Question 1205268
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There are infinitely many numbers between -2 and -0.75, but one number we could pick on is the midpoint.


Add up the values and then divide in half


Add: -2+(-0.75) = -2-0.75 = -2.75
Divide in half: -2.75/2 = <font color=red>-1.375</font>
The value <font color=red>-1.375</font> is between -2 and -0.75
This is known as the arithmetic mean.


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Or we could apply the geometric mean
Multiply the values and then apply the square root.


Multiply: -2*(-0.75) = 1.5
sqrt(1.5) = 1.2247 approximately
Make the result negative so it's in between the two negative values
<font color=red>-1.2247 approximately</font> is between -2 and -0.75


Edit: @ikleyn, fair enough, the geometric mean approach seemed a bit flimsy. However, we could treat it like finding the geometric mean of 2 and 0.75 and then make the result negative. 


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Another thing we could do is find the distance between the given values
distance = |a-b| = |-2-(-0.75)| = |-2+0.75| = |-1.25| = 1.25
Then cut this distance into N pieces, let's say N = 10
1.25/N = 1.25/10 = 0.125


Let k be some integer on the interval 0 < k < N
In this case 0 < k < 10


Then let's add some multiple of 0.125 to the left endpoint -2, to land somewhere between -2 and -0.75
We're evaluating -2+0.125k for k = 1 through k = 9
If k = 1, then -2 + 0.125k = -2 + 0.125*1 = <font color=red>-1.875</font>
If k = 2, then -2 + 0.125k = -2 + 0.125*2 = <font color=red>-1.75</font>
If k = 3, then -2 + 0.125k = -2 + 0.125*3 = <font color=red>-1.625</font>
If k = 4, then -2 + 0.125k = -2 + 0.125*4 = <font color=red>-1.5</font>
If k = 5, then -2 + 0.125k = -2 + 0.125*5 = <font color=red>-1.375</font>
If k = 6, then -2 + 0.125k = -2 + 0.125*6 = <font color=red>-1.25</font>
If k = 7, then -2 + 0.125k = -2 + 0.125*7 = <font color=red>-1.125</font>
If k = 8, then -2 + 0.125k = -2 + 0.125*8 = <font color=red>-1</font>
If k = 9, then -2 + 0.125k = -2 + 0.125*9 = <font color=red>-0.875</font>
Each of the results {<font color=red>-1.875</font>, <font color=red>-1.75</font>, <font color=red>-1.625</font>, <font color=red>-1.5</font>, <font color=red>-1.375</font>, <font color=red>-1.25</font>, <font color=red>-1.125</font>, <font color=red>-1</font>, <font color=red>-0.875</font>} are between -2 and -0.75


Notes: If k = 0, then -2+0.125k = -2 is the left endpoint, while k = 10 means -2+0.125k = -0.75 is the right endpoint.


There's nothing special about N = 10. We could have easily made N = 20 or whatever positive whole number you want.


And yet another approach is to select the number -1 since it's between -2 and -0.75, and then tack on some random string of decimal digits.
Eg: <font color=red>-1.2345</font> or <font color=red>-1.6789</font>
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