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To solve this problem, we need to divide by . We can achieve this by using the following steps:
This simple operation demonstrates that when dividing by powers of ten, the decimal point moves to the left by as many places as there are zeros in the power (one zero here, for dividing by ten).
Therefore, the solution to the problem is .
\( \text{0}.07\times10= \)
Dividing by 10 makes a number ten times smaller. Moving the decimal point left reduces the place value of each digit, making the number smaller. Think of it as shrinking the number!
Move the decimal point one place left for each zero! For 100 (two zeros), move two places left. For 1000 (three zeros), move three places left.
Add zeros as placeholders! For example, if you need to move 0.5 two places left, think of it as 0.50, then move to get 0.005.
Multiplying by 10 moves the decimal right (makes numbers bigger), while dividing by 10 moves it left (makes numbers smaller). They're opposite operations!
You could, but moving the decimal point is much faster! Long division with decimals takes many steps, while the decimal-moving method gives you the answer instantly.
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