Dividing decimals by powers of 10 (like 10, 100, 1000) is a fundamental math skill. It's all about moving the decimal point! When you divide by a power of 10, the decimal point shifts to the left. The number of places you move the decimal is equal to the number of zeros in the power of 10. For instance, dividing by 10 moves the decimal one place to the left, dividing by 100 moves it two places, and so on.
This concept simplifies calculations and is used everywhere from converting units to understanding financial data. Let's practice!
Match the term with its definition:
| Term | Definition |
|---|---|
| 1. Decimal | a. A number multiplied by itself. |
| 2. Power of 10 | b. To separate into equal groups. |
| 3. Divide | c. A number expressed in base 10 using a decimal point. |
| 4. Shift | d. A number that can be written as $10^n$, where $n$ is a positive integer. |
| 5. Exponent | e. To move something from one position to another. |
(Answers: 1-c, 2-d, 3-b, 4-e, 5-a)
When dividing a decimal by 100, the decimal point moves ______ places to the ______. Dividing by 1000 moves the decimal point ______ places to the ______. This is because 100 and 1000 are ______ of 10.
(Answers: two, left, three, left, powers)
Explain how dividing 3.14 by 100 is similar to, and different from, dividing 314 by 100.
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