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Decimal Division Partial Products

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Decimal Division Partial Products worksheet preview

Decimal Division Partial Products

Student solving decimal division problems

📊 Part 1: Anchor Chart - How to Divide Decimals Using Partial Products

Step 1: Set up the problem and identify place values

Step 2: Break the dividend into parts based on place value

Step 3: Divide each part separately

Step 4: Add all partial quotients together

Example: 4.68 ÷ 1.2

Step 1: Think of it as 468 ÷ 12 (multiply both by 10)

Step 2: Break down 468 = 360 + 108

Step 3: 360 ÷ 12 = 30 and 108 ÷ 12 = 9

Step 4: 30 + 9 = 39, so 4.68 ÷ 1.2 = 3.9

1. Following the example above, what is the first step when dividing 3.84 ÷ 1.6?

Break 3.84 into parts

Think of it as 384 ÷ 16

Add the numbers together

Multiply by 100

🛍️ Part 2: Real-World Decimal Division Problems

2. Maya bought 2.4 pounds of apples for $3.36. How much did she pay per pound?

Set up: $3.36 ÷ 2.4 = ___________

3. A recipe calls for 6.75 cups of flour to make 2.5 batches of cookies. How many cups of flour are needed for one batch?

Set up: 6.75 ÷ 2.5 = ___________

4. Tom ran 8.64 miles in 1.8 hours. What was his average speed in miles per hour?

4.8 miles per hour

4.2 miles per hour

5.1 miles per hour

3.6 miles per hour

5. Show your work for problem 4 using partial products:

🎯 Part 3: Practice with Partial Products

6. Solve 7.56 ÷ 1.8 using partial products. Show each step clearly:
7. A garden hose is 15.75 feet long and needs to be cut into pieces that are 1.25 feet each. How many pieces will there be?

Division problem: _________ ÷ _________ = _________

8. Circle the problems below that equal 2.4:

9.6 ÷ 4.0

7.2 ÷ 3.0

4.8 ÷ 2.0

12.0 ÷ 5.0

9. Explain in your own words how partial products help you divide decimals:

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