Question

verify the associative law of multiplication for the rational number -3/5 , 1/3 , and -5/7 ​

Answer 1

Step-by-step explanation:

according to associate law of multiplication, a(b×c) = (a×b)c

For -3/5, 1/3 and -5/7,

if a= -3/5, b = 1/3, c = -5/7,

((-3/5) × 1/3) × (-5/7)

= (-3/15) × (-5/7)

= 1/7

and,

(-3/5) × (1/3 × (-5/7))

= (-3/5) × (-5/21)

= 1/7

Also,

1/3 × (-3/5 × -5/7)

= 1/3 × 3/7

= 1/7

hence, the numbers follow the associative law of multiplication.