Introduction to Adding Significant Figures
The number of figures required to specify a certain measurement are called significant figures. The last figure of a measurement is always doubtful, but it is included in the number of significant figures.
eg If the length of a pencil measured by vernier calipers is 9.48 cm, the number of significant figures in the measurement is 3.
Following points may be kept in mind while calculating the significant figures.
a) All the non- zero digits are significant.
b) The number of significant figures in a equal to the number of digit counted from the first non- zero digit on the left to the last digit on the right. In a number 12.6, there are three significant figures.
c) All the zeroes occurring between two non- zero digit are significant. In a number 12.006, there are five significant numbers.
d) All zeroes lying in between a decimal point and the first non- zero digit on its right side are not significant. A number 0.00126 has three significant figures.
e) All zero appearing after the non- zero digit on right side of a decimal point are significant. A number 126.00 has five significant figures.
f) Where there is no decimal, final zeroes are not significant. A number 12600 has three significant figures.
g) The last digit in the significant figures of a number is its uncertain digit. In a number 12.6, 6 is the uncertain digit.
Significant Figure in Algebric Operation such as Addition Multiplication Etc.
While compounding a number of measurements, it will be observed that all of them have not been measured to the same degree of accuracy. Lacking in accuracy in one of them is going to affect the accuracy of final result. Following rule is observed in computing the calculations.
The result of compounding ( adding or subtracting or multiply or dividing ) two or more number can have no more significant digit than are present in the least precise of the number from which it was calculated.
The number of figures required to specify a certain measurement are called significant figures. The last figure of a measurement is always doubtful, but it is included in the number of significant figures.
eg If the length of a pencil measured by vernier calipers is 9.48 cm, the number of significant figures in the measurement is 3.
Following points may be kept in mind while calculating the significant figures.
a) All the non- zero digits are significant.
b) The number of significant figures in a equal to the number of digit counted from the first non- zero digit on the left to the last digit on the right. In a number 12.6, there are three significant figures.
c) All the zeroes occurring between two non- zero digit are significant. In a number 12.006, there are five significant numbers.
d) All zeroes lying in between a decimal point and the first non- zero digit on its right side are not significant. A number 0.00126 has three significant figures.
e) All zero appearing after the non- zero digit on right side of a decimal point are significant. A number 126.00 has five significant figures.
f) Where there is no decimal, final zeroes are not significant. A number 12600 has three significant figures.
g) The last digit in the significant figures of a number is its uncertain digit. In a number 12.6, 6 is the uncertain digit.
Significant Figure in Algebric Operation such as Addition Multiplication Etc.
While compounding a number of measurements, it will be observed that all of them have not been measured to the same degree of accuracy. Lacking in accuracy in one of them is going to affect the accuracy of final result. Following rule is observed in computing the calculations.
The result of compounding ( adding or subtracting or multiply or dividing ) two or more number can have no more significant digit than are present in the least precise of the number from which it was calculated.
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