Textbook Question
Evaluate each expression. See Example 5. |3⁄2|
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0. Review of College Algebra
Solving Linear Equations
1:04 minutesProblem 6
Textbook Question
CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The numerical coefficient in the term -7yz² is ___________.
Verified step by step guidance1
Identify the term given: \(-7yz^{2}\).
Recall that the numerical coefficient is the constant number multiplying the variables in a term.
In the term \(-7yz^{2}\), the variables are \(y\) and \(z^{2}\), and the number multiplying them is \(-7\).
Therefore, the numerical coefficient is the number part without the variables, which is \(-7\).
So, the blank should be filled with \(-7\).
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Video duration:
1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Numerical Coefficient
The numerical coefficient is the constant number multiplied by the variables in a term. It represents the scalar factor without any variables or exponents. For example, in -7yz², the numerical coefficient is -7.
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Algebraic Terms and Variables
An algebraic term consists of a numerical coefficient and one or more variables raised to powers. Variables represent unknowns or quantities that can change, and their exponents indicate repeated multiplication.
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Identifying Components of a Term
To identify parts of a term, separate the numerical coefficient from the variables and their exponents. This helps in simplifying expressions and solving equations by clearly understanding each component's role.
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