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Algebra
Storyboard

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ID:(418, 0)


Basic Algebra
Description

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Laws in physics are formulated in abstract form, that is, establishing relationships between variables that can assume any value. Algebra gives us the rules to manipulate these expressions and obtain new expressions as necessary.

ID:(491, 0)


Equality of Variables
Equation

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In case two variables a and b are equal, the sign = is used to indicate this fact:

$a=b$

ID:(3305, 0)


Operation of the Sum
Equation

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$c = a+b$

ID:(3301, 0)


Operation Subtraction
Equation

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$c=a-b$

ID:(3302, 0)


Commutativity of the Sum
Equation

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$a+b=b+a$

ID:(3304, 0)


Element Inverse of the Sum
Equation

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$b+(-b)=0$

ID:(3303, 0)


Operation Multiplication
Equation

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$c=a*b$

ID:(3306, 0)


Commutativity of Multiplication
Equation

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$a*b=b*a$

ID:(3312, 0)


Element Inverse Multiplication
Equation

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$b*(b^{-1})=1$

ID:(3307, 0)


Operation of Division
Equation

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$c=\displaystyle\frac{a}{b}$

ID:(3308, 0)


Operation Power
Equation

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$c=a^b$

ID:(3309, 0)


Multiplying Powers
Equation

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$a^{b_1}a^{b_2}=a^{b_1+b_2}$

ID:(3311, 0)


Inverse Element of Power
Equation

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$a^{b+(-b)}=a^{b-b}=a^0=1$

ID:(3310, 0)


Special case of zero Exponent
Equation

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$a^0=1$

ID:(3313, 0)