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You can usually make valid transformations in one of the expressions until you get the other expression. A "valid transformation" in this context means one that doesn't change the value of the expression.

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Q: How do the number properties help us to prove that expressions are equivalent?
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How can you test the equivalance of two expressions?

You can check for a few numbers, to see whether they give you the same result. This quick check can save you lots of work in the following step, in the case of complicated expressions: if, when replacing by some number, the two expressions are NOT equal, then of course they are not equivalent.However, the variables can usually have infinitely many values (Boolean algebra is an exception), in which case the only way to prove that two expressions are equivalent - meaning, equal for ALL values of the variable or variables - is to try to do some equivalence transformation to one expression, to convert it to the other expression.


Which algebraic expression would not be equivalent if the number and variable were reversed?

A variable raised to a power:i.e., X2 is not equal to 2X...you can prove it by substituting a number for X...if you choose X=1, then 12 = 1 & 21 = 2, which are not equal obviously.


Prove that square root of 2 is an irrational number?

The square root of 2 is 1.141..... is an irrational number


How do you prove triangles are congruent if you only have expressions for side and angle measures?

How many sides of each triangle and how many angles of each triangle do you have ? If you have two sides and the angle between them, or two angles and the side between them, equal to the same parts of the other triangle, then your triangles are congruent. You don't even have to know what the actual numbers are. If the expressions are equal, then the sides or angles are equal.


How to prove that A being any number A multiplied by A plus 1 is always divisible by 2?

A will always be an odd number.

Related questions

How can properties be used to prove rules for multiplying integers?

The answer depends on which properties are being used to prove which rules.


How can you use your properties and definitions to prove that you added a fraction correctly?

The answer will depend on which of the many properties of fractions you are referring to.


What did Avogadro's number prove?

no prove....


How can you prove that decimals are equivalent?

One way is to show that the absolute difference between them is smaller than any number that you care to choose.


Ranger wants to verify that the expression8x – 20 is the correct simplified expression for 4(2x – 5). Explain how to verify the simplified expression?

Sample Answer: To verify, a number needs to be substituted for x in both expressions. Use order of operations to simplify and find the value. The value needs to be the same for both expressions to prove equivalence.


How can you test the equivalance of two expressions?

You can check for a few numbers, to see whether they give you the same result. This quick check can save you lots of work in the following step, in the case of complicated expressions: if, when replacing by some number, the two expressions are NOT equal, then of course they are not equivalent.However, the variables can usually have infinitely many values (Boolean algebra is an exception), in which case the only way to prove that two expressions are equivalent - meaning, equal for ALL values of the variable or variables - is to try to do some equivalence transformation to one expression, to convert it to the other expression.


How do you prove that a number is a composite?

To prove whether a number is composite, factor it. A number having any factor besides 1 and itself is composite.


How do you prove that a joint Hindu family undivided property is ancestor property?

one has to prove the nucleus of joint family and creation of properties during jointness of hindu family


Which algebraic expression would not be equivalent if the number and variable were reversed?

A variable raised to a power:i.e., X2 is not equal to 2X...you can prove it by substituting a number for X...if you choose X=1, then 12 = 1 & 21 = 2, which are not equal obviously.


ARE THE MATTERS CAN BE CLASSIFIED BY ITS PROPERTIES. GIVE ANY EXAMPLE TO PROVE?

Flammabe or not flammable:- gold is not flammable- sulfur is flammable


How can one show that element that have different appearances have similar chemical properties?

You can experiement with the melting point, boiling point, and freezing point of the elements to prove they have similar properties. This and you can check the different physical and other chemical properties for similarities and comparison.


Who was done theories to prove infinity is a number?

No one because infinity is not a number.