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(2x10^3)+(5x10^5)

2 min read Jun 16, 2024
(2x10^3)+(5x10^5)

Adding Scientific Notation: (2x10^3) + (5x10^5)

This article will explore the process of adding two numbers in scientific notation: (2 x 10^3) + (5 x 10^5).

Understanding Scientific Notation

Scientific notation is a way to express very large or very small numbers in a compact form. It consists of two parts:

  • A coefficient: A number between 1 and 10.
  • A power of 10: Indicates the magnitude of the number.

For example, 5 x 10^5 represents 5 multiplied by 10 raised to the power of 5, which is equal to 500,000.

Adding Numbers in Scientific Notation

To add numbers in scientific notation, the following steps are necessary:

  1. Ensure the powers of 10 are the same. If they are not, adjust one of the numbers to match the other.
  2. Add the coefficients.
  3. Keep the power of 10 the same.

Example: (2 x 10^3) + (5 x 10^5)

  1. Adjust the powers of 10:
    • Since 10^5 is greater than 10^3, we adjust the first number:
      • 2 x 10^3 = 0.2 x 10^5
  2. Add the coefficients:
    • 0.2 x 10^5 + 5 x 10^5 = 5.2 x 10^5

Conclusion

Therefore, (2 x 10^3) + (5 x 10^5) = 5.2 x 10^5. By following these steps, you can successfully add numbers expressed in scientific notation.

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