Pre-Algebra: Sub topic I
Description
Numbers
Description
Operations
Description
Laws of Arithmetic
Description
Alternative Ways of Expressing Operations
Description
Inverse Operations
Use to isolate a variable in equations.
Basic Operations
Addition, Subtraction, Multiplication, Division, Powers, Roots
Order of Operations
Parentheses, Exponents/Roots (left to right), Multiplication/Division (left to right), Addition/Subtraction (left to right)
A SUM is....
the result of an addition
A PRODUCT is....
the result of a multiplication
Division <=> Multiplication
Any division can be expressed as a multiplication (and vice versa)
Subtraction <=> Addition
Any subtraction can be expressed as an addition (and vice versa)
Root <=> Power
Every root can be expressed as a power
Title
Dividing by 6 is the same as multiplying by 1/6
Title
Subtracting 6 is the same as adding negative 6
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Taking the square root of 9 is the same as raising 9 to the 1/2 power
Integers
All positive & negative WHOLE numbers and zero.
Rationals
Any number that can be expressed as a fraction.
Reals
Any number you could place on the number line (including unending decimals like Pi).
Operations that don't produce Real Numbers
Dividing by zero and taking the square root of a negative.
Commutative Law
Order doesn't matter when adding or multiplying.
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