Biology & Life Sciences
Basic

Microscope Magnification

How much larger an image appears than the object.

Formula

M=image sizeactual sizeM = \frac{\text{image size}}{\text{actual size}}

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Variables

Example

10× × 40× = 400× total

How it works

Microscope magnification tells you how many times bigger an image is than the real object. It works by comparing the measured size of the image you see on the page or screen to the object's actual size, using the same units for both so the ratio is meaningful. A larger magnification means the image has been enlarged more, not that more detail is automatically present.

When to use it

Use this formula when you need to find the magnification of a microscope image, such as in a biology lab, exam question, or when checking whether a specimen drawing is drawn to scale. It is also useful when one value is missing and you need to rearrange the formula to find actual size or image size.

Worked example, step by step

Image size = 24 mm Actual size = 0.06 mm M = image size ÷ actual size M = 24 ÷ 0.06 M = 400 Final answer: the magnification is 400×

Common mistakes to avoid

  • Using different units for image size and actual size
  • Dividing actual size by image size instead of image size by actual size
  • Forgetting that magnification is a ratio, so the answer has no unit

Did You Know?

The compound microscope, invented around 1600, revealed a hidden world of cells and microbes for the first time.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026