Operations on Sets
The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a set..
Algebraic Properties of set operations
The Algebraic Properties of set operations are: Idempotent laws, Identity laws, Commutative laws, Associative laws, Distributive laws, De Morgan's Law..
Binary Operations
Binary Operations - Binary Operations are as given below, Commutative Law Associative Law Let S be any non-empty set. An operation * is called a binary operation on S if " a, b Î S a * b Î SLet S be any non-empty set. An h..
Binary Operations
binary operation: Let S be any non-empty set. An operation * is called a binary operation on S if " a, b S a * b S Commutative law: Let * be a binary operation on the set S. * is said to be associative in S if " a..
Logical 'OR' operation
Let us refer to a circuit consisting of two switches p and q connected in parallel with a lamp and battery as shown in figure. In this case, the lamp will glow if and only if at least one of the switches is closed. In binary language we say the switch will glow if at least one of the values of p..
Let us refer to a circuit consisting of two switches p and q connected in parallel with a lamp and battery as shown in figure. In this case, the lamp will glow if and only if at least one of the switches is closed. In binary language we say the switch will glow if at least one of the values of p..Sets Summary
A set A is said to be a proper subset of set B if A is a subset of B and A is not equal to B. If A is a proper subset of B, then we write A B. In order to show that A B it is sufficient to show that each element of A is in B and there is at least one element in B, which is not i..
A set A is said to be a proper subset of set B if A is a subset of B and A is not equal to B. If A is a proper subset of B, then we write A B. In order to show that A B it is sufficient to show that each element of A is in B and there is at least one element in B, which is not i..NUMBER AND OPERATIONS
Rational numbers Factors/multiples, GCF Prime factorization Addition and subtraction Operations on fractions, decimals, integers, exponents Commutative, associative, distributive property Ratios and rates Identity and inverse properties Estimation of solutions Order of ope..
NUMBER AND OPERATIONS
Whole numbers - place value Decimals - place value Representation on a number line Equivalent/improper fractions; mixed numbers Compare and simplify fractions Decimals, percents and fractions Addition and subtraction Common and prime factors, exponents Operations on fractions an..
NUMBER AND OPERATIONS
Whole numbers - read, write, count Place value (whole numbers) Decimals, fractions, percents; compose/decompose numbers Unit and same denominator fractions Equivalent fractions Negative numbers Positive numbers Addition and subtraction Factors and products Multiplication and division sit..
Operations on Matrices
Equality of Matrices, Addition of Matrices, Matrix Addition is commutative, Matrix addition is associative, Subtraction of Matrices, Multiplication of a matrix by a scalar, Multiplication of Matrices, Properties of Matrix Multiplication, Transpose of a Matrix, Properties of Transpose, Symmetr..
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