/*! 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 12 Simplify expression. Then identi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 12

Simplify expression. Then identify the dividend, divisor, and quotient. \(32 \div 4\)

Short Answer

Expert verified
The dividend is 32, the divisor is 4, and the quotient is 8.

Step by step solution

01

Title - Understand the Problem

The expression given is a division problem: \(32 \div 4\). The goal is to simplify this expression.
02

Title - Perform the Division

To simplify \(32 \div 4\), divide 32 by 4. Since \(32 \div 4 = 8\), the simplified expression is 8.
03

Title - Identify the Dividend

The dividend in this problem is the number that is being divided. Here, the dividend is 32.
04

Title - Identify the Divisor

The divisor is the number by which the dividend is divided. In this problem, the divisor is 4.
05

Title - Identify the Quotient

The quotient is the result of the division. Here, the quotient is 8.

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.

Dividend
In a division problem, it is crucial to identify the dividend. The dividend is the number that you want to divide. It is the starting point of the division.
The dividend is sometimes called the 'numerator' in fractions.
In the given example, the problem was to simplify the expression: \(32 \div 4\). Here, 32 is the dividend. It is the number being divided.
Dividends can be any number, including whole numbers, decimals, and even negative numbers. The concept remains the same - it is always the number that is divided up.
Remembering the role of the dividend helps in correctly setting up and solving the division problem.
Divisor
Next, let's talk about the divisor, which is also important in understanding division.
The divisor is the number by which you divide the dividend.
In the problem \(32 \div 4\), 4 is the divisor.
Think of the divisor as a tool that breaks the dividend into smaller chunks.
For example, if you have 32 pieces of candy and you want to divide them equally among 4 friends, each friend gets some pieces. The 4 here represents the number of friends, acting as the divisor.
Just like the dividend, a divisor can be a whole number, a decimal, or even a negative number.
Quotient
Finally, let's understand the quotient, which is the result of division.
When you divide the dividend by the divisor, you get the quotient.
In the example \(32 \div 4 = 8\), the number 8 is the quotient. This represents how many times the divisor fits into the dividend.
Think of it this way: If you have 32 cookies and divide them among 4 children, each child gets 8 cookies. Here, 8 is the quotient.
Quotients can be whole numbers or decimals, and they can tell you a lot about how a number is broken down by division.
Understanding the quotient is essential to mastering division problems.

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

What is the least whole number?

A recent report in \(U S A\) Today indicated that the play The Lion King had been performed 4043 times on Broadway. At that time, the play Hairspray had been performed 2064 times on Broadway. How many more times had The Lion King been performed than Hairspray?

Write the number in words. $$108$$

Convert the numbers to expanded form. $$10,241$$

Show that division is not associative, using the numbers \(36,12,\) and 3.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

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.