Introduction to learn about algebraic expressions:
The Expressions are a central concept in algebra. A variable can take various types of values. Its values are not fixed. Otherwise, a constant has a fixed value. We combine variables and constants with operations this forms the algebraic expressions. For this, we can use the operations of addition, subtraction, multiplication and division. We have already known some simple algebraic expressions like y + 3, p – 5, 4a + 5, 10y – 5a and so on. The above expressions were formed by combining variables with constants.
Learn about Terms of an Expression
When terms have the same algebraic factors, they are like terms. When terms have different algebraic factors, they are unlike terms. For example, in the expression 5xy – 8x + 7xy – 17.
Learn about Like terms:
5xy and 7xy because the factors of 5xy are 5 and x and y. and factors of 7xy are 7 and x and y both factors are same. So these are like terms.
Learn about Unlike terms:
The terms 5xy and –8x, have different algebraic factors. They are unlike terms. Similarly, the terms, 5xy and -17 are unlike terms. Also, the terms –8x and -17 are unlike terms.
Learn about Coefficient of the Term:
The numerical factor is said to be the numerical coefficient or simply the coefficient of the term. The above example the coefficient of x is -8.
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Learn about Kinds of Expressions
Monomial Expression:
An expression with one term is called a monomial. For example, 5pq, 10z,
Binomial Expression:
An expression, it contains two unlike terms is called a binomial. For example,
a + b, b – 5
Trinomial Expression:
An expression, it contains three terms is called a trinomial. For example, the expressions p + q + 17, a b + a +b
Polynomial Expression:
An expression with one or more terms is known as a polynomial. Thus, a monomial, a binomial and a trinomial are all the type of polynomials. For Example: 4x^3+x^2+7x+2
The Expressions are a central concept in algebra. A variable can take various types of values. Its values are not fixed. Otherwise, a constant has a fixed value. We combine variables and constants with operations this forms the algebraic expressions. For this, we can use the operations of addition, subtraction, multiplication and division. We have already known some simple algebraic expressions like y + 3, p – 5, 4a + 5, 10y – 5a and so on. The above expressions were formed by combining variables with constants.
Learn about Terms of an Expression
When terms have the same algebraic factors, they are like terms. When terms have different algebraic factors, they are unlike terms. For example, in the expression 5xy – 8x + 7xy – 17.
Learn about Like terms:
5xy and 7xy because the factors of 5xy are 5 and x and y. and factors of 7xy are 7 and x and y both factors are same. So these are like terms.
Learn about Unlike terms:
The terms 5xy and –8x, have different algebraic factors. They are unlike terms. Similarly, the terms, 5xy and -17 are unlike terms. Also, the terms –8x and -17 are unlike terms.
Learn about Coefficient of the Term:
The numerical factor is said to be the numerical coefficient or simply the coefficient of the term. The above example the coefficient of x is -8.
Please express your views of this topic Subtracting Decimals by commenting on blog.
Learn about Kinds of Expressions
Monomial Expression:
An expression with one term is called a monomial. For example, 5pq, 10z,
Binomial Expression:
An expression, it contains two unlike terms is called a binomial. For example,
a + b, b – 5
Trinomial Expression:
An expression, it contains three terms is called a trinomial. For example, the expressions p + q + 17, a b + a +b
Polynomial Expression:
An expression with one or more terms is known as a polynomial. Thus, a monomial, a binomial and a trinomial are all the type of polynomials. For Example: 4x^3+x^2+7x+2