verify associative property for addition of rational numbers using x=-3/5, Y=1/7, Z=-2/21
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Step-by-step explanation:
Associate property of additon=
a+(b+c) = (a+b)+c
Where,
- a= x= -3/5
- b= y= 1/7
- c= z= -2/21
LHS= -3/5(1/7-2/21)
LCM of 7,21= 21
1/7×3/3= 3/21
-2/21×1/1= -2/21
-3/5+(3-21/21)
-3/5+(-18/21)
-3/5 -18/21
LCM of 5,21= 105
-3/5 × 21/21= -63/105
-18/21× 5/5= -90/105
=> -63-90/105
=> -153/105
=> -51/35
RHS= (-3/5+1/7)+-2/21
LCM of 5,7= 35
-3/5 × 7/7= -21/35
1/7 × 3/3= 3/35
(-21+3/35)-2/21
-18/35-2/21
LCM of 35,21= 105
-18/35 × 3/3= -54/105
-2/21× 5/5= -10/105
-54-10/105
-64/105
LHS≠ RHS
hope it helps you mate :)
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