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Orders of magnitude (area)

Orders of magnitude (area) is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Orders of magnitude (area) rather than just read about it. In short: This page is a progressive and labelled list of the SI area orders of magnitude, with certain examples appended to some list objects. 10−70 to 10−9 square metres 10−8 to 10−1 square metres 100 to 107 square metres 108 to 1014 square metres 1015 to 1026 square metres 1027 square metres and larger See also Orders of magnitude Lists of political and geographic subdivisions by total area References

Orders of magnitude (area) — main illustration
Orders of magnitude (area) — illustration

Key takeaways

  • Orders of magnitude (area) belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Orders of magnitude (area) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Orders of magnitude (area) from memory before moving on to harder problems.

Reference excerpt

This page is a progressive and labelled list of the SI area orders of magnitude, with certain examples appended to some list objects.

10−70 to 10−9 square metres

10−8 to 10−1 square metres

100 to 107 square metres

108 to 1014 square metres

1015 to 1026 square metres

1027 square metres and larger

See also Orders of magnitude Lists of political and geographic subdivisions by total area

References

Illustrations

Orders of magnitude (area): Image comparing various units: square mile (the entire yellow square), square kilometre, hectare and acre, as well as a soccer field and a Manhattan block.
Image comparing various units: square mile (the entire yellow square), square kilometre, hectare and acre, as well as a soccer field and a Manhattan block.
Orders of magnitude (area): An area of one square kilometre consists of 100 hectares each containing 10,000 square metres.
An area of one square kilometre consists of 100 hectares each containing 10,000 square metres.

Worked examples

Example 1 — a first encounter with Orders of magnitude (area)

Start with the simplest possible case. Write down what Orders of magnitude (area) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Orders of magnitude (area) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Orders of magnitude (area) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Orders of magnitude (area)

In research
Orders of magnitude (area) appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Orders of magnitude (area) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Orders of magnitude (area) is common in secondary-school and first-year university syllabi. It links to neighbouring topics Orders of magnitude, so understanding it makes those chapters shorter.
In everyday life
Look for Orders of magnitude (area) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Orders of magnitude (area) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Orders of magnitude (area) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Orders of magnitude (area) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Orders of magnitude (area) in simple terms?

This page is a progressive and labelled list of the SI area orders of magnitude, with certain examples appended to some list objects. 10−70 to 10−9 square metres 10−8 to 10−1 square metres 100 to 107 square metres 108 to 1014 square metres 1015 to 1026 square metres 1027 square metres and larger Se…

Why does Orders of magnitude (area) matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Orders of magnitude (area)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Orders of magnitude (area).

Tags

  • Orders of magnitude

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