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in Physics by (71.1k points)

What are the rule in Rounding Off ? Give an examples?

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(1) If the digit to be dropped is less than 5, then the preceding digit is left unchanged. 

Example : x = 7.82 is rounded off to 7.8, again x = 3.94 rounded off to 3.9. 

(2) If the digit to be dropped is more than 5, then the preceding digit is raised by one. 

Example : x = 6.87 is rounded off to 6.9, again x = 12.78 is rounded off to 12.8. 

(3) If the digit to be dropped is 5 followed by digits other than zero, then the preceding digit is raised by one. 

Example : x = 16.351 is rounded off to 16.4, again x = 6.758 is rounded off to 6.8. 

(4) If digit to be dropped is 5 or 5 followed by zeros, then preceding digit is left unchanged, if it is even. 

Example : x = 3.250 becomes 3.2 on rounding off, again x = 12.650 becomes 12.6 on rounding off. 

(5) If digit to be dropped is 5 or 5 followed by zeros, then the preceding digit is raised by one, if it is odd. 

Example : x = 3.750 is rounded off to 3.8, again x = 16.150 is rounded off to 16.2.

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