There are 450 odd integers between 100 and 1000.
Understanding Odd Integers
- Odd integers are whole numbers that cannot be divided evenly by 2.
- The sequence of odd integers goes like 1, 3, 5, 7, and so on.
- To find the number of odd integers in a range, we look at the pattern and apply a little math.
Determining the Range
- The first odd integer after 100 is 101.
- The last odd integer before 1000 is 999.
- Therefore, we are counting odd numbers within the inclusive range of 101 to 999.
Calculating the Number of Odd Integers
- We can use the arithmetic sequence formula or simply derive the number.
- The sequence of odd numbers forms an arithmetic progression where the common difference (d) is 2.
Based on the provided reference:
"d is the common difference. So, there are 450 odd numbers in between 100 and 1000."
This directly states the answer to our question.
Summary
| Concept | Value |
|---|---|
| First odd integer in range | 101 |
| Last odd integer in range | 999 |
| Number of odd integers | 450 |
Conclusion
By analyzing the sequence of odd integers and referencing the information provided, we can confirm that there are 450 odd integers between 100 and 1000.
