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Negative Bases 5 -2 = 1/25

Essential Question : What affect does a negative base have on an answer? What affect does a negative exponent have on an answer?. Negative Bases 5 -2 = 1/25. Essential Question : What affect does a negative base have on an answer? What affect does a negative exponent have on an answer?.

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Negative Bases 5 -2 = 1/25

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  1. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? • Negative Bases 5-2 = 1/25

  2. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? Vocabulary –Shoot For The Stars 30 seconds • I got this! I know this word AND I could even teach it to somebody else. • I think I know this word, but I need more practice. • I am clueless! I have no idea what this word means.

  3. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? VOCABULARY Reciprocal: _________________________________ Unit Fraction: _________________________________ The flip flop version of a number, where the numerator and denominator switch places. I.E. Reciprocal of 2 is ½ A fraction that has 1 as the numerator. I.E. 1/3, or ¼ or 1/5 are all unit fractions.

  4. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? Quick Review

  5. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:

  6. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? WHEN DIVIDING LIKE BASES, YOU SUBTRACT THE EXPONENTS. FOR EXAMPLE: NOW YOU TRY:

  7. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? ANY NUMBER RAISED TO THE FIRST POWER IS ITSELF. FOR EXAMPLE: NOW YOU TRY:

  8. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? ANY NUMBER RAISED TO THE ZERO POWER IS ONE. FOR EXAMPLE: NOW YOU TRY:

  9. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? Excluded Signs Excluded signs are not included in the operation. It simply means the Oppositeof… Ex. -52 = the opposite of 52 Therefore, -52 = -25

  10. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? Included Signs Included signs are included in the operation. It means whatever is happening to the number is also happening to the sign. Ex. (-5)2 = (-5) x (-5) = 25

  11. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? Commercial Break • Quote of the Day: • “Today I shall behave as if this is the day that I will be remembered for.” • Dr. Seuss

  12. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? Now the NEW

  13. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? ANY INTEGER RAISED TO A NEGATIVE EXPONENT IS THE RECIPROCAL OF THAT ANSWER. FOR EXAMPLE: NOW YOU TRY:

  14. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? ANY INTEGER RAISED TO NEGATIVE EXPONENT IS THE RECIPROCAL OF THAT ANSWER…. But WHY?

  15. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? Quick Write • What is the difference between -23 and 2-3 ?

  16. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? WHEN RAISING A POWER TO A POWER, YOU MULTIPLY THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:

  17. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? Power Raised to a Power FOR EXAMPLE: NOW YOU TRY:

  18. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? • A negative base affects an answer by the fact that it determines the sign of the answer. • A negative exponent affects an answer by the fact that it determines the answer’s position on a fraction bar since a negative exponent is equivalent to the reciprocal of the answer. • A NEGATIVE EXPONENT HAS NOTHING TO DO WITH THE SIGN OF THE ANSWER!!!!

  19. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? THINK / PAIR / SHARE Does a negative exponent mean that your answer Will be negative? Why or why not? • Step 1 – Spend 20 seconds thinking silently about the Essential Question. • Step 2 – Spend 30 seconds pairing up with your learning partner. • Step 3 – Volunteer to share your answer with the class… Volunteers will receive a Goodybuck.

  20. Essential Question: What affect does a negative base have on an answer? What affect does a negative exponent have on an answer? GIST:Then write 3-4 sentences to answer the GIST Summary E.Q.

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