Sunday

August 31, 2014

August 31, 2014

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)]

**Related Questions**

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

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

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

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

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

Math - I need some advice with this problem. Simplify as indicated. State at ...

maths - Match them- a (a-b) is a rational number 1) distributive property b) a+0...

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

Math-- - Identify the property or theorem which justifies the statement. 7 × 3 ...

division - ok i have another question these problees are alittle different... it...