Verify the following statement: (5 × 6) −3 = 5 −3 × 6 −3
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3/5×(−4/7×−8/9)=(3/5×−4/7)×−8/9
L.H.S.=3/5×(−4/7×−8/9)
=3/5×(−4×−8)/7×9
=3/5×32/63
=(3×32)/(5××63)
We get,
=96/315
R.H.S.=(3/5×−4/7)×−8/9
=−12/35×−8/9
={−12×(−8)}/(35×9)
We get,
=96/315
Hence, 3/5×(−4/7×−8/9)=(3/5×−4/7)×−8/9
The name of the property is Associative property of multiplication.
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