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2.2 Determine the exact answer for each of the calcularions in question 2.1 above, by working out the errors caused by rounding and compensating for them. 2.2 .1 723+586

Ask by Norton Dunn. in South Africa
Mar 10,2025

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The exact answer is 1309.

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Calculate or simplify the expression \( 723+586 \). Calculate the value by following steps: - step0: Calculate: \(723+586\) - step1: Add the numbers: \(1309\) The exact answer for the calculation \(723+586\) is 1309.

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To determine the exact sum of 723 and 586 while considering rounding errors, you'll first add the numbers accurately: 723 + 586 = 1309. If either number was rounded, let's say 723 was rounded to 720 and 586 to 590, you'd need to calculate the difference caused by rounding: For 723 → 720, error = -3 For 586 → 590, error = +4 Total error = -3 + 4 = +1 Now, add this error back to the exact sum: 1309 + 1 = 1310, showcasing how rounding can alter results! Remember, rounding is a sneaky little critter—it can change the outcome without you even realizing it! It’s essential to keep track of the rounding errors, especially in fields like finance or engineering, where precision is key. By compensating for these errors, you ensure your calculations remain robust and reliable!

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