Is (a + b ) an integer for any two integers a and b?

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Solution

Integers are closed under addition.

For example: a =1, b = 5; a + b = 1 + 5 = 6, which is an integer.

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Similar questions

Integers are closed under division, i.e. for any two integers, a and b, a $\div$ b will be an integer. State true or false.

a

b,

H C F (a, b) \times L C M (a, b) = a + b .

Column-I	Column-II
(i) For any two integers a and b, a $\times b$ is also an integer. Thus, integers are	(a) Distributive under addition and multiplication
(ii) $a \times b = b \times a$ ; denotes that integers are	(b) Positive quotient
(iii) $a \times (b + c) = a \times b + a \times c;$ this denotes that integers are	(c) Closed under multiplication
(iv) The division of a negative integer by another negative integer results in	(d) Commutative under multipication

If 'a' and 'b' are any two integers and a+(b+c) = (a+b)+c. The property used here is

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