Multiplication of numbers in exponential form
- 1. HOUSEKEEPING Did you complete the reading Map test yesterday? Today – Math MAP test (9:00 am or 2:00 pm) Now Open!! • Unit 1: Lesson 2 Multiplication and Division of Numbers in Exponential Form
- 2. WARM UP Write in exponential form. A. x • x • x • x • x B. d • d • d C. 7 • 7 • b • b
- 4. GOAL FOR TODAY……. Goal: Be able to apply properties of exponents to generate equivalent numerical expressions Agenda: Review – Exponential Notation Multiplication Property
- 5. Properties of Exponents There are some basic properties that we will discuss in this lesson and the next lesson that deal with “raising a number to a power”
- 6. What do you think? For example: 35 ∙ 37 How do you multiply different powers of the same number x: if m, n are positive integers, what is 𝑥 𝑚 ∙ 𝑥 𝑛?
- 7. Example: 35 ∙ 37 Think of it this way! 35 ∙ 37 = 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3
- 8. The factors of a power, such as 74, can be grouped in different ways. 7 • 7 • 7 • 7 = (7 • 7 • 7) • 7 = (7 • 7) • (7 • 7) = Notice the relationship of the exponents in each product. 74 73 • 71 = 74 72 • 72 = 74
- 9. By the definition of exponential notation we looked at in the previous lesson.
- 11. Example Time Multiply. Write the product as one power.
- 12. Example Time Multiply. Write the product as one power.
- 13. What would happen if there were more than two terms with the same base? Write an equivalent expression for each problem.
- 14. Can the following expressions be simplified? If so, write an equivalent expression. If not, explain why not.
- 15. Can the following expressions be simplified? If so, write an equivalent expression. If not, explain why not.
- 18. WRAP UP It’s over already : ( If you have the same bases, add the exponents when multiplying.