Algebra Notes1
1
Algebra - Is a system consisting of a set, together with operations that follow certain properties. Classification of numbers: a) Natural numbers - the set of positive whole numbers. Ex. 1,2,3,…, n b) Integers – the set of positive and negative whole numbers. Ex: 0, 1, 2, -4, -7, … c) Rational numbers – are numbers which can be expressed as quotient of two integers. Ex: - 2, 5, , 0.3, … d) Irrational numbers – are numbers which cannot be expressed as quotient of two integers. Ex: … e) Real numbers – are the set of rational and irrational numbers. f) Complex number – A complex number is a number consisting of a real part and an imaginary part. Complex numbers extend the idea of the one- dimensional number line to the two-dimensional complex plane by using the number line for the real part and adding a vertical axis to plot the imaginary part. A complex number is of the form a + bi. where: a and b are real numbers and
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Transcript of Algebra Notes1
Algebra Is a system consisting of a set, together with operations that follow certain properties.
Classification of numbers:a) Natural numbers - the set of positive whole numbers.Ex. 1,2,3,, nb) Integers the set of positive and negative whole numbers.Ex: 0, 1, 2, -4, -7, c) Rational numbers are numbers which can be expressed as quotient of two integers.
Ex: - 2, 5, , 0.3, d) Irrational numbers are numbers which cannot be expressed as quotient of two integers.
Ex: e) Real numbers are the set of rational and irrational numbers.f) Complex number A complex number is a number consisting of a real part and an imaginary part. Complex numbers extend the idea of the one-dimensional number line to the two-dimensional complex plane by using the number line for the real part and adding a vertical axis to plot the imaginary part. A complex number is of the form a + bi.
where: a and b are real numbers and
