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Key Insight: When dividing by \(10\), the decimal point moves one place to the left. For \(10^2\) (or 100), it moves two places to the left, and so on.
TL;DR: Multiplying a decimal by a power of 10 has the most satisfying shortcut in arithmetic: the decimal point just slides to the right. So 3.45 times 10 becomes 34.5, times 100 becomes 345, times 1000 becomes 3450. When a problem asks you to find the missing factor, count exactly how many places the decimal […]
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