Maths Algebraic Expressions part 4 (Coefficients) CBSE Class 7 Mathematics VII

TL;DR

Learn about terms, factors, and coefficients in algebraic expressions, with examples of numeric and algebraic factors.

Transcript

hello friends this video on algebraic expressions part 4 is brought to you by exam feel calm no more fear from exam so now that we have learned about terms and factors let us now learn about coefficients so what are coefficients so these are numerical factors now as I mentioned just now that you will have two types of factors some factors would be ... Read More

Key Insights

• 😑 Terms are the individual parts of an algebraic expression that are added together.
• 🧑‍🏭 Factors are the components of a term that are multiplied together.
• 🧑‍🏭 Coefficients are the numeric factors of a term and can include variables.
• 😑 Coefficients are specific to each term in an algebraic expression.
• 🧑‍🏭 The coefficient of a variable is the numeric factor multiplied by the variable in a term.
• 🧑‍🏭 Factors can be numeric or algebraic, depending on whether they involve numbers or variables.
• 💼 Coefficients can include both numbers and variables in certain cases.

Questions & Answers

Q: What are terms in an algebraic expression?

Terms are the individual parts of an algebraic expression that are joined together with addition or subtraction. In the given example, the expression 13 - y + 5y square has three terms: 13, -y, and 5y square.

Q: What are factors in algebraic expressions?

Factors are the components of a term that are multiplied together. In the example, the factors of the term 5y square are 5, y, and y. Factors can be numeric or algebraic, depending on whether they involve numbers or variables.

Q: How do you determine the coefficient of a variable in a term?

The coefficient of a variable is the numeric factor that is multiplied by the variable in a term. For example, in the term 3x + 2y, the coefficient of x is 3 and the coefficient of y is 2.

Q: Can coefficients include variables?

Yes, coefficients can include variables. In certain cases, terms may involve multiple variables, and the coefficient includes both numbers and variables. For example, in the term 4xy, the coefficient of x is y, and the coefficient of y is x.

Summary & Key Takeaways

• Terms are parts of an algebraic expression that are added together to form the expression.

• Factors are the components of a term, which can be numeric or algebraic.

• Coefficients are the numeric factors of a term and are specific to each individual term.