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Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
Exp, Sci Not, Square Root
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Exp, Sci Not, Square Root

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7th Grade Math

7th Grade Math

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  • 1. December 2009 Exponents Square Root Scientific Notation Maybe Rational/Irrational Numbers Quiz Tuesday - 12/8 Test Friday - 12/18
  • 2. Exponents
    • Write the product as a power and describe it in words:
    • 1.) 4*4*4*4*4*4
    • 4 6 , 4 to the sixth power
    • 2.) R*R*R
    • R 3 , R to the third power or R cubed
    • 3.)7*7*7*7*7*T*T*T*T
    • 7 5 T 4 , 7 to the fifth power times T to
    • the fourth power
  • 3. Exponents
    • Evaluate the Power:
    • 4 squared
    • 5 3
    • 1 19
    • 0 4
    • 3 5
  • 4. Do Now 12/3
    • Write the product as a power and describe it in words:
    • 1.) 8*8
    • 2.) L*L*L*L*L*L*L*L
    • Evaluate the Power:
    • 3.) 6 4 4.) 11 1 5.) 2 5
  • 5. Zero Exponents
    • Zero Exponents- For any number a≠0 a 0 = 1
    • Ex 1: 5 0 =
    • Ex 2: 32,543,325 0 =
    • Ex 3: (34xpr) 0 =
    • Be Careful!!
    • Ex 4: 14xy 0 =
  • 6. Negative Exponents
    • Negative Exponents – for any integer n and any number a≠0: a -n = 1
    • a n
    • Ex 1: 3 -2 =
    • EX 2: y -6 =
    • Ex 3: r 2 t -4 =
    1 3 2 1 y 6 r 2 t 4
  • 7. Negative and Zero Exponents
    • Evaluate the Expressions:
    • 6 -2
    • (-2) -3
    • (-5) 0
    • (-3) -1
    • 4 -5
  • 8. Negative and Zero Exponents
    • Evaluate the Expressions:
    • 6) (-4) -3 * (-4) 0
    • 7) (-5) 0 * (-5) -3
    • 8) 2 -2 * -2
    • 9) (-3) -6 * 3 2
  • 9. Do Now 12/4
    • Evaluate the Expressions:
    • (-8) -3
    • (-5) 0
    • (-5) 0 * (-5) -3
    • 2 -2 * -2
  • 10. Negative Exponents
    • Simplify, write the expression using only positive exponents:
    • R -3 * R 6
    • 6m -3
    • B 4 * B -3 * B -7
    • X -2
    • X 3
  • 11. Do Now 12/7
    • Simplify, write the expression using only positive exponents:
    • R 9 * R -7
    • -2m -4 rp -8
    • B -7 * B 9 * B -6
    • X -5
    • X 2
  • 12. Exponents
    • Expand and Solve:
    • 1. 10 3
    • 2. 10 -2
    • 3. 10 7
    • 4. 10 -6
  • 13. Move the decimal to make the number greater than or equal to 1 and less than 10.
    • 1) 1589653.236
    • 2) 6523.4587
    • 3) 7865
    • 4) 0.000048
    • 5) 0.000000789
  • 14. Do Now 12/9
    • Expand and Solve:
    • 1) 10 4
    • 2) 10 -3
    • Move the decimal to make the number greater than or equal to 1 and less than 10.
    • 3) 486,000,000
    • 4) 0.00004789
  • 15. Scientific Notation S c i e n t i f i c N o t a t i o n- Used to write very small numbers (the thickness of a soap bubble) or very large numbers (the number of stars in the galaxy.)
  • 16. Scientific Notation
    • Scientific Notation is written as:
    • The product of a number (less than 10 and greater than or equal to one) and a power of ten.
    • Ex:
    • Standard Notation Scientific Notation
    • 4,320,000,000 = 4.32 * 10 9
    • 0.000056 = 5.6 * 10 -5
  • 17. Scientific Notation
    • To write a number in Scientific Notation:
    • 1) Move decimal ≥ 1 and < 10.
    • 2) Count how many spaces you moved
    • (exponent)
    • 3) Re-write number using new decimal
    • 4) Write * 10 (exponent =number of times you moved)
    • Pos exponent - If it was a large #
    • Neg exponent – If it was a small #
  • 18. Scientific Notation
    • Write in Scientific Notation:
    • 40,000,000
    • 765,000
    • 0.00086
    • 0.00000475
  • 19. Do Now 12/11
    • Write in Scientific Notation:
    • 4,206,000,000
    • 0.0000009058
    • 0.007
    • 487,500,000,000,000
  • 20. Standard Notation
    • Standard Notation- to write a number in standard notation move the decimal.
    • negative exponent move left (little)
    • positive exponent move right (big)
    • Ex: 2.304 * 10 8
    • Positive exponent – make number bigger!!
    • = 230,400,000
  • 21. Standard Notation
    • Translate from Scientific Notation into Standard Note.
    • 1. 4.65 * 10 -4
    • 2. 3.7 * 10 2
    • 3. 4 * 10 -5
    • 4. 9.6 * 10 11
    • 5. 4.005 * 10 -7
    = 0.000465 = 370 = 0.00004 = 960,000,000,000 = 0.0000004005
  • 22. Square Root
    • Square root :
    • -Every positive number has a positive
    • and negative square root.
    • √25 = 5 or -5
    • √100 = 10 or -10
    • Usually - √9= -3
  • 23. Square Root
    • Perfect Square- any number that has an integer square root.
    • Copy the chart from 1 to 15
    • What is the square root of the following:
    • Ex 1: √225
    • Ex 2: √16
    • Ex 3: √49
    • EXTRA CREDIT ON YOUR TEST – MEMORIZE PERFECT SQUARES FROM 1- 15
  • 24. Square Root
    • If its not a perfect square than you need to be able to tell which two whole numbers its in-between.
    • Ex 1: √115
    • Ex 2: √43
    • Ex 3: √8
  • 25. Do Now 12/15
    • Find the Square root, If its not a perfect square tell which two integers its in-between:
    • 1) √4
    • 2) √23
    • 3) -√36
    • 4) √81
    • 5) √41
  • 26. Square Root – Using a Calculator
    • Using a calculator find the square roots to the nearest tenth
    • 1) √8
    • 2) √56.25
    • 3) -√1256
    • 4) √236
    • 5) √20.96
  • 27. Do Now 12/16
    • Using a Calculator solve. Round to the nearest thousandth.
    • 1) √1681
    • 2) -√48.5
    • 3) √1256
    • 4) -√6241
  • 28. Solving an Equation using Square Root
    • Use Inverse operations
    • Remember : +/– ; */÷ ; x 2 / √
    • 1) x 2 =64
    • 2) 144= y 2
    • 3) p 2 + 20 = 79
  • 29. Do Now 12/17
    • 1) p 2 = 1
    • 2) 230 = y 2 + 34
    • 3) x 2 – 18 = 103

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