Question

Explain closure property

Answer 1

If a and b are two whole numbers and their sum is c, i.e. a + b = c, then c is will always a whole number.

For any two whole numbers a and b, (a + b) is also a whole number. This is called the Closure-Property of Addition for the set of W. in simple words Whole number + whole number = Whole number Some solved examples : 1) 3 + 4 = 7 Here 3 and 4 are whole numbers. The addition of 3 and 4 which is 7 is also a whole number. So, property of closure is true for addition. 2) 4 - 3 = 1 Here, 4 and 3 are whole numbers and 1 is also a whole number. So the property is true. But 3 - 4 = -1 Here 3 and 4 are whole numbers. The subtraction of 3 and 4 is -1 which is not a whole number. So the property of closure for subtraction is not always true. 3) 12 + 0 = 12 Here, 12 and 0 both are whole numbers. The addition of them which is 12 again is also a whole number. So the property of closure is true.