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Hello , Natasha!

Hello , Natasha!. This is Mrs. Bisanz. I will be your teacher today!. OUR LESSON: Powers and Exponents. Warm Up. List all the factors of 35. 1, 5, 7, Is 120 divisible by 8? Yes 15 x 8 = 120 What is 52.35 x 12.5 = 654.375 82.001 – 34.9 = 47.101. Lets us review about Factors.

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Hello , Natasha!

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  1. Hello, Natasha! This is Mrs. Bisanz. I will be your teacher today! OUR LESSON: Powers and Exponents Confidential

  2. Warm Up • List all the factors of 35. 1, 5, 7, • Is 120 divisible by 8? Yes 15 x 8 = 120 • What is 52.35 x 12.5 = 654.375 • 82.001 – 34.9 = 47.101 Confidential

  3. Lets us review about Factors A whole number that divides exactly into another whole number is called a factor of that number. For example 100 /25 = 4 So, 25 is a factor of 100 20 / 4 = 5 So, 4 is a factor of 20 Confidential

  4. Revision If a number can be expressed as a product of two whole numbers, then the whole numbers are called factors of that number. 20 = 1 x 20 = 2 x 10 = 4 x 5 So, the factors of 20 are 1, 2, 4, 5, 10 and 20. Confidential

  5. Lets get Started with Powers and Exponents If you recall we used exponents while representing numbers in scientific notations like 5 x 103 = 5000 So 10 to the power of 3 is 10 x 10 x 10 = 1000 And 5 x 1000 = 5000 Confidential

  6. Powers and Exponents Exponent 46 Base The exponent is sometimes referred to as the power. Confidential

  7. Let us understand what does 46 mean ? 46 means to multiply the base 4 by itself 6 times 46 = 4 x 4 x 4 x 4 x 4 x 4 Confidential

  8. Exponents So if we change the exponents we get 1.) 46 = 4x4x4x4x4x4 2.) 43 = 4 x4 x 4 3.) 41 = 4 4.) 40 = 1 Confidential

  9. Now -a x -a x -a = -a3 and a x a x b x a x b x c = a3b2c Remember –(3)4 = (-3)4 / Confidential

  10. Lets us take some more examples 1. 2 • 2 • 2 • 2 • 2 • 2 • 2 = 27 2. (-3) (-3) (-3) (-3) = (-3)4 a4 m3 3. a • m • m • a • m  • a • a = 22 p2 r3 4. p • 2 • r • r • r  • p • 2 = Confidential

  11. Now you try some examples a x a x a =a3 2 x 2 x b x b x 6 x 6 =22b262 -3 x -3 x c x c x -3 =(-3)3c2 2x3 + 4y (x = -2 ; y = 3) = 192 Confidential

  12. Break Confidential

  13. Click here to play Game Confidential

  14. Which option will you take if you are given to choose between $1000 or doubling your dollars each day for 10 days ? • Option 2 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023 • So option 2 is better Confidential

  15. 2. A boy gets 80 marks in two subjects and 73 marks in three subjects. What is his final score? 802 + 733 = 379 Confidential

  16. 3. Evaluate 1) (2+3)2 – (-3)2 - (2)4 = 0 2) (ab)3 - (ac)3 = (-243) if a = -3, b = 2 and c = -1 Confidential

  17. Lets review what we have learnt today Exponent or Power 26 Base Here 2 is the Base and 6 is the Power of 2 Confidential

  18. 26 can be written as 26 = 2 x 2 x 2 x 2 x 2 x 2 and 20 = 1 Any number to the power 0 is equal to 1 Confidential

  19. Great Job Today! Remember to practice what you have learned! Confidential

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