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To solve this problem, let's follow a simple approach using the decimal shifting rule:
Now, moving the decimal point one place to the left converts 23.1 to 2.31.
Therefore, the solution to the problem is , which corresponds to choice
\( \text{0}.07\times10= \)
Always move the decimal point one place to the LEFT when dividing by 10. Think of it this way: division makes numbers smaller, so the decimal moves toward the smaller place values.
Add zeros as placeholders! For example, . The zero helps show the decimal moved left from the ones place to the tenths place.
Multiplication and division are opposite operations! Multiplying by 10 moves the decimal right (makes bigger), dividing by 10 moves it left (makes smaller).
Our number system is based on powers of 10. Each decimal place represents 10 times the place to its right, so dividing by 10 shifts everything one place over.
Follow the same pattern! Dividing by 100 moves decimal two places left, dividing by 1000 moves it three places left. Count the zeros in the divisor!
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