To have four decimal places is to have four (or fewer) digits to the right of the decimal point when written in decimal notation e.g. 12.3456. Typically we would pad a number with fewer than four digits, so 1.23 would be written 1.2300 in scientific work to indicate its precision level.
We can round off to any given number of decimal places: 1 decimal place (tenths) 2 decimal places (hundredths) 3 decimal places (thousandths) 4 decimal places (ten-thousandths)
You have to be aware that "accuracy to three decimal places" is not an exact mathematical notion. I'm usually interpreting it in the following sense: "The relative error is ≈0.001." Of course there is an underlying reason for this semantical "unaccuracy", namely the following: Consider the three digit number 999.
Rounding a decimal number to two decimal places is the same as rounding it to the hundredths place, which is the second place to the right of the decimal point. For example, 2.83620364 can be rounded to two decimal places as 2.84, and 0.7035 can be rounded to two decimal places as 0.70.
To be accurate to 5 decimals is used when a division gives a result containing a long number of digits after the decimal. The user of the information is happy to get the result to 5 decimal points. Example: 1.2345678 will be shown as 1.23457 (because the sixth digit after decimal is >=5.
For example 0.1 is stored as 0.100000000000000014. If lots of numbers like this are added together then the sum of the parts beyond the 16th decimal place may add up to an error that creeps into the "accurate" zone causing results of some calculations to have less than 16 decimal places of precision.
Size Matters When It Comes to Decimal Places
But five decimal places can accurately hone in on an individual tree, and six can identify a person.
To round to a decimal place: look at the first digit after the decimal point if rounding to one decimal place or the second digit for two decimal places.
Examples. Round 248.561 to 1 decimal place, then round it to 2 decimal places: 248.5|61 to 1 decimal place is 248.6. 248.56|1 to 2 decimal places is 248.56.
π rounded to 4 decimal places is 3.1416 (3.14159… is closer to 3.1416 than to 3.1415).
4 % is the equivalent percentage of 0 . 004.
2 = tenths. 3 = ten thousandths. 4 = millionths. 5 = hundred thousandths (Solution Video | Transcript)
So, 0.76, 0.760, and 0.7600 all have the same value, since we can write them as fractions and simplify, giving us 0 .
The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.
4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places). 4.737 rounded to 2 decimal places would be 4.74 (because it would be closer to 4.74).
Rounding to one decimal place means the resulting number should have only one decimal value stated (in other words, only one digit to the right of the decimal point).
To round to two decimal places means to find the approximate value of a number up to the hundredths place, which is second to the right of the decimal point. It helps us to shorten the number and makes it easy for us to use it in calculations.
Use one decimal place for: Means.
A series of measurements are required to define precision. Example: The measured height of a wall as 8.1 feet when the actual height is 8 feet, is an example of accuracy.
A number with more digits after the decimal point, for instance, 1.233443322 is more precise than a number with a similar value with fewer digits after the decimal point, like 1.2334. For example, the value of pi is approximately 3.14159265359. A number that is quite accurate but not precise is 3.141.
Well, five decimal places will get you to within a meter and six will get you to within 11 cm: The fifth decimal place is worth up to 1.1 m: it distinguish trees from each other.