verify the associative property of addition for the following rational numbers. (b) 4/5, -3/10, 8/15 .
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Question
associative property of addition for the following rational number. (b) 4 upon5, -3upon10 ,8upon15.
Solution
association property
If a,b&c are two number
So,for associative property for addition it be hold like that
a+(b+c)=(a+b)+c
Now,we prove this, by example
where
a=4/5
b= -3/10
c= 18/5
First,take L.H.S
a+(b+c)
keep value of a,b&c
=(4/5)+[(-3/10)+(18/5)]
=(4/5)+[(-3*3+8*2)/30]
=(4/5)+[(-9+16)/30]
=(4/5)+[7/30]
=4/5+7/30
=(4*6+7)/30]
=(24+7)/30]
=31/30
Now,take R.H.S
=(a+b)+c
keep value of a,b&c
=[(4/5)+(-3/10)]+(8/15)
=[(4*2-3)/10]+(8/15)
=[(8-3)/10]+(8/15)
=5/10+8/15
=(5*3+8*2)/30
=(15+16)/30
=31/30
here
.L.H.S=R.H.S
so. we can say that associative property satistied for this example
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