/*! 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} Q57. Does the Commutative Property so... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q57. (page 21)

Does the Commutative Property sometimes, always, or never hold for subtraction? Explain your reasoning.

Short Answer

Expert verified

The commutative property for subtraction holds sometimes not always.

Step by step solution

01

Step 1. Commutative property.

The commutative property for any operation 鈥�*鈥� is defined as,

a*b=b*a

Where 鈥榓鈥� and 鈥榖鈥� are any numbers.

02

Step 2. DESCRIPTION OF STEP.

The commutative property for subtraction is defined as:

a鈭�b=b鈭�a

Now note that the above doesn鈥檛 always hold, as in case 鈥榓鈥� and 鈥榖鈥� are the same number, i.e.

a=b, then

a鈭�b=b鈭�aa鈭�a=a鈭�a0=0

But in case a is not equal to be, for example, a=2, and b=4, then

a鈭�b=2鈭�4a鈭�b=鈭�2But;b鈭�a=4鈭�2b鈭�a=2鈬�a鈭�b鈮�b鈭�a

Thus, commutative property for subtraction holds sometimes not always.

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

Evaluate the expression 82鈭�42+74.

Write a verbal expression for each algebraic expression.

2a+6

While on vacation, the Jacobson family drove 312.8 miles the first day, 177.2 miles the second day, and 209 miles the third day. About how many miles did they travel in all?

While on vacation, the Jacobson family drove 312.8 miles the first day, 177.2 miles the second day, and 209 miles the third day. About how many miles did they travel in all?

Write a verbal expression for each algebraic expression.

25+6x2
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

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.