Well, honey, if you wanna estimate the sum of 17 and 75, you could round them both to the nearest ten. So, 17 rounds up to 20 and 75 rounds down to 70. Add those together and you get a rough estimate of 90. But hey, who needs estimates when you can just do the math and get the exact sum of 92?
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To estimate the sum of 17 and 75, you can use compatible numbers that are close to the original numbers. For example, you can round 17 to 20 and 75 to 80. Adding these rounded numbers gives you an estimated sum of 100. This estimation provides a quick approximation of the actual sum while simplifying the calculation.
To find the sum of a set of numbers, you can use this formula: ∑ = (x)(x+1)/2 That is..... The sum = (The number of samples)(The number of samples + 1)/2 Example: What is the sum of all numbers between 500 and 1000? Assuming that we do not include 500 or 1000 in our answer, we have 498 numbers to add up. Let's put that into the formula.... ∑ = (498)(498+1)/2 ∑ = (498)(499)/2 ∑ = (248,502)/2 ∑ = 124,251 The Answer is 124,251
Well, the idea is to round each number, then add them. This basically allows you to do estimated calculations in your head, whereas the complete operation would require (for most people) to use pencil and paper, or a calculator. Since there are different ways to round numbers, the answers may vary. I would suggest, in this case, to round each number to the nearest multiple of 10.
The sum of a sequence is given by sum = n/2(2a + (n-1)d) where: n = how many a = first number of sequence d = difference between terms of sequence. For the first 22 odd numbers these are: n = 22 a = 1 d = 2 → sum = 22/2(2×1 + (22 - 1)×2)) = 22² = 484 The sum of the first n odd numbers is always n²: sum = n/2(2×1 + (n-1)2) = n/2(1 + (n-1))×2 = n(n) = n²
You round the two numbers you are multiplying and try it. Lets use 16 and 13 and round to the nearest ten. We would round 16 to 20, and 13 to 10. Then we multiply 20 and 10 and get 200. So the answer would be around 200. The actual answer is 208 by the way.
To find five numbers that equal 40, you can use any combination of numbers that add up to 40. For example, you could use 8, 8, 8, 8, and 8. Another combination could be 10, 10, 5, 5, and 10. As long as the sum of the five numbers equals 40, there are multiple possibilities for the specific numbers you can use.