Q8. Convert 76.8 cm to m. (a) 0.0768 m (c) 0.768 m Q9. Convert 2855 mg to kg. (a) 2.855 x 10³ kg (b) 2.855 kg (c) 0.02855 kg (d) 3.503 x 104 kg Chemical Principles (b) 7.68 m (d) 7.68 x 10-2 m P:91 'e:g1 'qt
Q8. Convert 76.8 cm to m. (a) 0.0768 m (c) 0.768 m Q9. Convert 2855 mg to kg. (a) 2.855 x 10³ kg (b) 2.855 kg (c) 0.02855 kg (d) 3.503 x 104 kg Chemical Principles (b) 7.68 m (d) 7.68 x 10-2 m P:91 'e:g1 'qt
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...
Related questions
Question
100%
Q9. I am unsure on how to get the final answer. I believe we have to convert the number to scientific notation but I’m not sure how they got that answer.
![**Unit Conversion Examples**
Let's go through two examples of unit conversions: one for length and one for mass.
### Length Conversion
**Given Values:**
- 1 centimeter (cm) = 0.01 meters (m)
**Problem:** Convert 76.8 cm to meters (m).
**Steps:**
1. Multiply the length in centimeters by the conversion factor to convert it to meters.
2.
\[76.8 \times 0.01\]
**Calculation:**
\[76.8 \times 0.01 = 0.768 \, m\]
**Result:**
\[76.8 \, cm = 0.768 \, m\]
### Mass Conversion
**Given Values:**
- 1 milligram (mg) = \(1 \times 10^{-6}\) kilograms (kg)
**Problem:** Convert 2855 mg to kilograms (kg).
**Steps:**
1. Multiply the mass in milligrams by the conversion factor to convert it to kilograms.
2.
\[2855 \, mg \times \frac{1 \times 10^{-6} \, kg}{1 \, mg}\]
**Calculation:**
\[2855 \, mg \times 1 \times 10^{-6} = 0.002855 \, kg\]
**Result:**
\[2855 \, mg = 0.002855 \, kg\]
These examples illustrate basic unit conversions using multiplication by appropriate conversion factors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F538f3e83-7f0d-4c1a-a688-bdf41958b228%2F05c26ad9-fecf-40fa-98f6-f1060eeaf9b1%2Frfvivnh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Unit Conversion Examples**
Let's go through two examples of unit conversions: one for length and one for mass.
### Length Conversion
**Given Values:**
- 1 centimeter (cm) = 0.01 meters (m)
**Problem:** Convert 76.8 cm to meters (m).
**Steps:**
1. Multiply the length in centimeters by the conversion factor to convert it to meters.
2.
\[76.8 \times 0.01\]
**Calculation:**
\[76.8 \times 0.01 = 0.768 \, m\]
**Result:**
\[76.8 \, cm = 0.768 \, m\]
### Mass Conversion
**Given Values:**
- 1 milligram (mg) = \(1 \times 10^{-6}\) kilograms (kg)
**Problem:** Convert 2855 mg to kilograms (kg).
**Steps:**
1. Multiply the mass in milligrams by the conversion factor to convert it to kilograms.
2.
\[2855 \, mg \times \frac{1 \times 10^{-6} \, kg}{1 \, mg}\]
**Calculation:**
\[2855 \, mg \times 1 \times 10^{-6} = 0.002855 \, kg\]
**Result:**
\[2855 \, mg = 0.002855 \, kg\]
These examples illustrate basic unit conversions using multiplication by appropriate conversion factors.
Transcribed Image Text:**Significant Figures and Unit Conversions Practice Questions**
**Q6. Perform this addition to the correct number of significant figures: 8.32 + 12.148 + 0.02**
- (a) 20.488
- (b) 20.49
- (c) 20.5
- (d) 21
**Q7. Perform this calculation to the correct number of significant figures: 78.222 × (12.02 − 11.52)**
- (a) 39
- (b) 39.1
- (c) 39.11
- (d) 39.111
**Q8. Convert 76.8 cm to m.**
- (a) 0.0768 m
- (b) 7.68 m
- (c) 0.768 m
- (d) 7.68 × 10⁻² m
**Q9. Convert 2855 mg to kg.**
- (a) 2.855 × 10⁻³ kg
- (b) 2.855 kg
- (c) 0.02855 kg
- (d) 3.503 × 10⁻⁴ kg
---
**Chemical Principles**
**Uncertainty**
Scientists report measured quantities so that the number of digits reflects the certainty in the measurement. Write measured quantities so that every digit is certain except the last, which is estimated.
**Units**
Measured quantities usually have units associated with them. The SI unit for length is the meter; for mass, the kilogram; and for time, the second. Prefix multipliers such as kilo- or milli- are often used in combination with these basic units. The SI units for length and mass are highlighted in the third image.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Knowledge Booster
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.Recommended textbooks for you
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY