To count how many numbers are between 5 and 18, inclusive, it is essential to recognize the significance of including both endpoints. Instead of the erroneous subtraction of 18 - 5 = 13, manually listing the numbers reveals there are 14 from 5 to 18. A trick to simplify counting is to shift the numbers by reducing each by 4, allowing easy recognition of the count. The formula for determining how many numbers are in a range from a to b includes adding 1: b - a + 1, a vital detail often overlooked.
Counting numbers in a range is straightforward but can be misleading. The common mistake is forgetting to include both endpoints of the range.
Instead of counting by subtraction, converting the numbers can clarify the count. Adjusting the range by shifting numbers allows easy counting.
The formula to count numbers from a to b, inclusive, is b - a + 1. This small addition can change the total count significantly.
The +1 rule in the counting formula is often overlooked, leading to inaccuracies in determining the number of items in a range.
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