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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:
- Multiply the coefficients: 3 x 2 = 6
- 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.