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Understanding Order of Magnitude Calculations

May 27, 2025

Notes on Order of Magnitude from Free Science Lessons

Introduction

  • Objective: Understand and calculate the order of magnitude.
  • Use order of magnitude to compare approximate sizes of objects.

Definition of Order of Magnitude

  • Order of magnitude is used when comparing the approximate size of different objects.
  • Example: An apple and an orange are around the same size, so they are around the same order of magnitude.

Calculating Order of Magnitude

  • If one object is 10 times larger than another, it is one order of magnitude larger.
  • Example:
    • Pineapple vs. Lemon: Pineapple is about 10 times larger than a lemon, equating to one order of magnitude larger.
    • Dog vs. Woodlouse: Dog is about 100 times longer than a woodlouse, which is two orders of magnitude.

Key Concept

  • Each order of magnitude is 10 times greater than the previous one.
  • Method: Count the number of zeros to determine the order of magnitude.
    • 10 times = 1 zero = 1 order of magnitude.
    • 100 times = 2 zeros = 2 orders of magnitude.
    • 1000 times = 3 zeros = 3 orders of magnitude.

Practical Example

  • Problem: A fox is around 40 cm long, while a tick on the fox is around 0.4 cm long.
  • Solution:
    • Divide 40 by 0.4 = 100 times longer.
    • Count zeros: 2 zeros = 2 orders of magnitude.

Practice Resources

  • More practice questions available in the workbook.
  • Workbook can be accessed via provided link.

Conclusion

  • After understanding, you should be able to describe and perform calculations related to the order of magnitude.