There are 44 integers between 300 and 700 that are divisible by 9.
To arrive at this answer, we can follow these steps:
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Find the first multiple of 9 within the range: Divide 300 by 9, which gives approximately 33.33. Round this up to the nearest whole number, which is 34. Therefore, the first multiple of 9 greater than 300 is 34 * 9 = 306.
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Find the last multiple of 9 within the range: Divide 700 by 9, which gives approximately 77.77. Round this down to the nearest whole number, which is 77. Therefore, the last multiple of 9 less than 700 is 77 * 9 = 693.
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Determine the number of multiples: We need to find how many multiples of 9 there are from 306 (which is 34 9) to 693 (which is 77 9). This is equivalent to finding how many integers there are from 34 to 77 inclusive.
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Calculate the number of integers: To find the number of integers between 34 and 77 inclusive, subtract the smaller number from the larger number and add 1: 77 - 34 + 1 = 44.
Therefore, there are 44 integers between 300 and 700 that are divisible by 9.
