Question 1201401
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<font color=red>Statement I is true</font> for all integers a,b,c
It's also true for any real numbers a,b,c
For more information, search out "associative law of addition".
The basic idea is that we can add numbers in any grouping order we want. The order doesn't matter.
Examples:
(1+2)+3 = 1+(2+3) since both sides evaluate to 6
(4+7)+2 = 4+(7+2) since both sides evaluate to 13
An almost identical property would be the commutative property of addition. That property is a+b = b+a.


Statement II is NOT true for all integers a,b,c
We can construct a counterexample to see why.
a = 1
b = 2
c = 4
LHS = left hand side = (a/b)/c = (1/2)/4 = 0.5/4 = 0.125 exactly
RHS = right hand side = a/(b/c) = 1/(2/4) = 1/(0.5) = 2
LHS = RHS is not the case since 0.125 = 2 is false


Statement III is also not true in general
Counterexample:
a = 1
b = 2
c = 3
LHS = (a+b)/c = (1+2)/3 = 3/3 = 1
RHS = a + (b/c) = 1 + (2/3) = 1.667 approximately
LHS = RHS is false since 1 = 1.667 is false.



Conclusion: <font color=red size=4>Statement I</font> is the only true statement of the trio.
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