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Grade 5 Math Lab: The Bridge to Algebra FREE
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Decimal Division & Fair Sharing
Learning Objectives
- Divide whole numbers with decimal quotients
- Understand division as fair sharing
- Convert remainders to decimals
- Apply decimal division to money problems
Key Concepts
Quotient
The result of division - how much each group gets
Decimal Quotient
When division doesn't come out even, we extend into decimals
Regrouping
Trading larger units for smaller ones (dollars → dimes → pennies)
Theory
When dividing, if there's a remainder, we can continue dividing by adding decimal places. Think of it as making change!
**The Money Model:**
- $1.00 = 10 dimes = 100 pennies
- When you can't divide dollars evenly, exchange for dimes
- When you can't divide dimes evenly, exchange for pennies
**Example: $3 ÷ 4 friends**
1. $3 ÷ 4 = 0 dollars each (can't give a full dollar to each)
2. Exchange $3 for 30 dimes → 30 ÷ 4 = 7 dimes each, 2 left over
3. Exchange 2 dimes for 20 pennies → 20 ÷ 4 = 5 pennies each
4. Answer: $0.75 each (7 dimes + 5 pennies)
**Algorithm:**
1. Divide normally until you get a remainder
2. Add a decimal point and bring down zeros
3. Continue dividing
Examples
$5 ÷ 4 people
Solution: $1.25 each (5.00 ÷ 4 = 1.25)
7 ÷ 8
Solution: 0.875 (keep dividing: 70÷8=8r6, 60÷8=7r4, 40÷8=5)
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Knowledge Check
Test your understanding of Fair Share Exchange!