what is closuer property ?????
Answers
Closure properties mean a type of number should closed under all the four arithmetic methods.
Eg: 4+8=12(whole number + whole number = whole number).
4-8=-4 (Whole number + whole number not equal to whole number under subtraction. ).
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Closer property : If a and b are two natural number then a + b and a × b is also a natural number...
For example : take a = 2 and b= 3 then a + b = 2 + 3 = 5.
Here 2 and 3 are natural number and their sum a+ b = 2 + 3 = 5 is again a natural number...
Suppose a = 2 and b = 3 then a × b = 2 × 3 = 6.
Again here 2 and 3 are natural number , their product i.e 6 is also a natural number...
This is one of the property of number and is known as closure property..
You can take any two natural number and add and multiply them together , you always get a result as natural number..
The property doesnt hold or valid for Subtraction and Division...
For example : a = 2 and b = 7 then
a - b = 2 - 7 = - 5 , which is not a natural number...Similarly a ÷ b = 2 ÷7 = 2 /7 , not a natural number...
Thus closure property hold for addition and miltiplication but it fails for subtraction and division for Natural number...Similarly you can check for other number systems like Whole numbers , Integers , Rational nimbers etc..