QQuestionMathematics
QuestionMathematics
In the algebraic expression 7x, 7 is called the coefficient because it is the numerical part.
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Step 1:I'll solve this problem step by step, following the precise LaTeX and formatting guidelines you specified:
Step 2:: Understanding the Term "Coefficient"
In the algebraic expression $$7x$$, the number 7 is called the coefficient.
A coefficient is the numerical factor of a term that multiplies the variable.
Step 3:: Breaking Down the Components
- Complete term: $$7x
- Variable part: x
Step 4:: Characteristics of the Coefficient
- In this case, $$7$$ means the variable $$x$$ is multiplied by 7
- The coefficient indicates how many times the variable is multiplied - Coefficients can be positive, negative, or fractional
Step 5:: Additional Examples
- In $$\frac{1}{2}w$$, $$\frac{1}{2}$$ is the coefficient
- In - 2z, - 2 is the coefficient
Final Answer
In the algebraic expression 7x, 7 is the coefficient because it is the numerical factor that multiplies the variable x.
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