**How to Estimate Differences: A Practical Approach****Objective:** Use the principle of estimation to find an approximate value for the following calculation.**Problem:** 818,997 – 67,900**Steps to Estimate:**1. **Round Each Number:** - Round 818,997 to the nearest thousand: 819,000 - Round 67,900 to the nearest thousand: 68,0002. **Subtract the Rounded Numbers:** \[ 819,000 - 68,000 = 751,000 \]**Solution:** The estimated difference is 751,000.**Explanation of the Estimation Process:**In estimation, rounding numbers to the nearest thousand (or another significant figure) simplifies the subtraction process, providing a quick and easy way to find an approximate answer. Estimation is especially helpful for verifying the reasonableness of exact calculations or when an exact figure isn't necessary.**Interactive Element:** Students are encouraged to practice rounding and evaluating approximate differences to enhance their number sense and estimation skills, which are crucial for real-world problem-solving.

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Answered: Use the principle of estimation to find…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Use the principle of estimation to find an estimate for the following calculation. 818,997 - 67,900 ..... The estimated difference is