Class 11 Physics Units and Measurements Rules for Arithmetic operation with Significant Figures

Rules for Arithmetic operation with Significant Figures

Type

Multiplication or Division

Addition or Subtraction

Rule

The final result should retain as many significant figures as there in the original number with the lowest number of significant digits.

The final result should retain as many decimal places as there in the original number with the least decimal places.

Example

Density = Mass / Volume

 

if mass = 4.237 g (4 significant figures) and Volume = 2.51 cm3 (3 significant figures)

 

Density = 4.237 g/2.51 cm3 = 1.68804 g cm-3 = 1.69 g cm-3 (3 significant figures)

Addition of

436.32 (2 digits after decimal),

227.2 (1 digit after decimal) &  .301 (3 digits after decimal) is

= 663.821

 

Since 227.2 is precise up to only 1 decimal place, Hence, the final result should be 663.8

 

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