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To solve the problem , we recognize that multiplying a decimal number by 10 involves shifting the decimal point one place to the right.
Let's work through the steps:
The decimal point's new position results in the number , representing the product of the original number and 10.
The solution to the problem is .
\( \text{0}.07\times10= \)
Multiplying by 10 makes each digit ten times larger, which moves it one place value to the left. The decimal point appears to move right, but really the digits are shifting left!
Every whole number has an invisible decimal point at the end. For example, 7 is really 7.0, so or just 70.
Yes! For 100, move the decimal point two places right. For 1000, move it three places right. The number of zeros equals the number of places to move.
Sometimes you'll need to add zeros! For example, becomes 30.0 (or just 30) because you move two places right and add a zero.
Think: multiplying makes numbers bigger, so the decimal moves right. Dividing makes numbers smaller, so it moves left!
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