divide(2x10%5E2)-in-standard-form.jpeg "(7 X 10^5)divide(2x10^2) In Standard Form")
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.