Problem 86 List the factors in each express... [FREE SOLUTION]

Chapter 1: Problem 86

List the factors in each expression. $$ m \cdot n \cdot 2 $$

Short Answer

Expert verified

The factors are $ m, n, 2 $.

Step by step solution

Identify the terms

Examine the expression given. The expression is: \[ m \times n \times 2 \]Each term (or factor) is separated by a multiplication symbol.

List individual factors

List each term separately as a factor. The terms in the expression are:\[ m, n, 2 \]

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Key Concepts

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

factors

In algebra, a factor is a number or expression that divides another number or expression evenly鈥攚ithout leaving any remainder. When we factor algebraic expressions, we are breaking them down into simpler components that, when multiplied together, give the original expression. For example, in the expression $ m \times n \times 2 $, each element multiplied is considered a factor:

\texttt{m}
\texttt{n}
\texttt{2}

These individual parts are factors as they can multiply together to recreate the entire expression.

multiplication

Multiplication is one of the basic operations in algebra, allowing us to combine multiple numbers or expressions. It often helps simplify complex problems. In the given exercise, we have factors (\texttt{m}, \texttt{n}, and \texttt{2}) that are combined using multiplication. When you see an expression like $ m \times n \times 2 $, this means:

\texttt{m} is multiplied by \texttt{n}
The result is then multiplied by \texttt{2}

Understanding how multiplication works is crucial for factoring and simplifying algebraic expressions. Each factor is multiplied to contribute to the total product.

algebraic expressions

An algebraic expression is a mathematical phrase that can include numbers, variables (like \texttt{m} and \texttt{n}), and operation symbols (like +, -, and 脳). In the expression $ m \times n \times 2 $, we have an algebraic expression consisting of:

Two variables (\texttt{m} and \texttt{n})
One numeric constant (\texttt{2})

The entire expression shows how the factors are combined through multiplication. Recognizing how to break down and interpret these expressions is key to understanding and solving algebra problems. Algebraic expressions can vary greatly in complexity, but the fundamental principles of factors and multiplication remain consistent throughout.

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91影视

List the factors in each expression. $$ m \cdot n \cdot 2 $$

Short Answer

Step by step solution

Identify the terms

List individual factors

Key Concepts

factors

multiplication

algebraic expressions

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