Math 7A, Lesson 2, 9/15/2013

Weidong Posted in Fall 2013, Homework, Teaching info
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We covered the following material today:

  • Scientific Notation or Standard Form
  • Special Algebraic Rules for Calculations
  • Expanding Products

To represent a number, scientists use the form of A * 10^n where 1 <= A < 10, n is an integer. This is called scientific notation or standard form. The key point is, A must be smalled than 10 and not smaller than 1.

We talked about how to convert from a decimal form to the standard form, and vice versa. We talked about how to perform addition, subtraction, multiplication, and division with two numbers in standard form.

For special algebraic rules, we established the following three rules:

  • (a + b)^2 = a^2 + 2ab + b^2
  • (a – b)^2 = a^2 -2ab + b^2
  • (a^2 – b^2) = (a + b)*(a – b)

For expanding products, the key point we went over is the distributive law, using which one should be able to expanding products in any form.

For homework, it is on the Workbook:

  • Page 4: 11b, 11d, 11f, 12d, 12f, 12h, 15a, 15b, 15c, 15d
  • Page 5: 18a, 18b
  • Page 6: 1b, 1d, 2c, 2d, 3d, 3f
  • Page 7: 4a, 4c, 4e, 5c, 5e, 5f