(2.3x10%5E6)-in-scientific-notation.jpeg "(3.9x10^2)(2.3x10^6) In Scientific Notation")
Scientific Notation: Evaluating (3.9x10^2)(2.3x10^6)
Scientific notation is a convenient way to express very large or very small numbers in a more compact and readable form. It involves writing a number in the form a × 10^n, where a is a number between 1 and 10, and n is an integer. In this article, we will evaluate the expression (3.9x10^2)(2.3x10^6) using scientific notation.
Step 1: Multiply the Coefficients
To multiply two numbers in scientific notation, we need to multiply the coefficients (the numbers before the × 10 part) and add the exponents. Let's start by multiplying the coefficients:
3.9 × 2.3 = 8.97
Step 2: Multiply the Exponents
Next, we need to add the exponents:
2 + 6 = 8
So, the product of the exponents is 10^8.
Step 3: Write the Answer in Scientific Notation
Now, we can write the answer in scientific notation by combining the result from Step 1 and Step 2:
8.97 × 10^8
Therefore, the final answer is 8.97 × 10^8.
Conclusion
Evaluating expressions in scientific notation involves multiplying the coefficients and adding the exponents. By following these steps, we can easily calculate the product of (3.9x10^2)(2.3x10^6) and express the result in scientific notation.
