1 / 21

6-1

6-1. Integer Exponents. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 1. Holt Algebra 1. Warm Up Evaluate each expression for the given values of the variables. 1. x 3 y 2 for x = –1 and y = 10 2. for x = 4 and y = (–7)

ganit
Download Presentation

6-1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 6-1 Integer Exponents Warm Up Lesson Presentation Lesson Quiz Holt McDougal Algebra 1 Holt Algebra 1

  2. Warm Up Evaluate each expression for the given values of the variables. 1.x3y2 for x = –1 and y = 10 2. for x = 4 and y = (–7) Write each number as a power of the given base. 3. 64; base 4 4. –27; base (–3)

  3. Objectives Evaluate expressions containing zero and integer exponents. Simplify expressions containing zero and integer exponents.

  4. RECALL: Positive exponents. To simplify 32, use 3 as a factor 2 times: 32 = ??? VOCABULARY Positive exponents EXPONENT BASE

  5.  5  5  5  5 ZERO OR NEGATIVE EXPONENTS look for a pattern to figure it out. 55 54 53 52 51 50 5–1 5–2 625 3125 125 25 5 When the exponent decreases by one, the value of the power is divided by 5. = = =

  6. VOCABULARY Zero Exponents – Any nonzero number raised to the zero power is 1. Examples:

  7. VOCABULARY Negative Exponents– A nonzero number raised to a negative exponent is equal to 1 divided by that number raised to the opposite (postive) exponent. Example:

  8. Why “nonzero number” in the previous definition?

  9. Reading Math 2–4 is read “2 to the negative fourth power.”

  10. gal is equal to Example 1: Application One cup is 2–4 gallons. Simplify this expression.

  11. Try this one yourself!!! A sand fly may have a wingspan up to 5–3 m. Simplify this expression.

  12. TRY THESE YOURSELF!!! Simplify. A. 4–3 B. 70 7º = 1 C. (–5)–4 D. –5–4 E. (–2)–5

  13. Caution In (–5)–4, the base is negative because the negative sign is inside the parentheses. In –5–4the base (5) is positive.

  14. Use the definition Example 2 Evaluate the expression for the given value of the variables. x–2 for x = 4 Substitute 4 for x.

  15. Example 3: Try another yourself!!! Simplify the expression for the given values of the variables. –2a0b-4 for a = 5 and b = –3 Substitute 5 for a and –3 for b. Evaluate expressions with exponents. Write the power in the denominator as a product. Simplify the denominator. Simplify.

  16. for a = –2 and b = 6 Try these yourself!!! Evaluate the expression for the given value of the variable. 1.) p–3for p = 4 2.)

  17. What if you have an expression with a negative exponent in a denominator, such as ? *Move the denominator to the top and change the sign **An answer with a negative exponent IS NOT simplified fully

  18. B. Example 4: Together Simplify. A. 7w–4

  19. and Example 4: Simplifying Expressions with Zero and Negative Numbers Simplify. C.

  20. PRACTICE: ON YOUR OWN Simplify. a. 2r0m–3 b. c.

  21. 6.1 HOMEWORK PG. 395 - 397 #24-42(all), 44-66(evens), 78-83, 100

More Related