Question

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

10 + 40 + 90
−10 + (−90) + (−40)
−10 − (40 − 90)
−(10 − 40) + (−90)

Answer 1

The answer is -10+(-90)+(-40)

Answer 2

Answer: The correct option is

(B) −10 + (−90) + (−40)

Step-by-step explanation: We are given to select the expression that is equivalent to the following expression :

`E=-10+(-40)+(-90)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

First, we will evaluate the value of expression (i) as follows :

`E=-10+(-40)+(-90)=-10-40-90=-140.`

Now, we will evaluate the values of the optional expressions one by one.

Option (A) :

We have

`E_1=10+40+90=50+90=140\\eq-140.`

So, this option is NOT correct.

Option (B) :

We have

`E_2=-10+(-90)+(-40)=-10-90-40=-140.`

So, this option is CORRECT.

Option (C) :

We have

`E_3=-10-(40-90)=-10-(-50)=-10+50=40\\eq-140.`

So, this option is NOT correct.

Option (D) :

We have

`E_4=-(10-40)+(-90)=-(-30)-90=30-90=-60\\eq-140.`

So, this option is NOT correct.

Thus, the correct option is

(B) −10 + (−90) + (−40)