examine whether the following number are closed under addition subtraction multiplication and division
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Examples of closure property under
(i) Addition-
2 /1
+
3 /2
=
6 /3+4
=
6 /7
(ii) Subtraction
2 /1
−
3 /2
=
6 /3−4
=
6 /−1
(iii)Multiplication
2 /1
×
3 /2
=
6 /2
=
3 /1
No, rational numbers are not closed under division.
Let us take two rational numbers 3 and 0.
Then their division
0 /3
is not defined,
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