Algebra 2
posted by JOY on .
Need help PLEASE!! Question is:
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.

2011/0 is not real number

If we restrict ourselves to positive integers, then subtraction does not have a closure property, for example:
57=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, nonzero real numbers are closed under division.
Real numbers are not closed under squareroot, because the squareroot of a negative number is complex.
Example:
√(4) = 2i
4 is real, 2i is complex. 
53[x7(x6)]