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(3x10^9)x(2x10^17) In Scientific Notation

2 min read Jun 16, 2024
(3x10^9)x(2x10^17) In Scientific Notation

Simplifying Scientific Notation: (3 x 10^9) x (2 x 10^17)

Scientific notation is a convenient way to express very large or very small numbers. Let's explore how to simplify the multiplication of (3 x 10^9) x (2 x 10^17) in scientific notation.

The Basics of Scientific Notation

Scientific notation follows the format: a x 10^b where:

  • a is a number between 1 and 10 (inclusive).
  • b is an integer representing the power of 10.

Multiplying Numbers in Scientific Notation

When multiplying numbers in scientific notation, we follow these steps:

  1. Multiply the coefficients (a values): In our case, 3 x 2 = 6.
  2. Add the exponents (b values): 9 + 17 = 26.

Combining the Results

Combining the results from steps 1 and 2, we get 6 x 10^26.

Therefore, the simplified form of (3 x 10^9) x (2 x 10^17) in scientific notation is 6 x 10^26.

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