Significant Figures
s for Finding
digits are significant figures, e.g. 4362m
All non-zeros has.4
1
figures significant
All zeros occuring between non-zero digits are significantfigures,
2.
1005 has 4significant
figures eg
Allzerostotheright ofthe last non-zero digits are not significant,
3.
6250 has only 3significant figures. ,e.g
a digit lessthan one, all|zeros to the right of the decimal point
point and to
4. In
non-zero digit are not significant, e.g. 0.00325 has
the left of a only 3
significant figures.
All 7er0s to the right of a non-zero digit in the decimal part ars
5.
significant, e.g. 1.4750 has 5 significant figures.
Significant Figures in Algebraic Operations
(O In addition or Subtraction:Inaddition or subtraction of the numerical
Values the final result should retain the least decimal place as in the
various numerical values,
(i) In Multiplication or Division: In multiplication or division of the
numerical values, the final result should retain the least significant
fiqures as the various numerical values.
Rules of Rounding off Significant Figures
1. Ifthe digit to be dropped is less than 5, then the preceding digit is left
unchanged. e.g. 1.54 is rounded off to 1.5
2. If the digit to be dropped is greater than 5, then the preceding digit is
raised by one. e.g. 2.49 is rounded off to 2.5
3. If the digit to be dropped is 5 followed by digit other than zero, then the
preceding digit is raised by one. e.g. 3.55 is rounded off to 3.6
4. If the digit to be dropped is 5 or 5 followed by zeros, then the preceding
digit is raised by one, if it is odd and left unchanged if it is even. e.g.
3.750 isrounded off to 3.8 and 4.650is rounded off to 4.6
s for Finding
digits are significant figures, e.g. 4362m
All non-zeros has.4
1
figures significant
All zeros occuring between non-zero digits are significantfigures,
2.
1005 has 4significant
figures eg
Allzerostotheright ofthe last non-zero digits are not significant,
3.
6250 has only 3significant figures. ,e.g
a digit lessthan one, all|zeros to the right of the decimal point
point and to
4. In
non-zero digit are not significant, e.g. 0.00325 has
the left of a only 3
significant figures.
All 7er0s to the right of a non-zero digit in the decimal part ars
5.
significant, e.g. 1.4750 has 5 significant figures.
Significant Figures in Algebraic Operations
(O In addition or Subtraction:Inaddition or subtraction of the numerical
Values the final result should retain the least decimal place as in the
various numerical values,
(i) In Multiplication or Division: In multiplication or division of the
numerical values, the final result should retain the least significant
fiqures as the various numerical values.
Rules of Rounding off Significant Figures
1. Ifthe digit to be dropped is less than 5, then the preceding digit is left
unchanged. e.g. 1.54 is rounded off to 1.5
2. If the digit to be dropped is greater than 5, then the preceding digit is
raised by one. e.g. 2.49 is rounded off to 2.5
3. If the digit to be dropped is 5 followed by digit other than zero, then the
preceding digit is raised by one. e.g. 3.55 is rounded off to 3.6
4. If the digit to be dropped is 5 or 5 followed by zeros, then the preceding
digit is raised by one, if it is odd and left unchanged if it is even. e.g.
3.750 isrounded off to 3.8 and 4.650is rounded off to 4.6
