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
![### Scientific Notation Conversion Table
The table below illustrates examples for converting various numerical values into scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
| Number | Unit | Scientific Notation |
|--------|---------------|---------------------|
| 45000 | atoms | |
| 75.0 x 10² | km | |
| 0.012100 | L | |
| 50.600 | m | |
| 5.773 | cm | |
In this exercise, you are expected to convert each of the given numbers into scientific notation. This involves expressing the number as a product of a number between 1 and 10 and a power of ten. For example, 45000 can be expressed as \(4.5 \times 10^4\).
#### Explanation of Scientific Notation Conversion:
- **45000 atoms**: Identify the most significant digit and count the number of places to the right until you reach the last significant digit.
- **75.0 x 10² km**: Note that the number is already partially in scientific notation. Simplify further if necessary by adjusting the exponent.
- **0.012100 L**: Move the decimal point to position after the first significant figure.
- **50.600 m**: Identify significant figures and convert accordingly.
- **5.773 cm**: No need to move the decimal point more than needed to express the number in a compact form.
Please fill in the blanks with the correct scientific notation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F824a9fa1-de73-4e5c-9ec2-2636af2daa25%2Fa9d00eb0-5eb0-42a4-869e-7cbc5c67582f%2Fqfqgbwk_processed.png&w=3840&q=75)
Transcribed Image Text:### Scientific Notation Conversion Table
The table below illustrates examples for converting various numerical values into scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
| Number | Unit | Scientific Notation |
|--------|---------------|---------------------|
| 45000 | atoms | |
| 75.0 x 10² | km | |
| 0.012100 | L | |
| 50.600 | m | |
| 5.773 | cm | |
In this exercise, you are expected to convert each of the given numbers into scientific notation. This involves expressing the number as a product of a number between 1 and 10 and a power of ten. For example, 45000 can be expressed as \(4.5 \times 10^4\).
#### Explanation of Scientific Notation Conversion:
- **45000 atoms**: Identify the most significant digit and count the number of places to the right until you reach the last significant digit.
- **75.0 x 10² km**: Note that the number is already partially in scientific notation. Simplify further if necessary by adjusting the exponent.
- **0.012100 L**: Move the decimal point to position after the first significant figure.
- **50.600 m**: Identify significant figures and convert accordingly.
- **5.773 cm**: No need to move the decimal point more than needed to express the number in a compact form.
Please fill in the blanks with the correct scientific notation.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given values:
- 45000 atoms
- 0.012100 L
- 50.600 m
- 5.773 cm
We have to convert these values to scientific notations.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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