# Identify the properties of addition and multiplication in the following- A) [(-7)x(-3)] (4)=-7x[(-3)x4] B) 4+[(-3)+12]=[4+(-3)]+12 C) 6[(-3)+6]=6x(-3))+6x6

2
by vrindasharma453

2015-03-24T12:41:16+05:30

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B   associative property of multiplication
C  distributive property of multiplication
a+b = b+a
that is commutative
a(b+c) = ab +ac is distributive
okay. Thank you.
you are welcome!
thanks!
2015-03-24T12:45:53+05:30

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A) [(-7) x (-3)] (4)=-7 x [(-3) x 4]
LHS = [(-7) x (-3)] x (4) = [21] x 4 = 84
RHS = -7 x [(-3) x 4] = -7 x [-12] = 84
So LHS = RHS
Associative property

B) 4+[(-3)+12]=[4+(-3)]+12
LHS = 4+[(-3)+12] = 4 + [12-3] = 4 + 9 = 13
RHS = [4+(-3)]+12 = [4-3] + 12 = 1 + 12 = 13
LHS = RHS
Associative property

C) 6[(-3)+6]=6x(-3))+6x6
LHS = 6[(-3)+6] = 6 x [6-3] = 6 x 3 = 18
RHS = 6x(-3))+6x6 = (-18) + 36 = 36 - 18 = 18
LHS = RHS
Distributive Property