### Estimating Results Using RoundingUse 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)\[ \frac{390 \cdot 381}{142} \approx \boxed{\phantom{0}} \]### Explanation1. **(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 Summary1. **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.

Answered: Use rounding to the leftmost digit to…

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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Question

### 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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