Verify commutative property of addition for the following pairs of rational numbers:
1) -4/9 and 3/7
2) -2/-5 and 1/3
3) 9/11 and 2/13
Answers
Step-by-step explanation:
Solution 1
(-4/9)+(3/7)
If you interchange them by their positions there will be no effect on the equation, so it does follow the property of commutativity ---
=>Lcm of 7 & 9 = 63
=>(-28+27)/63 can also be written as (27-28)/63
If you equate any of the above the answer will be -1/63
Hence proved that -4/9 and 3/7 are commutative to each other..
Solution 2
-2/-5 can be written as 2/5
So,
What you have to do is to find the L.C.M
i.e 53=15
Now,
2/5+1/3=>6+5/15=11/15
Whether you do it by interchanging their positions the answer will be the same i.e 11/15
Hence proved that -2/-5 and 1/3 are commutative to each other..
Solution 3
L.C.M=1113=143
9/11+2/13=>117+22/143=>260/143
Whether you do it by interchanging their positions the answer will be the same i.e 260/143
Hence proved that 9/11 and 2/13 are commutative to each other
Hope it helps
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