Pre-Algebra Louis D Anjou

Pre-Algebra Louis D Anjou

<p>Pre-Algebra Louis D’Anjou</p><p>Exponents and Scientific Notation</p><p>Note: an where (a) = base, (n) = exponent</p><p>Rule 1: a0 = 1 Example: 20 = 1; x0 = 1; 2340 =1; 100 = 1</p><p>Rule 2: a-n = 1/an Example: x-5 = 1/x5 ; 5-3 = 1/53 =1/125, </p><p>Rule 3: am.an = am+n Example: 23. 22 = 25 = 32; x3. x5 = x8</p><p>Rule 4: am/an = am-n Example: 25/22 = 25-2 = 23; 104/102 =102 =100</p><p>Rule 5: (am)n = am.n Example: (23)2 = 26 = 64; (32)2 = 34 = 81 (10)3 =103 = 1000; (32)2 =81 </p><p>1 Pre-Algebra Louis D’Anjou</p><p>Exponents and Scientific Notation (cont’d)</p><p> Scientists have developed a shorter method to express very large or small numbers.  Scientific Notation is based on powers of the base number 10.  The standard number 123,000,000,000 in scientific notation is written as : 1.23 x 1011</p><p> The standard number 0.0000000000123 in scientific notation is written as : 1.23 x 10-11 or 1.23E-11 or as 1.23 X 10^-11  The first number 1.23 is called the coefficient.  It must be greater than 1 and less than 10.  The second number is called the base .</p><p>Example Set 2: a. 960,000 = 9.6 x 105 b. 0.00021 = 2.1 x 10-4 c. 1520 = 1.52 x 103 d. 0.000000113 = 1.13 x 10-7 e. 912,456,700 = 9.12 e+08 f. 0.0000043 = 4.3 e-06 g. 0.0073 = ? h. 437,560,000 = ?</p><p>2 Pre-Algebra Louis D’Anjou</p><p>C3) (y-3)-4 = d3) (106)-4 =</p><p>E1) x5. X9 = f1) y5. y-3 = </p><p>E2) m-6. m-4 = f2) 105. 10-2 = </p><p>E3) 36. 3-3 = f3) 2-7. 24 = </p><p>Example Set2: G1) 108/105 = h1) 25/25 = </p><p>G2) p-7/p5 = h2) k-8/k-6 = </p><p>G3) m9/m9 = h3) 665/664 = </p><p>I1) 7870 = j1) 4p0 = </p><p>I2) k0 = j2) 4x0 = </p><p>3 Pre-Algebra Louis D’Anjou</p><p>K1) (y6)3 = l1) (p8)-1 = </p><p>K2) (102)-2 = l2) (-103)-4 = </p><p>K3) (-103)-1 = l3) (-103)-1 = </p><p>M1) k5.k-2 = n1) 26.22.2-4 = </p><p>M2) 36.3.3-5 = n2) 103.10.10-7 = </p><p>M3) x4.x-2 = n3) y6.y-2.y-4 = </p><p>4</p>

View Full Text

Details

  • File Type
    pdf
  • Upload Time
    -
  • Content Languages
    English
  • Upload User
    Anonymous/Not logged-in
  • File Pages
    4 Page
  • File Size
    -

Download

Channel Download Status
Express Download Enable

Copyright

We respect the copyrights and intellectual property rights of all users. All uploaded documents are either original works of the uploader or authorized works of the rightful owners.

  • Not to be reproduced or distributed without explicit permission.
  • Not used for commercial purposes outside of approved use cases.
  • Not used to infringe on the rights of the original creators.
  • If you believe any content infringes your copyright, please contact us immediately.

Support

For help with questions, suggestions, or problems, please contact us