Question

Complete the following to show how the expression can be simplified using the Commutative and Associative Properties of Multiplication.

Enter the correct numbers in the boxes.

(−0.5)(−7)(2)= ( )( )(2)
=(−7)[( )( )]
=(−7)( )
=

Answer 1

Answer:

$(-0.5)(-7)(2)= (-7 )(-0.5 )(2)\\=(-7)[( -0.5)(2 )]\\=(-7)( -1)\\=7$

Step-by-step explanation:

$(-0.5)(-7)(2)= (-7 )(-0.5 )(2)$ Here you apply the commutative law ($ab = ba$).

$(-7)[( -0.5)(2 )]$ Here apply the associative law ($a(bc) = (ab)c$).

$(-7)( -1) = 7$ A negative number by a negative number is equal to positive.

Answer 2

(-0.5)(-7)(2)= (-7)(-0.5)(2)
=(-7)[(-0.5)(2)]
=(-7)(-1)
=-7