This is not the document you are looking for? Use the search form below to find more!

Report

Document Description
An operation works to change numbers. (The word operate comes from Latin operari, "to work.") There are six operations in arithmetic that "work on" numbers: addition, subtraction, multiplication, division, raising to powers, and taking roots. A binary operation requires two numbers. Addition is a binary operation, because "5 +" doesn't mean anything by itself. Multiplication is another binary operation. Equality The equals sign in an equation is like a scale: both sides, left and right, must be the same in order for the scale to stay in balance and the equation to be true. The addition property of equality says that if a = b, then a + c = b + c: if you add the same number to (or subtract the same number from) both sides of an equation, the equation continues to be true. The multiplication property of equality says that if a = b, then a * c = b * c: if you multiply (or divide) by the same number on both sides of an equation, the equation continues to be true. The reflexive property of equality just says that a = a: anything is congruent to itself: the equals sign is like a mirror, and the image it "reflects" is the same as the original. The symmetric property of equality says that if a = b, then b = a. The transitive property of equality says that if a = b and b = c, then a = c.
File Details
• File size: 171.57kb
• Pages: 3
• Tags: addition property of equality, rational expressions applications, polynomials
• content preview
Submitter
Embed Code:

Related Documents

## Properties Of Equality

by: chaja, 1 pages

Properties of EqualityAddition PropertyIf a = b, then a + c = b + c.Subtraction PropertyIf a = b, then a – c = b – c.Multiplication…

## 14 All About Eve Feminism and the Meaning of Equality

by: aldous, 49 pages

If pressed to identify the most influential cultural development in Western civilization of the twentieth century, we believe a good case could be made for choosing feminism. The woman's suffrage ...

## Is Cognitive Dissonance an Intrinsic Property of the Human Mind ? An Experimental Solution to a Half-Century Debate

by: shinta, 5 pages

Cognitive Dissonance can be conceived both as a concept related to the tendency to avoid internal contradictions in certain situations, and as a higher order theory about information

## Identity & Equality Properties (Algebra1 1_4)

by: alfredina, 46 pages

Identity and Equality Properties What You'll Learn Vocabulary 1) additive identity 2) multiplicative identity 3) multiplicative inverse 4) reciprocal Identity and Equality ...

by: rverma, 2 pages

## Orris Aster court Apartments Apartments in Gurgaon

by: HcoRealEstatescom, 2 pages

Aster Court a residential project from Orris developer offering 3 and 4 BHK residential apartments at most advantageous location of Gurgaon.

## FLUTE NOTES tune list

by: Mango, 1 pages

TUES AS 11/10/2010

## Integrated assessment of abrupt climatic changes

by: samanta, 17 pages

One of the most controversial conclusions to emerge from many of the first generation of integrated assessment models (IAMs) of climate policy was the perceived economic optimality of negligible ...

## What is UK property auction?

by: Andrew Wilson, 2 pages

The UK property auctions are so special because in the UK, the property owners came to know the importance and value of the properties and all the people are more interested in buying a property of ...

## Five Ws about UK property auction

by: Andrew Wilson, 2 pages

The UK property auctions are so special because in the UK, the property owners came to know the importance and value of the properties and all the people are more interested in buying a property of ...

Content Preview
An operation works to change numbers. (The word operate comes from Latin operari, "to work.")
There are six operations in arithmetic that "work on" numbers: addition, subtraction, multiplication,
division, raising to powers, and taking roots. A binary operation requires two numbers. Addition is a
binary operation, because "5 +" doesn't mean anything by itself. Multiplication is another binary
operation.
Equality
The equals sign in an equation is like a scale: both sides, left and right, must be the same in order for
the scale to stay in balance and the equation to be true. The addition property of equality says that if a =
b, then a + c = b + c: if you add the same number to (or subtract the same number from) both sides of
an equation, the equation continues to be true. The multiplication property of equality says that if a = b,
then a * c = b * c: if you multiply (or divide) by the same number on both sides of an equation, the
equation continues to be true. The reflexive property of equality just says that a = a: anything is
congruent to itself: the equals sign is like a mirror, and the image it "reflects" is the same as the original.
The symmetric property of equality says that if a = b, then b = a. The transitive property of equality
says that if a = b and b = c, then a = c.
Know More About :- Rational Expressions Applications

Math.Edurite.com
Page : 1/3

Equality is the state of being quantitatively the same. More formally, equality (or the identity relation)
is the binary relation on a set X defined by . The identity relation is the archetype of the more general
concept of an equivalence relation on a set: those binary relations which are reflexive, symmetric, and
transitive. The relation of equality is also antisymmetric.
These four properties uniquely determine the equality relation on any set S and render equality the only
relation on S that is both an equivalence relation and a partial order. It follows from this that equality is
the smallest equivalence relation on any set S, in the sense that it is a subset of any other equivalence
relation on S. An equation is simply an assertion that two expressions are related by equality (are
equal). The equality relation is always defined such that things that are equal have all and only the same
properties. Some people define equality as congruence.
Often equality is just defined as identity. A stronger sense of equality is obtained if some form of
Leibniz's law is added as an axiom; the assertion of this axiom rules out "bare particulars"--things that
have all and only the same properties but are not equal to each other--which are possible in some
logical formalisms. The axiom states that two things are equal if they have all and only the same
properties. Formally
Given any x and y, x = y if, given any predicate P, P(x) if and only if P(y).
In this law, the connective "if and only if" can be weakened to "if"; the modified law is equivalent to the
original. Instead of considering Leibniz's law as an axiom, it can also be taken as the definition of
equality. The property of being an equivalence relation, as well as the properties given below, can then
be proved: they become theorems. If a=b, then a can replace b and b can replace a.

Math.Edurite.com
Page : 2/3

ThankYou
Math.Edurite.Com

# Document Outline

• ﾿

Share Addition Property of Equality to:

example:

http://myblog.wordpress.com/
or
http://myblog.com/

Share Addition Property of Equality as:

From:

To:

Enter two words as shown below. If you cannot read the words, click the refresh icon.

Share Addition Property of Equality as:

Copy html code above and paste to your web page.