponent and a base or the value of such an expression. 3² is an example of a power. The base is the number that is used as a factor. 3 2 The exponent, 2 tells how many times the base, 3, is used as a factor.
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When a number is raised to the second power, we usually say it is “squared.” The area of a square is s s = s2, is the side length. S When a number is raised to the third power, we usually say its “cubed.” The of volume of a cube is s s s = s3 is the side length. S
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Example 1: Writing Powers for Geometric Models
Page 14 Write the power represented by the geometric model. A. The figure is 5 units long, 5 units wide, and 5 units tall. 5 5 5 5 53 The factor 5 is used 3 times. 6 B. The figure is 6 units long and 6 units wide. 6 x 6 62 The factor 6 is used 2 times.
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Write the power represented by each geometric model.
Your Turn 1 Page 14 Write the power represented by each geometric model. A. The figure is 2 units long and 2 units wide. 2 2 22 The factor 2 is used 2 times. B. x The figure is x units long, x units wide, and x units tall. x x x The factor x is used 3 times. x3
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Caution! In the expression –52, 5 is the base because the negative sign is not in parentheses. In the expression (–2)2, –2 is the base because of the parentheses. -52 = -1 ● 5 ● 5 = (-2)2 = (-2)(-2) = 4
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Example 2: Evaluating Powers
Page 15 Example 2: Evaluating Powers Evaluate each expression. A. (–6)3 (–6)(–6)(–6) Use –6 as a factor 3 times. –216 B. –102 Think of a negative sign in front of a power as multiplying by a –1. –1 • 10 • 10 –100 Find the product of –1 and two 10’s. C. 2 9 Use as a factor 2 times. 2 9 = 4 81
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Your Turn 2 Evaluate each expression. A. (–5)3 (–5)(–5)(–5) –125
Page 15 Evaluate each expression. A. (–5)3 (–5)(–5)(–5) Use –5 as a factor 3 times. –125 B. –62 Think of a negative sign in front of a power as multiplying by –1. –1 6 6 –36 Find the product of –1 and two 6’s. C. Use as a factor 3 times. 3 4 27 64
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Example 3: Writing Powers
Page 15 Example 3: Writing Powers Write each number as a power of the given base. A. 64; base 8 8 8 The product of two 8’s is 64. 82 B. 81; base –3 (–3)(–3)(–3)(–3) The product of four –3’s is 81. (–3)4
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Write each number as a power of a given base.
Your Turn 3 Page 16 Write each number as a power of a given base. A. 64; base 4 4 4 4 The product of three 4’s is 64. 43 B. –27; base –3 (–3)(–3)(–3) The product of three (–3)’s is –27. (–3)3
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Cornell Notes Fill in the Essential Question:
“How do I evaluate expressions containing exponents?” Write two or three main ideas from this lesson in the Notes section. Write a Question for each main idea. (The answer to the question should be the main idea.) Summarize the answers to your questions in the Summary section. Page 17
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Classwork Assignment #15 Partner Math
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Homework Assignment #15 1-4 Homework Worksheet
Chapter 1 Quiz Tomorrow!
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