Question

Verify and name the property: 12 × [4 + ( – 7)] = [ 12 × 4] + [12 × ( – 7)]

Answer 1

Answer:

Verified. They are not equal.

Step-by-step explanation:

( - 12 ) x [ ( 3 ) + ( - 9 ) ]  =  [ ( - 12 ) x ( 4 ) ] + [ ( - 12 ) x ( - 9 ) ]

( - 12 ) x [ ( 3  - 9 ) ]  =  [ ( - 12 ) x ( 4 ) ]  +  [ ( - 12 ) x ( - 9 ) ]

( - 12 ) x [ - 6 ]  =  [ - 48  + 108  ]

72 = 60

or

( - 12 ) x [ ( 3 ) + ( - 9 ) ]  =  [ ( - 12 ) x ( 4 ) ] + [ ( - 12 ) x ( - 9 ) ]

( - 12 ) x [ ( 3  - 9 ) ]  =   ( - 12 ) .  { ( 4 ) ]  +   ( - 9 ) ]

( - 12 ) x [ - 6 ]  = ( - 12 ) .  { -5 ]

72 = 60

∴  72 ≠  60

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Answer 2

Step-by-step explanation:

12 x [ 4 + ( - 7) ] = [ 12 x 4 ] + [ 12 x ( -7) ]

12 x ( -3) = 48 - 84

-36 = -36

Verified