There are exactly 100 integers from 1 to 100.
The question is straightforward: we are counting all the whole numbers starting at 1 and ending at 100, inclusive. This means we include both 1 and 100 in our count.
Understanding "Between" vs. "From...To"
It's important to distinguish this from asking how many integers are between 1 and 100. As the provided reference points out, the phrase "between 1 and 100" excludes the numbers 1 and 100 themselves. In that case, the answer would be 98.
- From 1 to 100 (inclusive): 1, 2, 3, ..., 98, 99, 100. (Count = 100)
- Between 1 and 100 (exclusive): 2, 3, 4, ..., 97, 98, 99. (Count = 98 - i.e. we don't include 1 or 100. See reference.)
Simple Calculation
The number of integers from a to b (inclusive) where a and b are integers and a ≤ b, is given by the formula:
Number of integers = b - a + 1
In this case, a = 1 and b = 100. Therefore:
Number of integers = 100 - 1 + 1 = 100
Clarification
To reiterate, because the question specifically asks for the number of integers "from 1 to 100", it is an inclusive count, meaning both 1 and 100 are included. Thus, there are 100 integers.
