To order the numbers from smallest to largest, let’s first convert each number to standard decimal notation.

1. $2.002 \times 10^4 = 20,020$
2. $9.4 \times 10^6 = 9,400,000$
3. $6.4 \times 10^3 = 6,400$
4. $6.409 \times 10^3 = 6,409$
5. $6.46 \times 10^3 = 6,460$

Now, arrange them from smallest to largest:

• $6.4 \times 10^3 = 6,400$
• $6.409 \times 10^3 = 6,409$
• $6.46 \times 10^3 = 6,460$
• $2.002 \times 10^4 = 20,020$
• $9.4 \times 10^6 = 9,400,000$

Thus, the correct order from smallest to largest is:

1. $6.4 \times 10^3$
2. $6.409 \times 10^3$
3. $6.46 \times 10^3$
4. $2.002 \times 10^4$
5. $9.4 \times 10^6$

Would you like more details on this, or do you have any questions?

Here are 5 related questions for further practice:

1. How do you compare two numbers written in scientific notation?
2. What is the process for converting scientific notation into standard form?
3. How would you write $3.5 \times 10^5$ in standard form?
4. What happens when you multiply two numbers in scientific notation?
5. How does scientific notation help in handling very large or small numbers?

Tip: When comparing numbers in scientific notation, pay attention to the exponents first. The larger the exponent, the larger the number!