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Partitioning Decimal Addition

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Partitioning Decimal Addition

Partitioning Decimal Addition

Decimal place value chart illustration

🔢 Part 1: Breaking Down Decimals

1. Partition these decimal numbers into their parts. The first one is done for you.

Example: 3.4 = 3 + 0.4

a) 2.6 = _____ + _____

b) 5.23 = _____ + _____

c) 7.8 = _____ + _____

d) 4.56 = _____ + _____

e) 9.07 = _____ + _____

2. Circle the correct way to partition 6.35:

6 + 35

6 + 0.35

60 + 0.35

6 + 3 + 5

➕ Part 2: Adding Using Partitioning

3. Use the partitioning method to solve 2.3 + 1.4. Show your working:
4. Complete this partitioning addition step by step:

Problem: 4.6 + 2.25

Step 1: Partition the numbers

4.6 = _____ + _____

2.25 = _____ + _____

Step 2: Add the whole numbers: _____ + _____ = _____

Step 3: Add the decimal parts: _____ + _____ = _____

Step 4: Add the results together: _____ + _____ = _____

5. Solve these problems using partitioning. Show your working:

a) 3.7 + 2.1 = _____

b) 5.4 + 1.35 = _____

💰 Part 3: Real-Life Problems

6. Sarah bought a book for $12.50 and a pen for $3.25. Use partitioning to find the total cost.

Total cost: $ _____

7. Tom ran 2.4 kilometres on Monday and 1.75 kilometres on Tuesday. How far did he run altogether?

Total distance: _____ kilometres

8. A recipe needs 1.25 cups of flour and 0.5 cups of sugar. What is the total amount of dry ingredients?

Total dry ingredients: _____ cups

🎯 Part 4: Estimation and Checking

9. Before solving, estimate whether each answer will be greater or less than 10. Then solve using partitioning.

a) 4.6 + 3.8

My estimate: Greater than 10 / Less than 10 (circle one)

Actual answer: _____

b) 2.7 + 5.9

My estimate: Greater than 10 / Less than 10 (circle one)

Actual answer: _____

10. Check all the strategies that help when adding decimals using partitioning:

Breaking numbers into whole and decimal parts

Adding each part separately

Ignoring place value

Estimating first to check if the answer makes sense

Using place value knowledge

🤔 Part 5: Reflection

11. Explain in your own words how partitioning helps you add decimals:
12. What was the most challenging part of today's work?
13. Rate your confidence with partitioning decimal addition:

Very confident - I can teach someone else!

Confident - I understand the method

Getting there - I need a bit more practice

Not confident - I need more help

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