Place the following numbers in order from least to greatest. 



831000,  3.1×10−3,  8.2%,  9.5×10−2831000,  3.1×10−3,  8.2%,  9.5×10−2


To place the numbers in order from least to greatest, we first need to convert all the numbers into a comparable format, preferably decimal form. Here's the breakdown:

1. **831000** is already in decimal form:  
   \[
   831000
   \]

2. **\( 3.1 \times 10^{-3} \)** is written as:  
   \[
   3.1 \times 10^{-3} = 0.0031
   \]

3. **8.2%** can be converted to decimal by dividing by 100:  
   \[
   8.2\% = \frac{8.2}{100} = 0.082
   \]

4. **\( 9.5 \times 10^{-2} \)** is written as:  
   \[
   9.5 \times 10^{-2} = 0.095
   \]

Now, let's list all the numbers in decimal form:

- \( 0.0031 \)
- \( 0.082 \)
- \( 0.095 \)
- \( 831000 \)

**Order from least to greatest:**

\[
3.1 \times 10^{-3} \, (0.0031), \, 8.2\% \, (0.082), \, 9.5 \times 10^{-2} \, (0.095), \, 831000
\]

Would you like more details or have any questions? Here are some related topics that might interest you:

1. How to compare numbers with different formats.
2. Converting percentages to decimals and fractions.
3. Scientific notation and its applications in ordering numbers.
4. Working with very large and very small numbers.
5. Understanding percentages in different contexts.

**Tip:** When comparing numbers, converting them all to the same format, such as decimals, makes it easier to see which are smaller or larger.

Learn how to order numbers involving scientific notation, percentages, and decimals. This problem covers converting percentages to decimals, comparing numbers in scientific notation, and ordering numbers of different magnitudes. Suitable for high school students.

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