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(3x10^8) X (3x10^7)

2 min read Jun 16, 2024
(3x10^8) X (3x10^7)

Calculating (3 x 10⁸) x (3 x 10⁷)

This problem involves multiplying two numbers written in scientific notation. Here's a breakdown of how to solve it:

Understanding Scientific Notation

Scientific notation is a way of expressing very large or very small numbers concisely. It follows the form: a x 10<sup>b</sup>, where:

  • a is a number between 1 and 10 (often called the coefficient).
  • b is an integer (positive or negative) representing the power of 10.

Multiplying in Scientific Notation

To multiply numbers in scientific notation, follow these steps:

  1. Multiply the coefficients: (3 x 3) = 9
  2. Add the exponents: (8 + 7) = 15
  3. Combine the results: 9 x 10<sup>15</sup>

Solution

Therefore, (3 x 10⁸) x (3 x 10⁷) = 9 x 10<sup>15</sup>.

Additional Notes

  • Scientific Notation in Context: Scientific notation is commonly used in fields like physics, chemistry, and astronomy to represent extremely large or small quantities.
  • Example: The distance from the Earth to the Sun is approximately 150 million kilometers. This can be expressed in scientific notation as 1.5 x 10⁸ kilometers.

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