CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The numerical coefficient in the term -7yz² is ___________.

Verified step by step guidance

1. Identify the term given: \(-7yz^{2}\).
2. Recall that the numerical coefficient is the constant number multiplying the variables in a term.
3. In the term \(-7yz^{2}\), the variables are \(y\) and \(z^{2}\), and the number multiplying them is \(-7\).
4. Therefore, the numerical coefficient is the number part without the variables, which is \(-7\).
5. So, the blank should be filled with \(-7\).

Key Concepts

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.

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.

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.