(2x10^3)+(5x10^5) In Scientific Notation

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Jul 03, 2024

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

Scientific notation is a concise way to express very large or very small numbers. It is written in the form a × 10^b, where a is a number between 1 and 10, and b is an integer. In this article, we will evaluate the expression (2x10^3) + (5x10^5) in scientific notation.

Evaluating the Expression

To evaluate the expression (2x10^3) + (5x10^5), we need to follow the order of operations (PEMDAS):

1. Evaluate the exponents: 10^3 and 10^5
2. Multiply the coefficients: 2 and 5
3. Add the two terms

Step 1: Evaluate the Exponents

10^3 = 1000 10^5 = 100,000

Step 2: Multiply the Coefficients

2 × 1000 = 2000 5 × 100,000 = 500,000

Step 3: Add the Two Terms

Now, add the two terms:

2000 + 500,000 = 502,000

The Final Answer

The final answer in scientific notation is:

5.02 × 10^5

Therefore, the expression (2x10^3) + (5x10^5) is equal to 5.02 × 10^5 in scientific notation.