Mathematics

1
Mathematics

• Scientific notation uses decimal fractions-6 1/2
  becomes 6.50
• When you use scientific notation, round off to
  the last two numbers following the decimal...
• Example 6.23956 becomes--
• 6.24

2
Mathematics--some of the rules

• A number raised to a power, the exponent tells
  you how many times a number is multiplied by
  itself
• EXAMPLE 23 means 2 x 2 x 2 or 8
• When multiplying numbers with exponents, you
  multiply the numbers and add the exponents
• (ax) (ay) axy

3

• When dividing number with exponents, multiply the
  numbers, and subtract the exponents
• (ax) / (ay) ax-y

4
Dance of the Decimals and Power Changes

• If you move the decimal to the LEFT, you add the
  corresponding movements to the power of
  10...Example...
• 7,300,000.00 7.30 x 106

6 steps to the left
Therefore, add 6 to the power of ten... In this
case, 10 to the 6th
5
Ratios, Fractions, Proportions

• A ratio is no more than comparison of two
  entities such as numbers (synonyms fraction or
  proportion)
• A fraction is by its own terminology, a part of a
  whole. Can be represented as one number over the
  other...numerator over denominator...or as a
  decimal (synonyms ratio or proportion)

6
Ratios, Fractions, ProportionsPercentage

• Proportion is no more than a ratio, or a
  comparison of two numbers or entities (synonyms
  fraction and ratio)
• Percentage is no more than a decimal fraction
  multiplied by 100 equalling the percentage of
  the whole...
• Example of percentage...1/2 0.5 x 100, which
  equals 50 (of the whole)

7
Algebra

• The mathematics of logic
• A step-by-step approach to problem solving
• 2x 5 15 (to solve this, x must be left on
  its own...therefore
• 2x 5 - (5) 15 - (5)...
• 2x 10...
• dividing both sides by 2, we get
• x 5

8
Algebra...the things you need to remember

• When an equals sign appears between the right and
  left sides of the equation, whatever you do
  (mathematically) to one side, you MUST do on the
  other
• Algebra is nothing more than stating a logical
  argument,without words, using mathematics to
  problem solve...
• This helps you develop your left brain function