Rational numbers are not closed under division .Justify your answer
Answers
Answered by
1
Answer:
because they are rational numbers
Step-by-step explanation:
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Answered by
3
Answer: TRUE ,RATIONAL NUMBERS ARE NOT
CLOSED UNDER DIVISION, ITS BECAUSE WHEN
WE TAKE ANY TWO RATIONAL NUMBER WE
MULTIPLY , ADD OR SUBTRACT THE NUMBERS,
YOU GET RATIONAL NUMBERS AND THEY BOTH
ARE EQUAL TO EACH OTHER. BUT WHEN YOU
DIVIDE A NUMBER YOU DO NOT GET A RATIONAL
NUMBER AND THEY ARE NOT EQUAL TO EACH
OTHER.
LETS TEST IT OUT WITH AN EXAMPLE TO PROVE THAT:-
A÷B ≠ B÷A
LETS TAKE A= 1/8 , B= -2/3
SO FIRST LETS DIVIDE = 1/8 ÷ -2/3 = 1/8 × -3/2 = -3/6
NEXT LETS DIVIDE = -2/3 ÷ 1/8 = -2/3 × 8/1 = -16/3
THEREFORE -3/6 ≠ -16/3
SO IT IS NOT CLOSED UNDER DIVISION...........
HOPE IT HELPS YOU
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