Use the References to access important values if needed for this question. When 52.7 and 84.3 are multiplied, the answer should be reported to significant digit(s). The product reported to the correct number of significant digits is Use scientific notation to express your answer. The sum of 52.7 and 84.3 should be reported with the decimal point. The sum reported to the correct number of decimal places is digit(s) after

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question
### Understanding Significant Figures in Multiplication and Addition

When you're performing arithmetic operations like multiplication and addition, it's crucial to report your answers with the correct number of significant digits. Let's explore how you do this using the example below.

---

**Prompt:**
Use the References to access important values if needed for this question.

1. **Multiplication Operation:**
    When **52.7** and **84.3** are multiplied, the answer should be reported to ___ significant digit(s).
   
    *Text Box*

    The product reported to the correct number of significant digits is ___.
    
    Use scientific notation to express your answer.
   
    *Text Box*

2. **Addition Operation:**
    The sum of **52.7** and **84.3** should be reported with ___ digit(s) after the decimal point.
   
    *Text Box*

    The sum reported to the correct number of decimal places is ___.
    
    *Text Box*

---

**Key Concepts Explained:**

- **Significant Figures in Multiplication:**
    - When multiplying two numbers, the result should be reported with the same number of significant digits as the factor with the fewest significant digits.
    
- **Significant Figures in Addition:**
    - When adding two numbers, the result should be reported with the same number of decimal places as the addend with the fewest decimal places.

---

**Example Walkthrough:**

1. **Multiplying 52.7 and 84.3:**
    - Calculate the product: \(52.7 \times 84.3\).
    - Determine the number of significant digits in each number (both have 3 significant digits).
    - The answer should be rounded to 3 significant digits.

2. **Adding 52.7 and 84.3:**
    - Calculate the sum: \(52.7 + 84.3\).
    - Determine the smallest number of decimal places in the addends (both have 1 decimal place).
    - The answer should be reported with 1 digit after the decimal point.

---

After filling in your answers, click the **Submit Answer** button to check your results.

---

Feel confident in your understanding of significant figures, and ensure you apply these rules accurately in all your mathematical operations.
Transcribed Image Text:### Understanding Significant Figures in Multiplication and Addition When you're performing arithmetic operations like multiplication and addition, it's crucial to report your answers with the correct number of significant digits. Let's explore how you do this using the example below. --- **Prompt:** Use the References to access important values if needed for this question. 1. **Multiplication Operation:** When **52.7** and **84.3** are multiplied, the answer should be reported to ___ significant digit(s). *Text Box* The product reported to the correct number of significant digits is ___. Use scientific notation to express your answer. *Text Box* 2. **Addition Operation:** The sum of **52.7** and **84.3** should be reported with ___ digit(s) after the decimal point. *Text Box* The sum reported to the correct number of decimal places is ___. *Text Box* --- **Key Concepts Explained:** - **Significant Figures in Multiplication:** - When multiplying two numbers, the result should be reported with the same number of significant digits as the factor with the fewest significant digits. - **Significant Figures in Addition:** - When adding two numbers, the result should be reported with the same number of decimal places as the addend with the fewest decimal places. --- **Example Walkthrough:** 1. **Multiplying 52.7 and 84.3:** - Calculate the product: \(52.7 \times 84.3\). - Determine the number of significant digits in each number (both have 3 significant digits). - The answer should be rounded to 3 significant digits. 2. **Adding 52.7 and 84.3:** - Calculate the sum: \(52.7 + 84.3\). - Determine the smallest number of decimal places in the addends (both have 1 decimal place). - The answer should be reported with 1 digit after the decimal point. --- After filling in your answers, click the **Submit Answer** button to check your results. --- Feel confident in your understanding of significant figures, and ensure you apply these rules accurately in all your mathematical operations.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Measurement
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY