📚 Topic Summary
Dividing decimals by powers of ten (like 10, 100, 1000, etc.) is a fundamental skill in mathematics. It's all about shifting the decimal point to the left. When you divide by 10, you move the decimal one place to the left; by 100, two places; by 1000, three places, and so on. If you run out of digits to the left of the decimal, simply add zeros as needed. This makes calculations faster and easier than using long division.
For example, $15.75 \div 10 = 1.575$. And, $15.75 \div 100 = 0.1575$. Practice is key to mastering this technique!
🔤 Part A: Vocabulary
Match the term with its correct definition:
| Term |
Definition |
| 1. Decimal |
A. A number multiplied by itself. |
| 2. Power of Ten |
B. The result of division. |
| 3. Quotient |
C. A number based on 10 (e.g., 10, 100, 1000). |
| 4. Place Value |
D. A number that contains a decimal point. |
| 5. Square |
E. The value of a digit based on its position in a number. |
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words: left, decimal, powers, ten, zeros.
When dividing by _______ of _______, we move the _______ point to the _______. If necessary, we add _______ to hold the place.
🤔 Part C: Critical Thinking
Explain why moving the decimal point to the left when dividing by powers of ten works. Use an example in your explanation.
