(3x10^2)(2x10^3)

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

Simplifying Scientific Notation: (3 x 10²) (2 x 10³)

This article will walk you through simplifying the expression **(3 x 10²) (2 x 10³) ** using the principles of scientific notation.

Understanding Scientific Notation

Scientific notation is a way to express very large or very small numbers in a compact and convenient form. It follows the format:

a x 10^b

Where:

  • a is a number between 1 and 10 (the coefficient)
  • b is an integer (the exponent)

Simplifying the Expression

To simplify the expression **(3 x 10²) (2 x 10³) **, we can use the following steps:

  1. Multiply the coefficients: 3 x 2 = 6
  2. Multiply the powers of 10: 10² x 10³ = 10^(2+3) = 10⁵

Therefore, the simplified expression is:

(3 x 10²) (2 x 10³) = 6 x 10⁵

Conclusion

The expression **(3 x 10²) (2 x 10³) ** simplifies to 6 x 10⁵. By understanding the rules of scientific notation, we can effectively multiply and simplify expressions involving large and small numbers.

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