(7 X 10^5)divide(2x10^2) In Standard Form

2 min read Jun 16, 2024
(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:

  1. Divide the coefficients: Divide the numbers in front of the powers of 10. In our example, this is 7 ÷ 2 = 3.5.
  2. 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.
  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.

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