“How do I divide numbers in scientific notation?”

Dividing numbers in scientific notation involves following a few straightforward steps. Here's how to divide two numbers expressed in scientific notation:

### Steps to Divide Numbers in Scientific Notation:

1. **Divide the coefficients**: The coefficients are the numbers in front of the powers of 10. Divide the two coefficients just like any regular division.
   
   For example, in \( (6.0 \times 10^5) \div (2.0 \times 10^3) \), divide \( 6.0 \div 2.0 = 3.0 \).

2. **Subtract the exponents**: The powers of 10 are handled by subtracting the exponent of the denominator from the exponent of the numerator.

   In the above example, \( 10^5 \div 10^3 = 10^{5 - 3} = 10^2 \).

3. **Combine the results**: Multiply the result of the coefficient division by the resulting power of 10.

   In our example, \( 3.0 \times 10^2 \).

So, \( (6.0 \times 10^5) \div (2.0 \times 10^3) = 3.0 \times 10^2 \), or simply \( 3.0 \times 100 = 300 \).

### General Formula:
\[
\frac{(a \times 10^m)}{(b \times 10^n)} = \left(\frac{a}{b}\right) \times 10^{m-n}
\]
Where:
- \(a\) and \(b\) are the coefficients.
- \(m\) and \(n\) are the exponents of 10.

Would you like a more detailed explanation or examples?

### Relative questions:
1. How do you multiply numbers in scientific notation?
2. What is scientific notation used for?
3. How do you convert between scientific notation and standard form?
4. What are some rules for significant figures in scientific notation?
5. How do you add and subtract numbers in scientific notation?

**Tip:** When working with very large or small numbers, scientific notation simplifies calculations by focusing on powers of 10!

How do I divide numbers in scientific notation?

Learn how to divide numbers in scientific notation with a simple step-by-step guide. Understand how to divide coefficients and subtract exponents using the formula (a × 10^m) ÷ (b × 10^n). Suitable for students in Grades 8-10.

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