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shaw.thomas33 2d ago • 0 views

Free Online Practice: Estimate Decimal Quotients with Compatible Numbers

Hey everyone! 👋 Learning how to estimate decimal quotients with compatible numbers can seem tricky, but it's actually a super useful skill for everyday life. This worksheet will help you practice and get better at it. Let's dive in! 🧮
🧮 Mathematics

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Dean_Winchester Jan 1, 2026

📚 Topic Summary

Estimating decimal quotients using compatible numbers involves rounding the divisor and dividend to numbers that are easy to divide mentally. Compatible numbers are close to the original numbers but make the division simpler. This technique helps you find an approximate answer quickly without needing a calculator. This is super handy for checking if your calculator answer makes sense or for quick mental math!

For example, to estimate $15.8 \div 3.9$, we can round $15.8$ to $16$ and $3.9$ to $4$. Then, $16 \div 4 = 4$, so our estimate is 4.

🔤 Part A: Vocabulary

Match the term with its definition:

Term Definition
1. Quotient A. Numbers that are easy to divide mentally
2. Dividend B. The number being divided
3. Divisor C. The answer to a division problem
4. Estimate D. The number dividing the dividend
5. Compatible Numbers E. An approximate value or calculation

Match the letters A-E to the numbers 1-5 based on the correct definitions.

✍️ Part B: Fill in the Blanks

Complete the following paragraph using the words: compatible, dividend, divisor, quotient, estimate.

To ______ decimal quotients, we use ______ numbers. We round the ______ and ______ to make the division easier. The result is an approximate ______, which gives us a quick idea of the answer.

🤔 Part C: Critical Thinking

Explain how using compatible numbers can be helpful in real-life situations. Give an example.

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