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Decimal Partitioning Scenarios

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Decimal Partitioning Scenarios

Decimal partitioning illustration

🏃‍♂️ Part 1: Sports & Timing Scenarios

1. Sarah ran the 100m sprint in 12.458 seconds. Partition this decimal time and write an addition number sentence.

Partition: 12.458 = _____ + _____ + _____ + _____

Addition sentence: ________________________________

2. The long jump record is 8.637 metres. Show how to partition this distance.

Partition: 8.637 = _____ + _____ + _____ + _____

Place value breakdown:

_____ ones + _____ tenths + _____ hundredths + _____ thousandths

3. A swimmer's time was 1 minute and 23.764 seconds. Write this as a decimal (23.764 seconds) and partition it.

Partition: 23.764 = _____ + _____ + _____ + _____

💰 Part 2: Money & Shopping Scenarios

4. Emma spent $47.85 at the shops. Partition this amount and create a subtraction number sentence if she started with $50.00.

Partition $47.85: $_____ + $_____ + $_____

Subtraction sentence: $50.00 - ($_____ + $_____ + $_____) = $_____

5. A chocolate bar costs $3.275 (if we could pay to the nearest thousandth). Show two different ways to partition this price.

Method 1: $3.275 = $_____ + $_____ + $_____ + $_____

Method 2: $3.275 = $_____ + $_____

6. Jake saved $156.42 over three months. Partition this amount and estimate if it's closer to $150 or $160.

Partition: $156.42 = $_____ + $_____ + $_____ + $_____

Estimation: $156.42 is closer to $_______ because ________________

📏 Part 3: Measurement Scenarios

7. A recipe calls for 2.375 kilograms of flour. Partition this weight and write it as an addition sentence.

Partition: 2.375 kg = _____ kg + _____ kg + _____ kg + _____ kg

Addition sentence: ________________________________

8. The distance between two cities is 284.6 kilometres. Show how to partition this distance and estimate the total to check your work.

Partition: 284.6 km = _____ km + _____ km + _____ km

Estimation check: 284.6 km ≈ _____ km (rounded to nearest 10)

9. Challenge: Create your own decimal partitioning scenario using temperature. Use a decimal with at least 3 decimal places.

My scenario:

Partition your decimal: _____ = _____ + _____ + _____ + _____

10. Error Detective: Find and correct the mistake in this partitioning.

Incorrect: 15.724 = 15 + 0.07 + 0.2 + 0.004

Correct partition: 15.724 = _____ + _____ + _____ + _____

What was the mistake? ________________________________

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