Question

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

Answer 1

Step-by-step explanation:

Given:10+(−40)+(−90)

To find:Which expression is equivalent to the above written expression

(a)−10+(−90)+(−40)

(b)−(10−40)+(−90)

(c) 10+40+90

(d)−10−(40−90)

Solution:

Points to remember:

1. The sign of the number is written in the front of the number.
2. If a number is moving it's sign should move with it.

Now the given expression is −10+(−40)+(−90)

here all three numbers are negative.

From the options search for the expression where all three numbers are negative by this way without solving the numeric expression one can find the equivalent expression.

1. Option a is correct;here position is changed only.

• In option b,a bracket is placed −(10−40)+(−90) As soon as you open it -10+40+(-90) ;which is not equal to given expression
• In option c all numbers are positive.
• In option d,a bracket is placed −10−(40-90) As soon as you open it -10-40+(90) ;which is not equal to given expression

Thus,

10+(−40)+(−90) = −10+(−90)+(−40)

Option a is correct.

Hope it helps you.

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