Integer are closed under addition.
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The integers are "closed" under addition, multiplication and subtraction, but NOT under division ( 9 ÷ 2 = 4½). ... The rational numbers are "closed" under addition, subtraction, and multiplication
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False
Integers are not closed under addition.
Example:
A) i) Take 2 integers (-2) and 3.
ii) Add them.
=(-2)+3
=-2+3
=1
So, the sum is also an integer.
B) ii) Take another 2 integers 6 and 8.
ii) Add them.
=6+8
=14
So, in this case also the sum is an integer.
HENCE IT IS PROVED THAT INTEGERS ARE NOT CLOSED UNDER ADDITION.
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