Give one example each to show that the rational numbers are closed under addition,subtraction and multiplication.are rational numbers closed under division?give two examples in support of your answer.
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rational number under addition
a+b=a is a rational number
1/2+2/4=2+2/4
=4/4=1=1/1 it is a rational number
EXAMPLE for subtraction
1/2-2/4=4-4/4=0
so it is not closed
Example for multiplication
1/2×2/4=2/8=1/4
it is a rational no so it is closed
division
1/2÷2/4=1/2×4/2=4/4=0so it is not closed
a+b=a is a rational number
1/2+2/4=2+2/4
=4/4=1=1/1 it is a rational number
EXAMPLE for subtraction
1/2-2/4=4-4/4=0
so it is not closed
Example for multiplication
1/2×2/4=2/8=1/4
it is a rational no so it is closed
division
1/2÷2/4=1/2×4/2=4/4=0so it is not closed
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