Integers are closed under division- i-e- for any two integers- a and b- a - b will be an integer-A- TrueB- False

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Properties of Division of Integers

Integers are ...

Question

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

True

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False

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Solution

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Aju: Integers are closed under addition.

Ted: If you add any two integers, the result will always be an integer.

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 x, y are integers, then x+y is an integer.

State true or false.
If x, y are integers, then x+y is an integer.

State whether true or false
If x, y are integers, then x+y is also an integer.

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