Master Orders of Magnitude
Compare numbers in standard form, find how many times larger, and estimate the nearest power of 10.
What is an Order of Magnitude?
Powers of ten as a scale
An order of magnitude is a factor of ten. 3 × 10⁵ is one order of magnitude larger than 3 × 10⁴. Comparing exponents tells you which value is larger; the difference of exponents tells you how many times larger (as a power of 10).
Orders of Magnitude Rules
Key steps
Follow the method
An order of magnitude is a factor of ten. 3 × 10⁵ is one order of magnitude larger than 3 × 10⁴. Comparing exponents tells you which value is larger; the difference of exponents tells you how many times larger (as a power of 10).
Check your answer
Compare with the multiple-choice options and use inverse operations to verify.
Orders of Magnitude Examples
Worked examples
Basic Examples
Why Orders of Magnitude Matters
An order of magnitude is a factor of ten. 3 × 10⁵ is one order of magnitude larger than 3 × 10⁴. Comparing exponents tells you which value is larger; the difference of exponents tells you how many times larger (as a power of 10).
Applications
Used in school exams, homework, and real-world number problems.
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Orders of Magnitude Practice
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