(3.8 X 10^7) X 162 In Scientific Notation

2 min read Jun 12, 2024
(3.8 X 10^7) X 162 In Scientific Notation

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.

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