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(2 X 10^3) + (5 X 10^5)

2 min read Jun 16, 2024
(2 X 10^3) + (5 X 10^5)

Simplifying the Expression: (2 x 10^3) + (5 x 10^5)

This expression involves scientific notation, a convenient way to represent very large or very small numbers. Let's break down the steps to simplify it:

Understanding Scientific Notation

In scientific notation, a number is written as the product of a coefficient (a number between 1 and 10) and a power of 10. For example:

  • 2 x 10^3 represents 2 multiplied by 10 raised to the power of 3, which is equal to 2000.
  • 5 x 10^5 represents 5 multiplied by 10 raised to the power of 5, which is equal to 500,000.

Performing the Calculation

  1. Identify the exponents: In this case, the exponents are 3 and 5.
  2. Ensure the exponents are the same: To add these terms, they need to have the same exponent. We can rewrite (2 x 10^3) as (0.02 x 10^5)
  3. Add the coefficients: Now we have (0.02 x 10^5) + (5 x 10^5). Adding the coefficients gives us (0.02 + 5) x 10^5 = 5.02 x 10^5

The Result

Therefore, (2 x 10^3) + (5 x 10^5) = 5.02 x 10^5. This represents the number 502,000 in scientific notation.

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