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Algebra



Contents
 
  • Day 3, WarmUp Exercises
  • Meaning of "A Number"
  • Day 4, WarmUp Exercises
  • Algebra - a mathematics of constants & variables
  • Multiplication Symbols
  • Multiplication & Division of Signed Numbers
  • Exercises


Day 3- Warm Up
 
RECOPY WHATEVER YOU DON’T SIMPLIFY
 
ANY NUMBER TO THE ZERO POWER,
OTHER THAN ZERO,
IS 1.
 
 
THINK MONEY!
(WHEN COMPUTING FRACTIONS).
 
Simplify.
1.)
    MouseOver for answer: 13.5
 
2.) 0 ÷ 4 0         3.) 4 ÷ 0 undefined         4.) 2 ÷ 4 1/2        
 
5.) (4 ÷ 12)(3 - 402/3         6.) 40


A Number

“a number” = “ x”
or y, z, a, b, a variable number
not 2,3, 5 a constant number



A Number

“a number” = “ x”
or y, z, a, b, a variable number
not 2,3, 5 a constant number

        For additional info, read "A Number" Doesn't Mean "Any Old Number."     Algebra begins with this idea. Yes, all the rules of arithmetic hold in algebra, but, the most important idea of variable is introduced.

        For additional info, read Know The Invisible (Understood) Ones.     Yes, it looks like an "x" but the invisible ones surrounding the "x" facalitate computation. Examine the understood but unwritten coefficient, exponent, and divisor of 1.



Day 4, WarmUp Exercises
Simplify
1.)  [(4 + 2)2(3 - 1) ÷ 8 - 32] ÷ 9   0
 
2.)   4 + 42 + 40 + 41 23
 
3.)     7/5


Algebra - a mathematics of constants & variables
algebra - a mathematics of variables rather than a mathematics with only constant numbers.
              Numbers               
constants

    1     0     -1
    9     2
    18.2     20/10     2.3
1 =1
2 is about 1.414
3 is about 1.732
4 = 2
variables

        x         n     y     z      
    a     b
  this.form.c.value


Multiplication Symbols


Signed Number Multiplication or Division
Multiplication or Division
(+)(-) = (-)
(-)(-) = (+)
(+)(+) = (+)
(-)(+) = (-)
 
          Count the number or negative signs to be multiplied or divided.
    If you have an ODD number of NEGATIVE SIGNS the result is NEGATIVE.
    If you have an EVEN number of NEGATIVE SIGNS the result is POSITIVE.


Exercises
Simplify. MouseOver for answers.
1.     (- 3)(- 2)÷(- 1)     - 6
2.     (-3)(4)     - 12
3.     - 5(6 - 2)     - 20
4.     (-5)2     25
5.     - 52     - 25
 



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