Scientific Notation: Simplifying Complex Calculations
Scientific notation is a powerful tool used to simplify complex calculations and make them easier to work with. In this article, we will explore the calculation (3.8 x 10^7) x 162 and show how to simplify it using scientific notation.
The Calculation
The calculation (3.8 x 10^7) x 162 may seem daunting at first, but with the help of scientific notation, we can simplify it and make it more manageable.
Step 1: Multiply the Coefficients
First, we need to multiply the coefficients 3.8 and 162.
3.8 x 162 = 615.6
Step 2: Multiply the Exponents
Next, we need to multiply the exponents. In scientific notation, when we multiply two numbers, we add their exponents.
10^7 x ? = 10^?
Since we are multiplying 10^7 by a number, the exponent remains the same, which is 7.
Step 3: Write the Answer in Scientific Notation
Now, we can write the answer in scientific notation by combining the coefficients and the exponents.
(3.8 x 10^7) x 162 = 615.6 x 10^7
Therefore, the final answer is 615.6 x 10^7.
Conclusion
In conclusion, scientific notation is a powerful tool that can simplify complex calculations and make them easier to work with. By following the steps outlined above, we can simplify the calculation (3.8 x 10^7) x 162 and get the answer 615.6 x 10^7.