## Dividing Numbers in Standard Form: (7 x 10^5) ÷ (2 x 10^2)

This article will guide you through the process of dividing numbers expressed in standard form, specifically focusing on the example (7 x 10^5) ÷ (2 x 10^2).

### Understanding Standard Form

Standard form, also known as scientific notation, is a way of writing very large or very small numbers concisely. A number in standard form is expressed as a number between 1 and 10 (including 1) multiplied by a power of 10.

### Dividing Numbers in Standard Form

To divide numbers in standard form, follow these steps:

**Divide the coefficients:**Divide the numbers in front of the powers of 10. In our example, this is 7 ÷ 2 = 3.5.**Divide the powers of 10:**Divide the powers of 10 by subtracting the exponents. In our example, this is 10^5 ÷ 10^2 = 10^(5-2) = 10^3.**Combine the results:**Combine the results from steps 1 and 2 to get the final answer in standard form. In our example, (7 x 10^5) ÷ (2 x 10^2) =**3.5 x 10^3**.

### Conclusion

Therefore, the result of dividing (7 x 10^5) by (2 x 10^2) is **3.5 x 10^3** in standard form. Remember, the key is to separate the coefficients and powers of 10, apply the division rules, and then combine the results.