T

Tonnes & Choosing a Unit

Maths · Stage 2 Extension
Year 4
★ Extension · Stage 3 (Years 5–6)
Lesson Guide
Explanation
You can weigh a truck in kilograms and get 8000. It is correct and it is clumsy, in exactly the way measuring a road trip in metres was clumsy. So for very heavy things there is a bigger unit: the tonne, which is 1000 kilograms. The truck becomes 8 tonnes. Notice the pattern you already know continuing: 1000 grams make a kilogram, and 1000 kilograms make a tonne. Every step up the ladder is a thousand.
Your Turn
How many kilograms in 3 tonnes? Check: 3000 kg.
Watch Out
A tonne is 1000 kilograms, not 100. The same thousand as in kilogram and kilometre.
Explanation
Here is the full ladder. Grams are for small things: a paperclip, a grape, a teaspoon of sugar. Kilograms are for everyday things: a bag of flour, your school bag, a cat. Tonnes are for the very heavy: a car, a truck, a whale. Each step up is a thousand times bigger, so a tonne is a million grams — which is exactly why nobody weighs a truck in grams.
Your Turn
Which unit for: an apple, a person, a bus? Check: grams, kilograms, tonnes.
Watch Out
The gaps are huge. A kilogram is not a bit heavier than a gram; it is a thousand times heavier.
Explanation
Converting works exactly as it did for kilometres. Going down the ladder to a smaller unit, multiply by 1000: 4 tonnes is 4000 kilograms, and 2 kilograms is 2000 grams. Going up to a bigger unit, divide by 1000: 5000 kilograms is 5 tonnes, and 3500 grams is 3.5 kilograms. Use the same sanity check every time — a smaller unit must give a bigger number, because it takes more small things to make the same weight.
Your Turn
Convert 6 kg to grams, and 2500 kg to tonnes. Check: 6000 g and 2.5 t.
Watch Out
Multiplying when you should divide is the usual error. Ask which way the number should move BEFORE you calculate.
Explanation
Sometimes you need to jump two rungs, from grams all the way to tonnes. Do it one rung at a time rather than trying to leap. Two and a half million grams divided by 1000 gives 2500 kilograms, and dividing again by 1000 gives 2.5 tonnes. Students who try to do it in one go often divide by 2000 by mistake, which is wrong — it is two separate thousands, so two separate steps.
Your Turn
Convert 4,000,000 grams to tonnes, one rung at a time. Check: 4000 kg, then 4 tonnes.
Watch Out
Two rungs means dividing by 1000 twice, which is dividing by a million overall — not by 2000.
Explanation
A humpback whale weighs 30,000,000 grams, or 30000 kilograms, or 30 tonnes. All three are exactly the same weight and all three are correct — but only one of them is any use to a person. The rule is the one you met with kilometres: pick the unit that keeps the number small and sensible, usually somewhere between 1 and 1000. Choosing well is part of answering the question properly, not an optional extra at the end.
Your Turn
Pick the best unit and give the weight: a slice of bread, a bag of cement, a car. Check: about 30 g, 20 kg, and 1.5 t.
Watch Out
In a test, an answer with a silly unit can lose the mark even when the number is right. Convert before you write it down.
📌 Key Points — this lesson in a nutshell
  • 1000 g = 1 kg and 1000 kg = 1 tonne. Every step is a thousand.
  • Down the ladder to a smaller unit: × 1000. Up: ÷ 1000.
  • Smaller unit → bigger number. Use that to check yourself.
  • Grams to tonnes is two steps, not one.
  • Choose the unit that keeps the number small and sensible.
Step 1: Introduction
Step 1 of 5
How heavy is a truck? In kilograms 8000 kg correct, but clumsy In tonnes 8 t easy to say and picture 1 tonne = 1000 kilograms You already know the pattern: 1000 grams make a kilogram, and 1000 kilograms make a tonne. Every step up is a thousand.
Gram, kilogram, tonne gram a paperclip, a grape, a teaspoon of sugar the smallest unit you will use × 1000 ↓ kilogram a bag of flour, a school bag, a cat 1000 grams × 1000 ↓ tonne a car, a truck, a whale, a shipping container 1000 kilograms, or a million grams Three units, each a thousand times the last.
× 1000 down the ladder, ÷ 1000 up Going DOWN (smaller unit) × 1000 4 t = 4000 kg 2 kg = 2000 g Going UP (bigger unit) ÷ 1000 5000 kg = 5 t 3500 g = 3.5 kg The same check as with distance: smaller unit → bigger number bigger unit → smaller number If 2 kg came out as 0.002 g, you went the wrong way.
Grams to tonnes is two rungs g kg t ÷ 1000 ÷ 1000 2,500,000 g → 2500 kg → 2.5 t Do it one rung at a time. Grams to tonnes is two divisions by 1000, not one division by 2000. Two rungs of the ladder, two steps.
The same whale, four ways 🐋 30,000,000 g — technically true, unreadable 30000 kg — true, still a mouthful 30 t — true, and you can picture it All three are the same weight. Choosing the unit well is part of getting the answer right, not an extra step afterwards.
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