/*! 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 106 Translate from English to an alg... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 106

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable \(x\) represent the number. A number decreased by \(\frac{1}{3}\) of itself

Short Answer

Expert verified
The algebraic expression for 'A number decreased by \(\frac{1}{3}\) of itself' is given by \(x - \frac{1}{3}x\).

Step by step solution

01

Identify the variable

The problem states that \(x\) represents the number. So, first start with the variable \(x\).
02

Translate the operation

A number 'decreased by' suggests a subtraction operation. The phrase '\(\frac{1}{3}\) of itself' can be translated into an operation of multiplication with the fraction \(\frac{1}{3}\). So, '\(\frac{1}{3}\) of itself' would translate to \(\frac{1}{3}x\).
03

Construct the algebraic expression

Putting both components together, the complete expression will be 'the number \(x\) minus \(\frac{1}{3}\) times the number \(x\)'. In algebraic terms, this can be written as \(x - \frac{1}{3}x\).

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!

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

Perform the indicated subtraction. $$0-13$$

How is \(4-(-2)\) read?

Perform the indicated subtraction. $$-\frac{4}{5}-\left(-\frac{1}{5}\right)$$

Perform the indicated subtraction. $$\frac{2}{5}-\frac{1}{10}$$

Simplify each algebraic expression. $$5+9 y-29 y$$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

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.