Answer:
a) -4653.
b) -9180.
c) -2700.
Explanation:
a) To evaluate using the distributive property, we can break down the multiplication as follows:
-99 x 47 = (-100 + 1) x 47 [Using the fact that -99 can be expressed as -100 + 1]
= (-100 x 47) + (1 x 47) [Distributive property]
= -4700 + 47
= -4653
Therefore, -99 x 47 = -4653.
b) Similarly, we can break down the multiplication using the distributive property:
-85 x 108 = (-100 + 15) x 108 [Using the fact that -85 can be expressed as -100 + 15]
= (-100 x 108) + (15 x 108) [Distributive property]
= -10800 + 1620
= -9180
Therefore, -85 x 108 = -9180.
c) Using the distributive property:
(-54) x 12 + (-38) x 54 = (-54 x 12) + (-38 x 54)
= -648 + (-2052)
= -648 - 2052
= -2700
Therefore, (-54) × 12 + (-38) × 54 = -2700.