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Complex Numbers
Key Terms and Properties for Complex Numbers
17
Mathematics
10th Grade
05/12/2012

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Term
Real Number
Definition
Any number on the number line; can be rational or irrational.
Term
Imaginary Number
Definition
The square root of a negative number, written in the form bi, in which b represents a real number and i represents √-1.
Term
Power
Definition
The result of raising a base to an exponent.
Term
Exponent
Definition
The number of times a base is used as a factor.
Term
Polynomial
Definition
The sum or difference of two or more unlike terms.
Term
Like Terms
Definition
Terms that have the same variables raised to the same exponent or root.
Term
Conjugate pair
Definition
Two complex numbers in the forms a+bi and a-bi.
Term
Distributive Property
Definition
A rule that states multiplying a sum by a number is the same as multiplying each added by the number and then adding the products.
Term

Complex Numbers (a+bi)

 

Definition
A number that has a real part, a, and a complex part, bi 
Term
Product of Powers
Definition
To multiply powers with the same base ,add the exponents.
Term
Power of a Product
Definition
Any product raised to an exponent is equal to each factor raised to that exponent.
Term
Quotient of Powers
Definition
To divide powers with the same base ,subtract the expoents. 
Term
Power of a Quotient
Definition
When a fraction is raised to a power, the denominator and the numerator are each raised to that power. 
Term
Power of a Power
Definition
When a power is raised to another power, multiply the exponents.
Term
Power of zero
Definition
Any nonzero value raised to the power of zero equals 1.
Term
Negative Powers
Definition
Any nonzero value raised to a negative power equls the reciprocal of that value with a positive exponet.
Term
Reciprocals 
Definition
Two numbers whose product is 1.
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