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Scientific Notation Explained

A compact way to write very large and very small numbers used throughout science.

The Format

Scientific notation writes a number as a value between 1 and 10 multiplied by a power of 10. So 6,000,000 becomes 6 × 10⁶ and 0.0000045 becomes 4.5 × 10⁻⁶. The exponent counts how many places the decimal point moved.

Why It's Useful in Conversions

Some conversions involve huge or tiny factors — the speed of light, electronvolts, nanometers. Scientific notation keeps these readable and makes the order of magnitude obvious at a glance, which is harder with long strings of zeros.

Powers of Ten and Prefixes

Each metric prefix corresponds to a power of ten: kilo is 10³, mega is 10⁶, giga is 10⁹, milli is 10⁻³, micro is 10⁻⁶. Knowing this makes it easy to move between scientific notation and unit prefixes.

Frequently Asked Questions

How do I multiply numbers in scientific notation?

Multiply the leading values and add the exponents: (2 × 10³) × (3 × 10⁴) = 6 × 10⁷.

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