Number system Flashcards
(24 cards)
What is the definition of Algebra?
The branch of mathematics which deals with the study of formal manipulations of equations involving symbols and numbers.
What is a Prime Number?
A number whose only factors are the number itself and one.
What is the only even prime number?
2.
What are the three types of numbers in the number system?
- Real Numbers
- Imaginary Numbers
- Complex Numbers
What are Real Numbers?
Natural numbers or counting numbers, classified into Rational and Irrational numbers.
What are Imaginary Numbers denoted by?
i or j, which represents the square root of -1.
What are Complex Numbers?
A combination of real and imaginary numbers.
How can Rational Numbers be expressed?
As a ratio of two numbers or a fraction.
What is a Proper Fraction?
A fraction whose value is smaller than 1.
What is an Improper Fraction?
A fraction whose value is greater than 1.
What is a Mixed Number?
A number containing an integer and a proper fraction.
What are Irrational Numbers?
Numbers that cannot be expressed as a ratio of two numbers and never terminate or repeat.
What is the definition of Absolute Value?
The magnitude of a variable without regard to sign; the distance from zero on a number line.
What is the Reflexive property of equality?
a = a.
What is the Symmetric property of equality?
If a = b, then b = a.
What is the Transitive property of equality?
If a = b and b = c, then a = c.
What is the Addition property of equality?
If a = b, then a + c = b + c.
What is the Multiplication property of equality?
If a = b, then ac = bc.
What is the Substitution property?
If a = b, then a can be replaced by b in any mathematical statement without changing the value.
What is the Closure property of Real Numbers?
a + b = integer and ab = integer (for addition and multiplication).
What is the Commutative property?
- a + b = b + a (addition)
- ab = ba (multiplication)
What is the Associative property?
- a + (b + c) = (a + b) + c (addition)
- a(bc) = (ab)c (multiplication)
What is the Identity property?
- a + 0 = a (addition)
- a • 1 = a (multiplication)
What is inverse property?
a
