How to understand whole numbers between 1061 and 1201
Answers
Answer:
How many whole numbers are there between 1064 and 1201?
On the assumption that this is a homework problem, and based on the principle that learning a method is more important than submitting an answer, I will explain HOW to solve a problem like this:
How many whole numbers are there between X and Y ?
and, especially, what kind of mistakes can be made in doing so.
An obvious guess at the answer would be to subtract the smaller number from the larger number: Y-X or 1201 - 1064.
However, that would yield an answer of zero if both numbers were the same, and the result would be one for two consecutive numbers such as 1064 and 1065.
What is the answer to the following question:
“How many whole numbers are there between 1064 and 1065?
Subtracting these two gives an answer of one. Is that correct? NO, there is no (whole) number between 1064 and 1065, so the answer should be zero, not one.
Therefore, to count whole numbers between X and Y (where Y is greater than X), we must subtract one from the difference and the general answer is Y-X-1 .
(Or maybe the answer should be X+Y+1, if we count both endpoints; however, I’ll assume that the word “between” means “exclusive, so we don’t count those endpoints.)
Step-by-step explanation: