How many whole numbers are there in between 25 and 65
How many whole numbers are there in between 25 and 65
The Correct Answer and Explanation is:
Answer:
There are 39 whole numbers between 25 and 65.
Explanation
To determine how many whole numbers lie between two given numbers, you need to understand what is meant by “between.” In mathematics, when we say “between 25 and 65,” we do not include 25 and 65 themselves. Instead, we are interested in the numbers greater than 25 but less than 65.
Let’s list a few of them to understand:
- The number after 25 is 26.
- The number before 65 is 64.
So, the sequence of whole numbers between 25 and 65 starts at 26 and ends at 64.
Now, to calculate how many numbers are in that sequence, we subtract the smallest number from the largest and add 1, because we’re counting inclusively from 26 to 64: 64−26+1=3964 – 26 + 1 = 39
Thus, there are 39 whole numbers between 25 and 65.
Here’s why we add 1:
If we count from 1 to 3, the number of whole numbers is: 3−1+1=33 – 1 + 1 = 3
That gives us 1, 2, and 3 — exactly three numbers.
This formula works the same way for any two whole numbers aa and bb where a<ba < b, and you’re counting the whole numbers from a+1a+1 to b−1b-1: (b−1)−(a+1)+1=b−a−1(b – 1) – (a + 1) + 1 = b – a – 1
Using this alternate form: 65−25−1=3965 – 25 – 1 = 39
Either way, the result is the same.
Understanding this principle is useful for solving a variety of math problems involving ranges, especially when learning about number sets, intervals, or doing programming and logic exercises.
So, to conclude:
✅ There are 39 whole numbers between 25 and 65.
