Can someone please explain: (+8) + (-15) { = -(15-8) , Correct Answer is -7 } My answer is +7, which is wrong. Need clarification.
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calendarEducator since 2010
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You have (+8) + (-15) = -(15 - 8)
The result of this is -7 because you simplify the expression as follows:
(+8) + (-15)
remove the brackets, as the sign before (-15) is +, eliminate it without altering -15.
=> 8 - 15
=> -7
[ If there is a minus sign before the brackets, when the brackets are opened the sign of all the terms in the brackets are reversed, else for a plus sign before the brackets they remain the same. ]
Here the terms 8 and -15 are being added, the result will be a negative number given that 15 > 8 and equal to 7 as 15 - 8 = 7.
Hope the explanation helped.
The result of (+8) + (-15) = -7
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calendarEducator since 2011
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We will verify that the correct answer to (8) + (-15) = -(15-8) is -7.
=> (8) + (-15) = -(7)
=> 8 - 15 = -7
=> -7 = - 7
(8) + (-15) = -(15 -8) has been verified.
The correct simplification is -7.
We'll start from the fact that adding a negative number to another number is the same thing as subtracting a positive number.
In this case, to add the negative number -15 to the number +8 is same as subtracting 8 from 15.
Now, the result will have the symbol of the larger number, which in this case is 15.
8 - 15 = -7
To the right side of the equl sign, you'll find the mathematical explanation of the facts described above.
8 - 15 = -(15 - 8) = -7
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