Use the principle of estimation to find an estimate for the following calculation. 818,997 - 67,900 ..... The estimated difference is
Use the principle of estimation to find an estimate for the following calculation. 818,997 - 67,900 ..... The estimated difference is
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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Question
![**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: 68,000
2. **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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde70baf6-6a16-40f4-88c8-03e4ca10721b%2F6cb52c3b-d3c9-4ab0-bcc7-fdc23b90f7fb%2Fiou2iuy_processed.png&w=3840&q=75)
Transcribed Image Text:**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: 68,000
2. **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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