/*! 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 6 Identify each as a sum, differen... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 6

Identify each as a sum, difference, product, or quotient. \(x\) divided by 12

Short Answer

Expert verified
The presented operation is a quotient.

Step by step solution

01

Understand the terminology

First, focus on understanding that the expression 'divided by' represents a division operation in mathematics. The problem is indicating that \(x\) is being divided by 12.
02

Identify the operation

Now that the 'divided by' term has been understood as indicating division, classify the operation as such. In mathematics, the result of a division operation is referred to as a 'quotient'.
03

Conclude

Therefore, the operation expressed by the exercise, \( \frac{x}{12} \), is a quotient.

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.

Understanding the Quotient
In mathematics, the word 'quotient' refers to the result you get when one number is divided by another. It鈥檚 a fundamental part of division. For example, if you divide 8 by 2, the quotient is 4.

To illustrate further with variables, consider the expression \( \frac{x}{12} \). Here, \( x \) is the dividend, 12 is the divisor, and the value you calculate is the quotient.
  • Quotient: the result of division
  • Dividend: the number being divided
  • Divisor: the number you are dividing by

Understanding these terms helps in solving division problems and identifying expressions like \( x \) divided by 12 as a quotient.
Grasping Key Mathematics Terminology
Mathematics uses specific terminology that helps to accurately describe operations and relationships. Terms such as 'sum', 'difference', 'product', and 'quotient' clearly define different operations.

The division operation, indicated by phrases like 'divided by', results in a quotient. Recognizing these terms helps you categorize mathematical expressions correctly. For instance, when a problem states 'x divided by 12', it leads us to categorize it under division, aiming to find the quotient.
  • Sum: result of addition
  • Difference: result of subtraction
  • Product: result of multiplication
  • Quotient: result of division

Mastering this terminology improves comprehension and facilitates problem-solving in mathematics.
Exploring Division Operation Concepts
Division is one of the four basic arithmetic operations and involves splitting a number into equal parts. When \( x \) is divided by 12, the primary goal is to determine how many times 12 fits into \( x \), which gives us the quotient.

This operation can be seen in different forms, whether as fractions like \( \frac{x}{12} \), or using the division symbol \( x \div 12 \). Each of these notations represents the same division operation.
  • Fraction form: \( \frac{x}{12} \)
  • Symbol form: \( x \div 12 \)

Understanding these concepts is essential for identifying and solving division problems. It clarifies the operation and leads to the correct calculation of the quotient.

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

In what situations would it be better to leave an answer in the form of an improper fraction?

Which property of real numbers justifies each statement? $$(x+y)+z=z+(x+y)$$

Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction. $$8 \cdot 2 \geq 8 \cdot 1$$

A high-efficiency home heating system can be installed for \(\$ 4,170,\) with an average monthly heating bill of \(\$ 57.50 .\) A regular furnace can be installed for \(\$ 1,730,\) but monthly heating bills average \(\$ 107.75 .\) After three years, which system has cost more altogether?

Use the given property to rewrite the expression in a different form. SEE EXAMPLE \(6 .\) (OBJECTIVE 5 ) \((x+y) z ;\) commutative property of addition.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Statistics

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.