Rounding significant figures calculator is a device used to round the decimals to significant figures decimal places. Some problems involves remainder that the decimal values after the decimal point moves to infinity. Here we need to shorten our answer to two or three significant figures, for that we need rounding significant figures. For rounding significant figures certain rules to be followed. In this article let us see about rounding significant figures calculator.
Rounding significant figures calculator involve 2 rules to remember:
Rule One: See what is our rounding digit is asked to do and see the right side of number of digits the rounding of significant figures asked for. If that digit are less than 5, simply leave all digits to the right of it.
Rule Two: See what is our rounding digit is asked to do then see what the right side of number of digits the rounding of significant figures asked for. If that digit is 5 or greater than 5, add one to the rounding digit and drop all digits to the right of it.
Rounding significant figures calculator:
Function of rounding significant figures calculator:
In the above rounding significant figures calculator, enter the problem which is to be rounded in the box of the number. Here taken example 3.14159
Then enter the number of significant figures we want to round by pressing the arrow key. Here taken 3 significant digits.
The result will be shown on the result box. The result for the example problem is 3.14
If we change the number and significant figures then the result will be changed according to the problem.
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Example 1:
Consider our answer is 47.68472195 but we are asked to give a shorter answer – correct to 2 significant figures. Here the result have 8 figures following the decimal point.
our ‘cut-off point’ comes after the ‘8’ 47.68 | 472195
This number is more than 47.68, but less than 47.69. Which is it closer to?
Look at the 3rd number after decimal point, that is number after that ‘cut-off point’.
If the number is 0,1,2,3, or 4 round DOWN to 47.68
If the number is 5,6,7,8, or 9 round UP to the next number 47.69.
Ans: 47.68 to 2 significant figures.
Example 2:
Give 13.378912 correct to 3 significant figures.
Look at the FOURTH figure after the decimal point: 13.378 | 912
The figure after the ‘cut-off point’ is a ‘9’
So round the number UP.
Ans: 13.379 to 3 significant figures.
Example 3:
Give 42.378212 correct to 3 significant figures.
Look at the FOURTH figure after the significant figures: 42.378 | 212
The figure after the ‘cut-off point’ is a ‘2’
So round the number UP.
Ans: 42.378 to 3 significant figures.