Grade 4 · Combine metres with extra centimetres · 41 of 750
Combine metres with extra centimetres: whole metres: 9; extra centimetres: 6
A measurement for a classroom activity consists of 9 whole metres and 6 extra centimetres. Find the full measurement in centimetres, explain the calculation, and check a related question.
Try the question, use a hint when you need one, and compare your reasoning with the worked solution. The animation starts with this chapter’s values; changing its controls explores a new case.
01 · Make a prediction
Your practice question
A measurement for a classroom activity consists of 9 whole metres and 6 extra centimetres. First find the full measurement in centimetres. Then answer: What is the measurement entirely in centimetres?
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A starting point
One of the larger units contains 100 of the smaller units. Convert the whole-unit part first, then add the extra part in the same unit; do not add differently sized units as if they were identical.
Work through the reasoning
Step 1
Identify the quantities and the task
A measurement for a classroom activity consists of 9 whole metres and 6 extra centimetres. The first task is to find the full measurement in centimetres. One of the larger units contains 100 of the smaller units. Convert the whole-unit part first, then add the extra part in the same unit; do not add differently sized units as if they were identical.
Step 2
Calculate the original result
9 × 100 + 6 = 906 centimetres. The total is 906 centimetres, or 9.06 metres. Both names refer to the same measurement.
Step 3
Complete the follow-up calculation
What is the measurement entirely in centimetres? 906 centimetres: 900 from the whole metres, plus 6 extra.
The answer
9 × 100 + 6 = 906 centimetres. The total is 906 centimetres, or 9.06 metres. Both names refer to the same measurement. Follow-up: 906 centimetres: 900 from the whole metres, plus 6 extra.
Compare the method as well as the result. A different valid method may reach the same answer. Keep exact values until the last step when the question asks for rounding.
02 · Explore the model
See the mathematical relationship move.
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Watch the relationship
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The mathematical idea
A measurement for a classroom activity consists of 9 whole metres and 6 extra centimetres. One of the larger units contains 100 of the smaller units. Convert the whole-unit part first, then add the extra part in the same unit; do not add differently sized units as if they were identical. The total is 906 centimetres, or 9.06 metres. Both names refer to the same measurement.
9 × 100 + 6 = 906 centimetres
03 · Reflect and transfer
Explain what changes and why.
Follow the conversion from the larger-unit part to its smaller-unit equivalent, then combine the extra smaller units. Explain which quantity changes and which relationship stays valid. Use the starting values again before checking your written answer.
This is a distinct guided scenario using a reusable mathematical model. Similar-looking diagrams can represent different given values and conclusions; they are not different mathematical theories.