Question 1182872
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I will assume the statement is supposed to be "the difference between 8 times a number and 5",<br>
The important part of this problem is to note the formal mathematical definition of "difference".<br>
In everyday English, the difference between 5 and 10 is 5, and the difference between 10 and 5 is 5.  That's because the usage does not distinguish between the larger and smaller number; the "difference" is taken to be a positive number.<br>
That can't be the case in formal mathematics.  In mathematical language, the "difference between A and B" is A-B.  So in mathematical language, the difference between 5 and 10 is 5-10 = -5, while the difference between 10 and 5 is 10-5=5.<br>
So your (corrected) statement is the difference between 8n and 5, which is<br>
ANSWER: 8n-5<br>