/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 22 In each term, give the numerical... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 22

In each term, give the numerical coefficient. \(9 n^{6}\)

Short Answer

Expert verified
The numerical coefficient is 9.

Step by step solution

01

Identify the Coefficient

In any algebraic expression, the coefficient is the numerical part that multiplies the variable. In this case, the term is given as \(9 n^{6}\).
02

Extract the Coefficient

Ignore the variable part \(n^{6}\) and look only at the number in front of it. This number is the numerical coefficient.
03

Conclusion

The numerical coefficient of the term \(9 n^{6}\) is \(9\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Numerical Coefficient
A numerical coefficient is the number part of an algebraic term that multiplies the variable. It's important to recognize and separate this value when working with algebraic expressions. For example, in the term \(9n^6\), the numerical coefficient is \(9\). This means that \(9\) is the factor that multiplies the variable part, which in this case is \(n^6\). Identifying the numerical coefficient can help in simplifying and solving algebraic expressions effectively.
Variables in Algebra
Variables in algebra are symbols used to represent numbers in expressions and equations. They are usually denoted by letters, such as \(x\), \(y\), or \(n\). Variables are placeholders for values that can change or vary. For instance, in the term \(9n^6\), \(n\) is the variable. This means that \(n\) can take different numerical values. Variables are crucial in algebra because they allow us to generalize mathematical concepts and solve problems involving unknown quantities.
Algebraic Terms
An algebraic term is a combination of numbers and variables connected by multiplication. Each term consists of a numerical coefficient and a variable part. For example, in the term \(9n^6\), \(9\) is the numerical coefficient and \(n^6\) is the variable part. Algebraic terms are the building blocks of algebraic expressions. An expression can have one or multiple terms. Understanding the components of an algebraic term is essential when performing operations such as addition, subtraction, multiplication, and division in algebra.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve each problem. Both Alabama and Ohio are projected to lose 1 seat in the U.S. House of Representatives in 2020 . The states projected to gain the most seats are Texas with 4 and Florida with \(2 .\) Write a signed number that represents the algebraic sum of these changes. (Data from Election Data Services.)

Perform each indicated operation. \(\frac{-5(2)+[3(-2)-4]}{-3-(-1)}\)

Write a numerical expression for each phrase, and simplify the expression. The sum of 12 and \(-7,\) decreased by 14

Write each sentence as an equation, using \(x\) as the variable. Then find the solution of the equation from the set of integers between -12 and \(12,\) inclusive. An integer is divisible by 5 if its last digit is divisible by \(5,\) and not otherwise. (a) Is 9,332,123 divisible by \(5 ?\) (b) Is 3,774,595 divisible by \(5 ?\)

Use the distributive property to rewrite each expression. $$ 5(w+4) $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.