8.4 Negative and Zero Exponents

Mar 30, 2019

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8.4 Negative and Zero Exponents. Objectives: Understand the concepts of negative and zero exponents. Simplify expressions containing negative and zero exponents.

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8.4 Negative and Zero Exponents

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8.4 Negative and Zero Exponents Objectives: Understand the concepts of negative and zero exponents. Simplify expressions containing negative and zero exponents. Standards Addressed: 2.1.8.B: Simplify numerical expressions involving exponents. 2.1.8.E: Simplify and expand algebraic expressions using exponential form.

Ex. 1
D. • E. 1 m9 M-9

Ex. 2
p8 • C. • D. 1 Q5 Q-5
Ex. 3
Ex. 3 • D. • E. 3n5 m7 3m-7n5 b2c3 a10 A-10b2c3
Ex. 3 1d13 2c5f2 .5d13c-5f-2 • F. • G. 1p5 -2 -.5p5

Negative Exponents

Negative Exponents. 5 ¯². Negative number raised to a positive even power. If a negative number is raised to a “positive even” power, the answer or result will be a positive number. (-5) ⁴ = (-5)(-5)(-5)(-5) = 625 Note that the number is negative , not the exponent.

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Negative and Zero Exponents

Negative and Zero Exponents. Textbook pages 199 – 203 Guided Practice p. 201 #1-15 all Practice and Problem Solving p. 202 #16 – 60 even . Vocabulary. Zero Exponent – For any nonzero number a , a 0 = 1

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Section 8-1: Zero and Negative Exponents

Section 8-1: Zero and Negative Exponents. Objectives: (1) To understand that numbers in the real number system are represented in a variety of equivalent forms (2) To add, subtract, multiply and divide exponential expressions. Properties. Zero Exponent Property

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Negative Exponents

Negative Exponents. and. Zero Exponents. Negative & Zero Exponents. Multiply Integers REVIEW. = + 1. 1 • 1. 1 • -1. = - 1. -1 • -1 . = + 1. -1 • -1 • -1. = - 1. -1 • -1 • -1 • -1. = + 1. -1 • -1 • -1 • -1 • -1. = - 1. -1 • -1 • -1 • -1 • -1 • -1. = + 1.

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Zero and Negative Exponents

Zero and Negative Exponents. Algebra 1 Section 8-1. Wal * math. Investigation pg 394. Replace each blank with the value of the power in simplest form. Pattern. What pattern do you notice as you go down each column? In the first column each term is ½ the previous term.

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Negative exponents

Negative exponents. What do we know? . Which number is in exponential form: -10, , 10 Identify the Base of that number What is the exponent in that number ?. - the number being multiplied by itself ie . 10. +2. What does the exponent represent? 10.

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7.1 Zero and Negative Exponents:

Base: A number that is multiplied repeatedly. 7.1 Zero and Negative Exponents:. Exponent: A number that shows repeated multiplication. Property: A character or attribute that something has. GOAL:. Definition:. An exponent equation has two components:. Exponent. Base.

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8-4 zero and negative exponents

8-4 zero and negative exponents. Algebra 1 CP Objective: evaluate and simplify expressions in which zero and negative numbers are used as exponents. Zero as an exponent. For any nonzero number a, a 0 = 1 Ex: 5 0 = (-2) 0 = (3/2) 0 =. Negative exponents.

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Lesson 6.6: Zero and Negative Exponents

Lesson 6.6: Zero and Negative Exponents. To investigate the meaning of non-positive exponents. To write a number with a negative exponent in a form that has a positive exponent and write a number with a positive exponent in a form that has a negative exponent.

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9.1 Zero and Negative Exponents

9.1 Zero and Negative Exponents. Warm Up: Complete the tables by finding the value of each power. What happens to the value of the expression each time the exponent decreases?.

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Negative Exponents

Negative Exponents. and. Zero Exponents. Negative & Zero Exponents. Multiply Integers REVIEW. = + 1. 1 • 1. 1 • -1. = - 1. -1 • -1. = + 1. -1 • -1 • -1. = - 1. -1 • -1 • -1 • -1. = + 1. -1 • -1 • -1 • -1 • -1. = - 1. -1 • -1 • -1 • -1 • -1 • -1. = + 1.

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8.3 Define and Use Zero and Negative Exponents

8.3 Define and Use Zero and Negative Exponents. Students will Use the Zero Exponent Property Rewrite expressions without negative exponents. We will start our discussion about zero and negative exponents with the partner activity “Fast Growing Plant?”.

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Zero and Negative Exponents

Zero and Negative Exponents. Lesson 8-1. Objectives: 1. to simplify expressions with zero and negative exponents 2. to evaluate exponential expressions. Use the definition of negative exponent. 1 3 2. =. Simplify. 1 9. =. = 1.

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7.1 Zero and Negative Exponents

7.1 Zero and Negative Exponents. Objective: To simplify expressions involving zero and negative exponents. 7.1 Zero and Negative Exponents. Make a conjecture about how the value of an exponent expression changes when you decrease the exponent by 1. What about ?.

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Negative and Zero Exponents

Negative and Zero Exponents. 6.8. Simplify. Express using exponents. Express using positive exponents 8 -2. Express using positive exponents 3 -3. Express using positive exponents ab -1. Exponent applies to the figure immediately to the left. Ex:. Definition: a 0 = 1 (0 0 is “undefined).

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Zero and Negative Exponents

Zero and Negative Exponents. Zero Exponents. What did we notice about a base raised to the power zero?. Proof:. Zero Property of Exponents A nonzero number to the zero power is 1:. Negative Exponents. What did we notice about negative exponents?. Proof:. Negative Exponents.

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7.1 Zero and Negative Exponents

7.1 Zero and Negative Exponents. Standard: SWBAT understand and use the rules of exponents. Mini Quiz 32. Write in Standard Notation: 3.78 x 10 -4 Write in Scientific Notation: 3480.21 Write in Scientific Notation: 13.8 x 10 3. Quick Review.

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Zero and Negative Exponents

Zero and Negative Exponents. Objectives and Properties. Be able to evaluate powers that have zero exponents. Be able to evaluate powers that have negative exponents. Rewrite expressions so that exponents are positive.

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Negative Exponents

Negative Exponents . Section 10.7. Exponents & Negative numbers. When negative numbers are raised to an exponent, the following rules hold true: If the exponent is odd - the answer is negative If the exponent is even - the answer is positive Examples:. Negative Exponents.

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8.2 Negative and Zero Exponents

8.2 Negative and Zero Exponents. I love exponents!. Definition of Negative Exponents. (let a be a nonzero number and let n be a positive integer) The expression a -n is the reciprocal of a n . a -n = 1 a ≠ 0 a n. 1 = a n. a -n. 3 -2 = 1. = 1 9. 3 2.

119 views • 10 slides

Negative Exponents

Negative Exponents. and. Zero Exponents. Negative & Zero Exponents. Multiply Integers REVIEW. = + 1. 1 • 1. 1 • -1. = - 1. -1 • -1. = + 1. -1 • -1 • -1. = - 1. -1 • -1 • -1 • -1. = + 1. -1 • -1 • -1 • -1 • -1. = - 1. -1 • -1 • -1 • -1 • -1 • -1. = + 1.

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Example 2: Zero and Negative Exponents

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