Understanding Zero and Negative Exponents: Rules, Simplification, and Notation
This mini-quiz and overview focuses on the rules of exponents, specifically zero and negative exponents. Students will learn to convert between standard notation and scientific notation, simplifying expressions with negative and zero exponents. Key concepts include how to evaluate any non-zero number raised to the zero power and how to convert negative exponents to positive ones. The material includes practice problems and a wrap-up to reinforce understanding. Master these fundamental exponent rules to enhance your math skills!
Understanding Zero and Negative Exponents: Rules, Simplification, and Notation
E N D
Presentation Transcript
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 103
Quick Review 1. How do you change from Scientific Notation to Standard Notation? Look at the exponent; positive – zeros at the end, negative – zeros in front 2. How do you change from Standard Notation to Scientific Notation? Look at the number; big (>1) – positive exponent; small (<1) – negative exponent
Overview • Simplify exponents to the zero power • Simplify negative exponents
Zero Exponents 27 8 1 9 4 1 3 2 1 Any number evaluated to the “0” exponent is equal to ____. (However, this does not apply to 00, can you figure why?) 1 1 1 1
Negative Exponents What is the rule to evaluating a number to a negative exponent? How can you apply this rule to x-1? How about ? 1 1 1 Flip It! (and the exponent becomes positive)
Simplifying Exponents Simplifying means: No Zero or Negative Exponents!
Simplify the following expressions: 1 x5 16 -n3p6 1
Practice Problems 1. 2-2 ¼ 2. (-2)0 1 3. 5-x 1/5x 4. (½)-1 2 5. 5(2-1) 5/2 6. 2x-2y-3 2/y3x2
More Practice 7. x-5 1/x5 8. x5/2 9. x4y-7 x4/y7 10. x3y/9
Wrap Up Power of Zero • Anything to the zero power is… Negative Exponents • To change a negative exponent to a positive exponent, you need to… HW: P. 331 #1-45 EOO, 95-107 EOO DLUQ: How do you change a negative exponent to a positive exponent?
T2L Simplify 1. 2. 3. Explain in complete sentences how you simplify zero and negative exponents.
