Compare the method used to add I tethers with the same sign and the method used to add integers with different signs.

Question

im really not sure how to word this one I need your help please need answer very soon 

Answer 1

The word TETHERS threw me off for a second :( . I think I know what you are asking.

 

If you are adding two numbers that have the same sign, either both positives or both negatives, add their ABSOLUTE VALUES and keep their sign.  Example (-3) + (-5) = -8.  The absolute value of -3 is 3 and the absolute value of -5 is 5.  If you add their absolute values, you get 8.  However, you keep the sign they have in common which is negative. So, the final answer is -8.  

 

Things get get a little more complicated when adding positive and negative numbers.  Whether the final answer is positive or negative depends on which number has a higher absolute value.  Let's considered a couple examples.  

 

A). (-9)+ 11 = 2

 

The absolute value of -9 is 9, while the absolute value of 11 is 11.  Because the absolute value of 11 is higher than the absolute value of -9, our answer must be positive. But positive what?  To find that subtract their absolute values. 11-9= 2.  So the final answer is 2.

 

B) (9)+(-11) = -2

Just like the previous example, find the absolute value of 9 and (-11), which will be 9 and 11 respectively.  Now subtract their absolute values, i.e, 11-9 = 2 . The same answer as before. However, notice that -11 has a higher absolute value than 9.  Since (-11) is obviously a negative integer, the answer MUST be negative.  So, the final answer is (-2).

 

i hope this answer will help you out.