Given the expression ( frac{1}{3} bwh ), complete two descriptions …

Mathematics Questions

Consider the expression 1/3 bwh complete 2 descriptions of parts of the expressionThe entire expression is the product of : 3 factors, 4 factors ,3 terms or, 4 termsin this context , 1/3 is a variable , term , or a coefficiantWILL GIVE BRAINLIEST

Short Answer

The expression ( frac{1}{3}bwh ) consists of four factors: a numerical coefficient ( frac{1}{3} ) and three variable factors ( b ), ( w ), and ( h ). The coefficient influences the overall value of the product when values for the variables are provided, highlighting its importance in algebraic expressions.

Step-by-Step Solution

Step 1: Identify the Factors

The given expression is 1/3bwh, which is composed of several elements that contribute to its overall value. In this case, there are four distinct factors that make up the expression. These factors are:

  • 1/3 – the numerical coefficient
  • b – a variable factor
  • w – another variable factor
  • h – yet another variable factor

Step 2: Understand the Role of the Coefficient

In the expression 1/3bwh, the factor 1/3 serves a specific purpose. It is a coefficient because it is a number that multiplies the variables. The coefficient influences the overall value of the product, thereby affecting the outcome when the values of b, w, and h are substituted.

Step 3: Conclude the Expression’s Composition

Putting this all together, we see that the expression 1/3bwh is indeed the product of four factors where 1/3 is the coefficient. This understanding is crucial when working with algebraic expressions as it allows for clearer manipulation and analysis of numerical and variable components.

Related Concepts

Factor

An individual component of a mathematical expression that, when multiplied together with other factors, results in the overall value of that expression.

Coefficient

A numerical factor that multiplies a variable in an expression, influencing the overall value by scaling the product of the variable factors.

Variable

A symbol, often representing an unknown or changeable value, that can take on different numerical values in mathematical expressions.

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