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Powerful Decimals: How to Uncover the Missing Number in Division by Powers of 10

Powerful Decimals: How to Uncover the Missing Number in Division by Powers of 10

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.

How to Determine the Missing Number when Multiplying Decimals by Powers of 10

How to Determine the Missing Number when Multiplying Decimals by Powers of 10

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 […]