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Multiplying Fractions and Decimals

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Multiplying Fractions and Decimals

Multiplying Fractions and Decimals

Fractions and decimals illustration

🎯 Part 1: Multiplying Fractions by Whole Numbers

1. Calculate 3 × 1/4. First, estimate your answer, then solve.

My estimate: ___________

Final answer: ___________

2. Solve 4 × 2/5. Show your working.
3. Calculate 6 × 3/8. Use fraction strips or bar models to help if needed.
4. Which of these equals 5 × 2/3?

7/3

10/3

10/15

2/15

💰 Part 2: Multiplying Decimals by Whole Numbers

5. Calculate 5 × 0.3. First estimate, then use the vertical column method.

My estimate: ___________

Final answer: ___________

6. Solve 7 × 0.6 using the vertical column method.
7. Calculate 8 × 0.25. Show all your working.
8. You buy 6 packets of pencils, each costing $1.25. How much do you pay in total?

Total cost: $___________

🍰 Part 3: Real-World Problems

9. If one apple pie needs 3/4 cup of sugar, how much sugar do 5 pies need?

Estimate: ___________

Answer: ___________ cups of sugar

10. A recipe calls for 0.75 litres of milk per batch. How much milk is needed for 4 batches?

Answer: ___________ litres

11. Each student needs 2/3 metre of ribbon for an art project. How much ribbon is needed for 9 students?

Answer: ___________ metres

12. A chocolate bar weighs 0.45 kilograms. What is the total weight of 7 chocolate bars?

Answer: ___________ kilograms

🤔 Part 4: Reasoning and Estimation

13. Circle all the expressions that will give an answer less than 3:

4 × 0.6

5 × 1/2

6 × 0.8

3 × 2/3

14. Without calculating exactly, estimate which answer is closest to 4 × 3/5:

About 1

About 2

About 3

About 5

15. Explain why 6 × 0.5 = 3. Use words and/or pictures to show your reasoning.
16. Draw a diagram or model to show 3 × 1/4:

⭐ Part 5: Challenge Questions

17. Calculate 4 × 1 2/3 (mixed number). Convert to an improper fraction first.
18. A garden bed is 2.75 metres long. If you plant 3 identical garden beds end to end, what is the total length?

Total length: ___________ metres

19. Fill in the missing numbers:

_____ × 0.4 = 2.8

5 × _____ = 3.5

_____ × 2/5 = 8/5

20. Self-Assessment: Tick the success criteria you have achieved today:

I can multiply fractions by whole numbers using models and number sentences

I can multiply decimals by whole numbers using the vertical column method

I can estimate to check if my answers are reasonable

I can explain my working and reasoning

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