Question

Which expression is equivalent to −10+(−40)+(−90) ?

a −(10−40)+(−90)
b −10−(40−90)
c 10+40+90
d −10+(−90)+(−40)

Answer 1

The answer is D because -10+(-40)+(-90) is the same just swiched

Answer 2

Hey!

Hope this helps...

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To answer this we will have to use a bit of the distribution property, but first we need to know the answer of the thing we are comparing...

−10+(−40)+(−90) > -10 - 40 - 90 = -140

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A.) −(10−40)+(−90) > -10 + 40 - 90 = -60

Does -60 equal -140?

NO

B.) −10−(40−90) > -10 - 40 + 90 = 40

Does 50 equal -140?

NO

C.) 10+40+90 = 140

Does 140 equal -140?

NO

D.) −10+(−90)+(−40) > -10 - 90 - 40 = -140

Does -140 equal -140?

YES

So...

The answer is: D.) -10+(-90)+(-40)