Question

Which expression is equivalent to ? 18 1/5 - (- 22 2/5) -( -40 1/5) ? A. 18 1/5 - 22 2/5 - 40 1/5 B. 18 1/5 + ( -22 2/5 ) + ( - 40 1/5) C. - 18 1/5 - 22 2/5 + 40 1/5 D. 18 1/5 + 22 2/5 + 40 1/5

Answer 1

Answer:

.........................

Answer 2

Step-by-step explanation:

Given:18 1/5 - (- 22 2/5) -( -40 1/5)

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

A. 18 1/5 - 22 2/5 - 40 1/5

B. 18 1/5 + ( -22 2/5 ) + ( - 40 1/5)

C. - 18 1/5 - 22 2/5 + 40 1/5

D. 18 1/5 + 22 2/5 + 40 1/5

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 18 1/5 - (- 22 2/5) -( -40 1/5)

here all two numbers are negative but a negative sign is also present outside the bracket.

So, all are positive

18 1/5 - (- 22 2/5) -( -40 1/5)=18 1/5 +22 2/5 +40 1/5

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

• Option A is incorrect;two numbers are negative.
• In option B,a bracket is placed 18 1/5 + ( -22 2/5 ) + ( - 40 1/5) As soon as you open it 18 1/5 -22 2/5 ) - 40 1/5 ;which is not equal to given expression
• In option C ;- 18 1/5 - 22 2/5 + 40 1/5 ;two numbers are negative.
• In option D;18 1/5 + 22 2/5 + 40 1/5; All are positive.Thus, option D is correct.

Thus,

18 1/5 - (- 22 2/5) -( -40 1/5) =18 1/5 + 22 2/5 + 40 1/5

Option D is correct.

Hope it helps you.

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