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Term

Power of Ten

Numbers of the form 10^k. Basis for decimal place value and metric prefixes.

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A power of ten is \(10^k\) for some non-negative integer \(k\): 1, 10, 100, 1000, 10000, 100000, 1 000 000…

The decimal place-value system is built from powers of ten: each position represents \(10^k\). The metric (SI) prefix system is also built from powers of ten — kilo (\(10^3\)), mega (\(10^6\)), giga (\(10^9\)), tera (\(10^{12}\)), and so on.

In scientific notation, all numbers are written as \(a \times 10^k\) for some \(1 \leq |a| < 10\), making powers of ten the canonical scale unit for human-readable orders of magnitude.

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