Problem 85 List the factors in each express... [FREE SOLUTION]

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Chapter 1: Problem 85

List the factors in each expression. $$ 7 \cdot a \cdot b $$

Short Answer

Expert verified

7, a, and b

Step by step solution

Identify individual terms

The expression given is a product of multiple terms. Identify each term present in the expression.

List down the factors

The given expression is composed of the terms: 7, a, and b. These are the individual factors.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Algebraic Expressions

Algebraic expressions are combinations of numbers, variables, and arithmetic operations. For instance, the expression given in the exercise is made up of numbers and variables. Here, 7 is the number, and the letters 'a' and 'b' are variables. An important thing to note is that these elements are connected through multiplication. In algebraic expressions, elements are often called 'terms'. Terms can be constants (like 7) or variables (like 'a' and 'b'), and are connected by arithmetic operations like addition, subtraction, multiplication, or division.

Multiplication

Multiplication in algebra involves combining numbers and variables to form a product. In the given problem, we have the expression $7 \times a \times b$. Here, we multiply the constant 7 by the variables 'a' and 'b'. When multiplying, each factor is an essential component of the product.

If you multiply constants and variables:

Keep them together as one expression (like $7ab$).
Each element still represents its unique identity in the product (i.e., 7 remains as 7, 'a' as 'a', and so on).

Multiplication in algebra helps create compact and comprehensive expressions, making it easier to manipulate and solve problems.

Terms

Terms in algebra are the building blocks of expressions. In the expression $7ab$, we can identify three terms: 7, 'a', and 'b'. Each term can be:

A constant, which is a number on its own. In this case, it's 7.
A variable, which is a letter that can represent unknown values. Here, 'a' and 'b' are variables.

Sometimes, terms are combined through arithmetic operations to make more complex expressions. Understanding the individual terms helps in breaking down and simplifying algebraic expressions.

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91影视

List the factors in each expression. $$ 7 \cdot a \cdot b $$

Short Answer

Step by step solution

Identify individual terms

List down the factors

Key Concepts

Algebraic Expressions

Multiplication

Terms

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