The sum of the even numbers is (26 + 28 + ... + 100);
The sum of the odd numbers is (25 + 27 + ... + 99)
Their difference is:
(26 + 28 + ... + 100) - (25 + 27 + ... + 99) = (26 - 25) + (28 - 27) + ... + (100 - 99)
= 1 + 1 + ... + 1
There are (100 - 26) ÷ 2 + 1 = 38 terms above which are all 1; their sum is 38 x 1 = 38.
So the difference of the sum of all even numbers and all odd numbers 25-100 is 38.
To find how many numbers between 1 and 100 inclusive are divisible by 2, we can identify the even numbers in that range. The even numbers from 1 to 100 are 2, 4, 6, ..., 100. This forms an arithmetic sequence where the first term is 2, the last term is 100, and the common difference is 2. There are 50 even numbers (2, 4, 6, ..., 100), so there are 50 numbers between 1 and 100 that are divisible by 2.
To find the even numbers between 100 and 400, we note that the range includes numbers from 102 to 398. The first even number is 102, and the last is 398. The even numbers form an arithmetic sequence with a common difference of 2. To find the count, we can use the formula for the number of terms in an arithmetic sequence: ( n = \frac{(last - first)}{difference} + 1 ), which gives ( n = \frac{(398 - 102)}{2} + 1 = 149 ). Thus, there are 149 even numbers between 100 and 400.
Divide the two numbers, then multiple by 100
There are 25 such numbers.
To determine what 100 is between 6308 and 5808, we can calculate the difference between the two numbers. The difference is 6308 - 5808 = 500. Therefore, 100 is 100 out of 500, which means it is 20% of the way from 5808 to 6308. Thus, adding 100 to 5808 gives us 5908, which is where 100 falls between the two numbers.
76
The maximum difference is 8, between 89 and 97.
There are 100 even numbers between 1 and 200 (inclusive).
Divide the two numbers, then multiple by 100
There are 25 such numbers.
300.
To determine what 100 is between 6308 and 5808, we can calculate the difference between the two numbers. The difference is 6308 - 5808 = 500. Therefore, 100 is 100 out of 500, which means it is 20% of the way from 5808 to 6308. Thus, adding 100 to 5808 gives us 5908, which is where 100 falls between the two numbers.
8
90
Excluding 22 and 100, there are 39
There are 40 odd numbers between 20 and 100. Remember that an odd number is every second number. There are 80 numbers between 20 and 100, so there are 40 odd numbers and 40 even numbers.
To calculate the percentage difference between two numbers, you first find the difference between the two numbers, which in this case is 25437 - 21610 = 3837. Then, you divide this difference by the original number (21610) and multiply by 100 to get the percentage difference: (3837 / 21610) * 100 ≈ 17.75%. Therefore, the percentage difference between 21610 and 25437 is approximately 17.75%.