Significant Figures Calculator

Enter Number:
Round Number to:

Answer: 67.46

Various examples of rounding

NumberPrecision (decimal places)Final value
0.111111 integer (0) = 0
0.111111 to tenths (1) = 0.1
0.111111 to hundredths (2) = 0.11
0.111111 to thousandths (3) = 0.111
0.123456 integer (0) = 0
0.123456 to tenths (1) = 0.1
0.123456 to hundredths (2) = 0.12
0.123456 to thousandths (3) = 0.123
0.555555 integer (0) = 1
0.555555 to tenths (1) = 0.6
0.555555 to hundredths (2) = 0.56
0.555555 to thousandths (3) = 0.556
0.999999 integer (0) = 1
0.999999 to tenths (1) = 1
0.999999 to hundredths (2) = 1
0.999999 to thousandths (3) = 1
111.1111 integer (0) = 111
111.1111 to tenths (1) = 111.1
111.1111 to hundredths (2) = 111.11
111.1111 to thousandths (3) = 111.111
123.4567 integer (0) = 123
123.4567 to tenths (1) = 123.5
123.4567 to hundredths (2) = 123.46
123.4567 to thousandths (3) = 123.457
444.4444 integer (0) = 444
444.4444 to tenths (1) = 444.4
444.4444 to hundredths (2) = 444.44
444.4444 to thousandths (3) = 444.444
555.5555 integer (0) = 556
555.5555 to tenths (1) = 555.6
555.5555 to hundredths (2) = 555.56
555.5555 to thousandths (3) = 555.556
999.9999 integer (0) = 1000
999.9999 to tenths (1) = 1000
999.9999 to hundredths (2) = 1000
999.9999 to thousandths (3) = 1000
-0.111111 integer (0) = 0
-0.111111 to tenths (1) = -0.1
-0.111111 to hundredths (2) = -0.11
-0.111111 to thousandths (3) = -0.111
-0.123456 integer (0) = 0
-0.123456 to tenths (1) = -0.1
-0.123456 to hundredths (2) = -0.12
-0.123456 to thousandths (3) = -0.123
-0.555555 integer (0) = -1
-0.555555 to tenths (1) = -0.6
-0.555555 to hundredths (2) = -0.56
-0.555555 to thousandths (3) = -0.556
-0.999999 integer (0) = -1
-0.999999 to tenths (1) = -1
-0.999999 to hundredths (2) = -1
-0.999999 to thousandths (3) = -1
-111.1111 integer (0) = -111
-111.1111 to tenths (1) = -111.1
-111.1111 to hundredths (2) = -111.11
-111.1111 to thousandths (3) = -111.111
-123.4567 integer (0) = -123
-123.4567 to tenths (1) = -123.5
-123.4567 to hundredths (2) = -123.46
-123.4567 to thousandths (3) = -123.457
-444.4444 integer (0) = -444
-444.4444 to tenths (1) = -444.4
-444.4444 to hundredths (2) = -444.44
-444.4444 to thousandths (3) = -444.444
-555.5555 integer (0) = -556
-555.5555 to tenths (1) = -555.6
-555.5555 to hundredths (2) = -555.56
-555.5555 to thousandths (3) = -555.556
-999.9999 integer (0) = -1000
-999.9999 to tenths (1) = -1000
-999.9999 to hundredths (2) = -1000
-999.9999 to thousandths (3) = -1000
NumberPrecision (decimal places)Final value
0.111111 integer (0) = 0
0.111111 to ten (-1) = 0
0.111111 to hundred (-2) = 0
0.111111 to thousand (-3) = 0
0.123456 integer (0) = 0
0.123456 to ten (-1) = 0
0.123456 to hundred (-2) = 0
0.123456 to thousand (-3) = 0
0.555555 integer (0) = 1
0.555555 to ten (-1) = 0
0.555555 to hundred (-2) = 0
0.555555 to thousand (-3) = 0
0.999999 integer (0) = 1
0.999999 to ten (-1) = 0
0.999999 to hundred (-2) = 0
0.999999 to thousand (-3) = 0
111.1111 integer (0) = 111
111.1111 to ten (-1) = 110
111.1111 to hundred (-2) = 100
111.1111 to thousand (-3) = 0
123.4567 integer (0) = 123
123.4567 to ten (-1) = 120
123.4567 to hundred (-2) = 100
123.4567 to thousand (-3) = 0
444.4444 integer (0) = 444
444.4444 to ten (-1) = 440
444.4444 to hundred (-2) = 400
444.4444 to thousand (-3) = 0
555.5555 integer (0) = 556
555.5555 to ten (-1) = 560
555.5555 to hundred (-2) = 600
555.5555 to thousand (-3) = 1000
999.9999 integer (0) = 1000
999.9999 to ten (-1) = 1000
999.9999 to hundred (-2) = 1000
999.9999 to thousand (-3) = 1000
-0.111111 integer (0) = 0
-0.111111 to ten (-1) = 0
-0.111111 to hundred (-2) = 0
-0.111111 to thousand (-3) = 0
-0.123456 integer (0) = 0
-0.123456 to ten (-1) = 0
-0.123456 to hundred (-2) = 0
-0.123456 to thousand (-3) = 0
-0.555555 integer (0) = -1
-0.555555 to ten (-1) = 0
-0.555555 to hundred (-2) = 0
-0.555555 to thousand (-3) = 0
-0.999999 integer (0) = -1
-0.999999 to ten (-1) = 0
-0.999999 to hundred (-2) = 0
-0.999999 to thousand (-3) = 0
-111.1111 integer (0) = -111
-111.1111 to ten (-1) = -110
-111.1111 to hundred (-2) = -100
-111.1111 to thousand (-3) = 0
-123.4567 integer (0) = -123
-123.4567 to ten (-1) = -120
-123.4567 to hundred (-2) = -100
-123.4567 to thousand (-3) = 0
-444.4444 integer (0) = -444
-444.4444 to ten (-1) = -440
-444.4444 to hundred (-2) = -400
-444.4444 to thousand (-3) = 0
-555.5555 integer (0) = -556
-555.5555 to ten (-1) = -560
-555.5555 to hundred (-2) = -600
-555.5555 to thousand (-3) = -1000
-999.9999 integer (0) = -1000
-999.9999 to ten (-1) = -1000
-999.9999 to hundred (-2) = -1000
-999.9999 to thousand (-3) = -1000

Sig Fig Calculator

Our Sig Fig Calculator is designed to help you accurately determine the number of significant figures in any given number. This tool is invaluable for students, scientists, and engineers who require precision in calculations, ensuring clarity and correctness in measurements and data analysis.

Understanding Significant Figures

Significant figures (sig figs) represent the digits in a number that contribute to its accuracy. These include all non-zero numbers, zeros between significant digits, and trailing zeros in a decimal number.

How It Works

  1. Identifying Sig Figs: The calculator identifies and counts all significant digits in the input number, applying standard rules for sig fig determination.
  2. Rounding Numbers: You can also round a given number to the desired number of significant figures, enhancing the readability and precision of results.

Formulas

Counting Sig Figs: No fixed formula but a set of rules. For example, in the number \(123.45\), all digits are significant, making it 5 sig figs.

Rounding to Sig Figs: The number is rounded up or down based on the digit following the last significant figure. For example, rounding \(123.45\) to 3 sig figs gives \(123\).

Practical Uses

Sig figs are crucial in scientific experiments, engineering designs, financial calculations, and any domain where precision is key. They help in maintaining the integrity of measurements and ensuring consistent results across computations.

Frequently Asked Questions

How do you calculate sig figs?
Count all digits except leading zeros, middle zeros, and trailing zeros without a decimal.
What is 23370 to 1 significant figure?
Rounding to 1 sig fig, 23370 becomes 20000.
What is 0.9999 to 3 significant figures?
Rounded to 3 sig figs, 0.9999 becomes 1.00.
How many sig figs is in 1000?
Typically, 1000 has 1 sig fig unless specified with a decimal as 1000.0, indicating 4 sig figs.
How many sig figs are in 200?
200 has 1 significant figure, but it can vary if a decimal point is explicitly included, like 200. indicating 3 sig figs.
What is 7.649 rounded to one significant figure?
Rounded to 1 significant figure, 7.649 becomes 8.
How many significant figures in 108700?
108700 has 5 significant figures, but this can depend on the context, such as if trailing zeros are counted as significant.
How do you round 0.3897 to one significant figure?
Rounded to 1 significant figure, 0.3897 becomes 0.4.
What is 3.845 to 3 significant figures?
3.845 rounded to 3 significant figures is 3.85.
Does 0.100 have 3 significant figures?
Yes, 0.100 has 3 significant figures due to the trailing zeros after the decimal point.
Does 0.300 have 3 significant figures?
Yes, 0.300 has 3 significant figures, as the zeros after the decimal point are considered significant.