Use rounding to the leftmost digit to estimate the results of each of the following expressions. Complete parts (a) through (d). 455 + 347 (a) 103 3• 384 + 824 (b) 71 + 7 390 • 381 (c) 142
Use rounding to the leftmost digit to estimate the results of each of the following expressions. Complete parts (a) through (d). 455 + 347 (a) 103 3• 384 + 824 (b) 71 + 7 390 • 381 (c) 142
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Estimating Results Using Rounding
Use rounding to the leftmost digit to estimate the results of each of the following expressions. Complete parts (a) through (c).
#### (a)
\[ \frac{455 + 347}{103} \approx \boxed{\phantom{0}} \]
#### (b)
\[ \frac{3 \cdot 384 + 824}{71 + 7} \approx \boxed{\phantom{0}} \]
#### (c)
\[ \frac{390 \cdot 381}{142} \approx \boxed{\phantom{0}} \]
### Explanation
1. **(a)** Estimate each number by rounding to the highest place value and perform the calculation.
2. **(b)** Similarly, round each number appropriately before performing the arithmetic operation.
3. **(c)** Follow the same approach of rounding and then calculating.
### Calculation Steps Summary
1. **Convert numbers:**
- For addition or subtraction: round each number individually.
- For multiplication or division: round each number individually.
2. **Simplify operations:**
- Perform addition, subtraction, multiplication, or division using the rounded numbers.
3. **Estimate the result:**
- Use the simplified numbers to get an approximate result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdae00ab4-d615-48c1-8bca-63853cfbe238%2F8a317314-e243-4923-8e2d-a4f118ca9253%2Fm18g0h_processed.png&w=3840&q=75)
Transcribed Image Text:### Estimating Results Using Rounding
Use rounding to the leftmost digit to estimate the results of each of the following expressions. Complete parts (a) through (c).
#### (a)
\[ \frac{455 + 347}{103} \approx \boxed{\phantom{0}} \]
#### (b)
\[ \frac{3 \cdot 384 + 824}{71 + 7} \approx \boxed{\phantom{0}} \]
#### (c)
\[ \frac{390 \cdot 381}{142} \approx \boxed{\phantom{0}} \]
### Explanation
1. **(a)** Estimate each number by rounding to the highest place value and perform the calculation.
2. **(b)** Similarly, round each number appropriately before performing the arithmetic operation.
3. **(c)** Follow the same approach of rounding and then calculating.
### Calculation Steps Summary
1. **Convert numbers:**
- For addition or subtraction: round each number individually.
- For multiplication or division: round each number individually.
2. **Simplify operations:**
- Perform addition, subtraction, multiplication, or division using the rounded numbers.
3. **Estimate the result:**
- Use the simplified numbers to get an approximate result.
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