Convert the following to scientific notation 45000 atoms 75.0 x 102 km 0.012100 L 50.600 m 5.773 cm

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
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### 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.
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
Step 1

Given values:

  • 45000 atoms
  • 75.0 × 102 km
  • 0.012100 L
  • 50.600 m
  • 5.773 cm

We have to convert these values to scientific notations.

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