Tuesday

March 31, 2015

March 31, 2015

Posted by **JOY** on Saturday, September 3, 2011 at 10:27am.

There is no Closure Property of Division that applies to Integers. For example 2 divided by 3 is not an interger. What is another example of real numbers that does not have a Closure Property for one of the basic operations? Give an example to illustrate your claim.

- Algebra 2 -
**Mgraph**, Saturday, September 3, 2011 at 2:28pm2011/0 is not real number

- Algebra 2 -
**MathMate**, Saturday, September 3, 2011 at 2:29pmIf we restrict ourselves to positive integers, then subtraction does not have a closure property, for example:

5-7=-2 ∉ N.

If we are dealing with real numbers, division does not have closure property, because we cannot divide by zero.

On the other hand, non-zero real numbers are closed under division.

Real numbers are not closed under square-root, because the square-root of a negative number is complex.

Example:

√(-4) = 2i

-4 is real, 2i is complex.

- Algebra 2 -
**hom**, Saturday, September 3, 2011 at 3:01pm5-3[x-7(x-6)]

**Answer this Question**

**Related Questions**

math - Give a counterexample to show that each of the following generalizations ...

math - if M and Arepresents integers, M+A=A+M is an example of which property? a...

Geometry - Can you just help me with this thanks Directions: Tell which property...

math - Give a counterexample to show that the following generalization about the...

11th grade mths - Please check urgently .I have to submit the assignment A give ...

Maths(please check urgently - Please check urgently .I have to submit the ...

Math - which of the following properties hold for subtraction of whole numbers? ...

math - Write an algebraic expression that requires each of the following ...

algeebra - Determine wether the two expressions are equivalent. If so,tell what ...

algebra 1 - thr ratio of two integers is 6:13 the smaller interger is 54. find ...