Question

Verify the following.
(a) (-23) * 14 = 14 * (-23)
(b) [8 * (-7)]*(-5) = 8 *[(-7)(-5)]
(c) (-9) [(-4) + 11) = (-9) (-4) + (-9) x 11
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Answer 1

hey a is commutative property ,b=associative property and c=distributive property

Answer 2

Step-by-step explanation:

(a) (-23)* 14 = 14* (-23)

it is verified by the commutative property of multiplication as (a*b) = (b*a)

(b) [8*(-7) ]*(-5)= 8*[(-7)(-5)]

it is verified by the associative property of multiplication as:-a*(b*c)=(a*b)*c

(c) (-9)[(-4+11) = (-9)(-4)+(-9)×11

it is verified by the distributive property of multiplication as:-a*(b-c)= a*b -a*c