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Mass Conversion Inverse Operations

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Mass Conversion Inverse Operations

A freight team is checking masses before a train leaves. Use 1 tonne = 1,000 kilograms. Show how multiplication and division undo each other. Read each question carefully and include units in your answers.

Check the loading labels

Use the tonne–kilogram conversion fact to solve each task.

1.A grain wagon holds 4 tonnes. How many kilograms is that? Choose the correct answer.
  • 40 kg
  • 400 kg
  • 4,000 kg
  • 40,000 kg
2.A timber load weighs 7,000 kg. Complete the conversion: 7,000 ÷ 1,000 = tonnes.
3.Which load is heavier: 3 tonnes of gravel or 2,800 kg of sand? Write both masses in kilograms, then compare them.

Use the inverse-operation turn-around

Multiplication and division are inverse operations: if 6 × 1,000 = 6,000, then 6,000 ÷ 1,000 = 6 and 6,000 ÷ 6 = 1,000.

4.Complete the fact family for a wagon carrying 8 tonnes: 8 × 1,000 = kg; kg ÷ 1,000 = 8 tonnes; kg ÷ 8 = 1,000 kg.
5.A load weighs 9,000 kg. Which calculation converts it to tonnes? Choose one.
  • 9,000 × 1,000
  • 9,000 ÷ 1,000
  • 1,000 ÷ 9,000
  • 9,000 + 1,000
6.Fill the missing numbers: × 1,000 = 12,000 kg; 5,000 kg ÷ = 5 tonnes; 6 tonnes = kg.
7.Mark each statement true or false: A) 2 tonnes = 200 kg. B) 5,000 kg = 5 tonnes. C) 1 tonne = 1,000 kg.
TrueFalse

Freight-yard challenges

Work out each load carefully. Remember to convert before adding or sharing masses.

8.Three identical gravel skips each weigh 900 kg. What is their total mass in tonnes? Show the multiplication and conversion.
9.A depot has 15 tonnes of grain to share equally among 5 wagons. How many kilograms of grain go in each wagon? Show one way to solve it.
10.A wildlife rescue centre is moving 3 adult wombats. Each has a mass of 30 kg. Their transport crates each have a mass of 12 kg. What is the total mass of the three wombats and three crates? Give your answer in kilograms.
11.Explain how division checks the conversion 6 tonnes = 6,000 kg. Include the number you divide by and what your answer should be.

2 printable pages

  • Australian freight train scene introducing tonnes, kilograms and mass conversion.

    Page 1

  • Freight-yard questions practise converting tonnes and kilograms using inverse operations.

    Page 2

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