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

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Closure and Commutative Property for 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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

Suggest Corrections

Similar questions

\div

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

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

Join BYJU'S Learning Program