The number 0.209 x 10^2 is not in scientific notation because 0.209 is not between 1 and 10. Write 0.209 x 10^2 in scientific notation 

To express \( 0.209 \times 10^2 \) in proper scientific notation, the number must be adjusted so that the coefficient (the number before the power of 10) is between 1 and 10.

Here’s the process:

1. Move the decimal point in \( 0.209 \) one place to the right to get \( 2.09 \). This increases the coefficient to be between 1 and 10.
2. Since you moved the decimal point one place to the right, you must reduce the exponent by 1 to compensate.

Thus, \( 0.209 \times 10^2 \) becomes:

\[
2.09 \times 10^1
\]

This is the correct scientific notation.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the general rule for writing numbers in scientific notation?
2. How do you convert a number like 0.00234 into scientific notation?
3. Why do we use scientific notation in mathematics and science?
4. Can scientific notation be used with negative exponents? If so, how?
5. How do you multiply two numbers written in scientific notation?

**Tip:** When writing numbers in scientific notation, always ensure the coefficient is between 1 and 10, and adjust the exponent accordingly.

The number 0.209 x 10^2 is not in scientific notation because 0.209 is not between 1 and 10. Write 0.209 x 10^2 in scientific notation.

Learn how to convert 0.209 x 10^2 to proper scientific notation with this step-by-step guide. Understand key mathematical concepts such as scientific notation, exponents, and how to adjust the decimal point. Suitable for students in Grades 6-8.

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