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Decimal Multiplication Patterns
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Decimal Multiplication Patterns
📊 Part 1: Multiplying by Powers of 10
1. When you multiply a decimal by 10, what happens to the decimal point?
It moves one place to the left
It moves one place to the right
It stays in the same place
2. Calculate: 3.45 × 10 = __________
3. Calculate: 0.82 × 100 = __________
4. Calculate: 5.67 × 1,000 = __________
5. Which pattern do you notice when multiplying decimals by powers of 10?
The decimal point moves right based on the number of zeros
The decimal point moves left based on the number of zeros
The digits change but the decimal point stays the same
🎯 Part 2: Rounding to Estimate Products
6. Round 4.7 to the nearest whole number: __________
7. Use rounding to estimate: 4.7 × 3
Step 1: Round 4.7 to __________ Step 2: Multiply __________ × 3 = __________
8. Round 6.84 to the nearest tenth: __________
9. Which estimate is most reasonable for 7.3 × 5?
About 30
About 35
About 40
📝 Part 3: Word Problems & Explanation
10. Maria has $2.35. If she gets 10 times that amount for her birthday, how much money will she have?
Answer: $ __________
11. A recipe calls for 0.75 cups of sugar. If you want to make 100 batches, estimate how many cups of sugar you'll need by rounding first.
Estimate: __________ cups
12. Explain in your own words: Why does the decimal point move to the right when you multiply by powers of 10?
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