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1.state the property used in each of the following.I)_4/7 5/21=5/21 _4/7II) 3/4 (7/2 _3/8)=(3/4 7/2) _3/8 2.Fill in the blanks :I) 4/5 7/-8=7/-8 ----II)( 3/-5 2/-8) ---=3/-5 (4/-7 2/-8)III) -4/7 0=---3.If a=7/8and b=--1/7,then verify that a b=b a.4.If x=2/5,y=- 4/3,z=8/9,then verify that x (y z)=(x y) z |
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Answer» A1 i)Commutative property of multiplication ii)Commutative property of multiplication ii) ( 3/-5 x 2/-8) 4/-7 =3/-5 (4/-7 x 2/-8) iii) -4/7 x 0 = 0 A3 To prove:- a x B = b x a LHS: a x b = 7 / 8 x 1 / 7 = 1/8 RHS: b x a = 1/7 x 7 / 8 = 1/8 LHS = RHS A4 To prove:- x(y × z) = (x × y)z LHS: x(y × z) = 2 / 5 (-4 / 3 × 8 / 9) = 2/5 × (-32/27) = -64/135 RHS: (x × y)z = (2/5 × -4/3) 8/9 = -8/15 × 8/9 = -64/135 LHS = RHS Hope I helped |
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