Answer:
The argument "The sum of 2 numbers and its opposite is always 1." NEVER APPLIES
Step-by-step explanation:
The argument "The sum of 2 numbers and its opposite is always 1." NEVER APPLIES. This is because, the sum of two numbers and its opposite is always equal to ZERO.
This is based on the following examples and explanations below.
Example 1
Let say we are asked to add up number 3, 4 and -7
The addition of 3 and 4 = 3+4 = 7
The number 7 is a positive integer(number) and the opposite of a positive integer is a negative integer (number)
So, from the above explanation, the opposite of 7 = -7
Therefore, going back to the question,
3+4 + (-7)
7 + (-7)
Since it -7 is in a bracket , we would multiply the two signs together, based on the rule:
+ (-) or - (+) = -
Hence, we have : 7 - 7 = 0
Example 2
Let's assume we are asked to add up fractions
1/3 , 2/5 , - 11/15
1/3 + 2/5 +(-11/15)
We would apply the rule:
+ (-) or - (+) = -
1/3 + 2/5 -11/15
We find the Lowest common multiple which is 15
1/3 + 2/5 = 11/15
11/15 - 11/15 = 0
Example 3
We are to add up, -5, -9, 6 and 8 together.
Therefore, we have :
-5 + -9 + 6 + 8
We would apply the rule:
+ (-) or - (+) = -
-5 -9 + 6 + 8
-14 + 14
= 0
From the three examples given above, it has been proved that the opposite of a number is a the number same on the opposite side of zero on the number line.
This means:
The opposite of 3 = -3
The opposite of -7 = 7
This is applicable to all numbers
Also, as shown in the examples above, the argument "The sum of 2 numbers and its opposite is always 1." NEVER APPLIES because, the sum of two numbers and its opposite is always equal to ZERO.
