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EXPONENTS

EXPONENTS. GLE 0606.3.3 * Use exponents In order of operations. SPI 0606.3 *Use order of operations to simplify expressions and solve problems. Which gift do you want?.

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EXPONENTS

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  1. EXPONENTS GLE 0606.3.3 * Use exponents In order of operations. SPI 0606.3 *Use order of operations to simplify expressions and solve problems

  2. Which gift do you want? • Richie Rich celebrates his birthday on June 1st. This year his parents have given him his choice of gifts. He can choose ONE of the following options: • Option 1: His parents will give him $500,000 on June 1st. OR • Option 2: His parents will deposit $2 in a savings account on June 1st. Each day they will double the amount in that account until the end of the month. On June 30th Richie can have whatever money that has accumulated in theaccount.

  3. ** Goal for the day ** • You will learn what an exponent is and how to write and solve exponents to represent repeated multiplication. • When you leave today, you will be able to say: • I can write expressions using exponents. • I can evaluate expressions containing exponents.

  4. Take a look at this….

  5. THERE’S GOT TO BE A BETTER WAY!

  6. There is a better way  • Instead of writing out those factors SO many times, we can use EXPONENTS! Exponents will save the day and our time! • Writing numbers in EXPONENTIAL NOTATION is an easier way to write a number as a product of many factors

  7. What is an exponent? • An EXPONENT tells how many times a number is used as a factor. This number can also be called a POWER. • EXPONENTS will indicate how many times the base is multiplied by itself. • A BASE is the number that is multiplied by itself.

  8. What does this look like? Exponent- indicate how many times the base is multiplied by itself. Base - is the number that is multiplied by itself So the exponent 3 will tell you how many times to multiply the base, 5, by itself. So is the same as 5x5x5.

  9. Try some more… • Write the following expressions using exponents: • 6x6x6x6 • (-8) x (-8) x (-8)

  10. WAIT…

  11. Reflection time • When writing an expression in exponential form, how do you know which number to use as the base and which number to use as an exponent?

  12. Discussing Forms for numbers

  13. Your turn

  14. Look at this figure How would this look in expanded form? What about exponential form? How many squares are in this quadrilateral?

  15. How about this figure? How would this look in expanded form? What about exponential form? How many squares are in this quadrilateral?

  16. Rules of Exponents

  17. Explain

  18. Calculator Time • Calculators can be used to evaluate exponential expressions. • Does anyone know how to insert an exponent into their calculators?

  19. What should Richie rich do? • Let’s talk about Richie Rich’s options a little more now… • Option 1: His parents will give him $500,000 on June 1st. • Option 2: His parents will deposit $2 in a saving account on June 1st. Each day, they will double the amount in that account until the end of the month. On June 30th, Richie can have whatever money has accumulated in the account.

  20. Real-Life application • Have you ever heard of square footage? • What about cubic feet and cubic meters? • All of these are ways that we use exponents on a regular basis.

  21. Ticket out the door • Answer the following question on a loose piece of paper: • What are exponents and how do we use them to write and solve problems with repeated multiplication?

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