Find the closure property for the following questions.
1.-1/2,-1/2
2.3/8,-5/7
3.4/9,6/13
4.-7/5,-3/7
Answers
Given : 1. -1/2, -1/2
2. 3/8, -5/7
3. 4/9, 6/13
To Find : Verify closure property
Solution:
Closure property : For two rational numbers , the results of addition, subtraction and multiplication operations give a rational number.
For division it works for except number 0
-1/2 + ( -1/2) = - 1
-1/2 - (-1/2) = 0
(-1/2) * (-1/2) = 1/4
(-1/2)/(-1/2) = 1
All are rational numbers
3/8 - 5/7 = - 19/56
3/8 + 5/7 = 61/56
(3/8)(-5/7) = -15/56
(3/8) / (-5/7) = -21/40
All are rational numbers
4/9 + 6/13 = (106)/117
4/9 - 6/13 = (-2)/117
(4/9)(6/13) = 24/117
(4/9)/(6/13) = 52/54 = 26/27
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