Signed numbers

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Unique lessons for students experiencing difficulty learning math concepts.

Signed Numbers “Mathematical Operations using Positive and Negative Numbers”

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SET A set is a well defined collection of objects, called the “elements” or “members” of the set. A specific set can be defined in two ways- If there are only a few elements, they can be listed individually, by writing them between curly braces ‘{ }’ and placing commas in between. E.g.- {1, 2, 3, 4, 5} The second way of writing set is to use a property that defines elements of the set. e.g.- {x | x is odd and 0 < x < 100} If x is an element o set A, it can be written as ‘x  A’ If x is not an element of A, it can be written as ‘x  A’ Special types of sets- Standard notations used to define some sets: N- set of all natural numbers Z- set of all integers Q- set of all rational numbers R- set of all real numbers C- set of all complex numbers TYPES OF SETS -subset -singleton set -universal set -empty set -finite set -infinte set -eual set -disjoint set -cardinal set -power set OPERATIONS ON SET The four basic operations are: 1. Union of Sets 2. Intersection of sets 3. Complement of the Set 4. Cartesian Product of sets Union of two given sets is the smallest set which contains all the elements of both the sets. A  B = {x | x  A or x  B} Let a and b are sets, the intersection of two sets A and B, denoted by A  B is the set consisting of elements which are in A as well as in B A  B = {X | x  A and x  B} If A  B= , the sets are said to be disjoint. If U is a universal set containing set A, then U-A is called complement of a set.

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