Express your answer in scientific notation.
\[3600 - 6.3\cdot10^{2} = \]

We begin by evaluating the expression \(3600 - 6.3 \cdot 10^{2}\).

1. First, calculate \(6.3 \cdot 10^2\):
\[
6.3 \cdot 10^2 = 6.3 \cdot 100 = 630
\]

2. Now, subtract this result from 3600:
\[
3600 - 630 = 2970
\]

3. Finally, express 2970 in scientific notation. This is done by writing it as a number between 1 and 10 multiplied by a power of 10:
\[
2970 = 2.97 \cdot 10^3
\]

Thus, the answer in scientific notation is:
\[
2.97 \cdot 10^3
\]

Would you like any further details or clarification on any step? 

Here are 5 related questions:
1. How do you convert any number into scientific notation?
2. What is the process for multiplying numbers in scientific notation?
3. How do you subtract numbers in scientific notation?
4. Can you explain the relationship between standard notation and scientific notation?
5. How can you perform operations with very large or small numbers using scientific notation?

**Tip**: Always remember that in scientific notation, the coefficient should be a number between 1 and 10.

Learn how to subtract numbers in scientific notation with a step-by-step solution. This problem involves converting numbers to scientific notation, performing subtraction, and converting back. Suitable for high school students.

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