There are 33 integers between 300 and 600 that are divisible by 9.
Finding the Solution
To determine the number of integers divisible by 9 within the specified range, we can follow these steps:
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Find the first multiple: The smallest multiple of 9 greater than 300 is 306 (300/9 ≈ 33.33, so 9 * 34 = 306).
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Find the last multiple: The largest multiple of 9 less than 600 is 594 (600/9 ≈ 66.67, so 9 * 66 = 594).
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Calculate the number of multiples: To find the number of multiples of 9 between 306 and 594, we use the formula: (Last multiple - First multiple) / 9 + 1. This gives us (594 - 306) / 9 + 1 = 33.
Therefore, there are 33 integers between 300 and 600 that are divisible by 9. This aligns with the information found in several sources which state that there are 33 such integers. See References
Practical Application
This type of calculation is useful in various scenarios, including:
- Inventory management: Determining the number of items in a batch divisible by a specific quantity for packaging purposes.
- Scheduling: Calculating the number of events that occur at regular intervals within a given time frame.
- Data analysis: Identifying the number of data points that meet a specific criterion based on divisibility.
References
- Multiple online sources (Brainly, Math Answers, Quora, Testbook, Doubtnut, Byjus) corroborate the answer of 33 integers. These sources employ similar methods for calculation as detailed above. Note that minor variations in phrasing may occur, specifying the range as "between" or "inclusive of," but the core calculation and answer remain consistent.
