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Exponential Notation Slides
- 1. HOUSEKEEPING MAP testing thisweek. Unit 1 is now open. • New lesson will open each day • Pacing guide coming soon
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- 3. GOAL FOR TODAY……. Goal: Know what it means for a number to be raised to a power and how to represent the repeated multiplication symbol Know the reason for some bases to require parentheses Agenda: What is exponential notation? How do you determine the sign of the result?
- 4. There’s an easierway! 3 + 3 + 3 + 3 + 3 = 5 x 3 = Multiplication is an easier way of adding the same number with itself multiple times!
- 5. What if you’remultiplying the same number with itself multiple times? 3 • 3 • 3 • 3 • 3 = Exponents are easier ways of multiplying the same number with itself multiple times!
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- 7. Exponential Notation In general,for an number x and any positive integer n Base Exponent
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- 13. Notice the useof parentheses in #2,3, and 4 Do you know why?
- 14. When should youuse parentheses? In cases where the base is either fractional or negative.
- 15. If n isa fixed positive integer, then…..
- 16. If n isa fixed positive integer, then….. Exponential Notation “ x raised to the nth power”
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- 19. Exploration When a negativenumber is raised to an odd power, what is the sign of the result? When a negative number is raised to an even power, what is the sign of the result?
- 20. What do youthink?
- 21. What do youthink?
- 22. What do youthink?
- 23. What do youthink?
- 24. What do youthink?
- 25. What do youthink?
- 26. WRAP UP It’s over already: ( Why should we bother with exponential notation? Why not just write out the multiplication? Exponential notation is used for recording scientific notation of very large or very small quantities. It is indispensable for the clear magnitude of a number.