To write 1/3 as a decimal, we need to perform a division operation. The numerator, which is 1, is divided by the denominator, which is 3. There are different methods to perform this division, but one common method is long division.
Here’s how to perform long division to convert 1/3 to a decimal:
The first step is to place the decimal point in the quotient, which is the answer, above the division symbol. In this case, since 1 is less than 3, we add a zero after the decimal point to the dividend, which is the number being divided. We then divide 3 into 10, which gives us 3 with a remainder of 1. We write the 3 in the quotient and bring down the next digit of the dividend, which is the 0. We then divide 3 into 10 again, which gives us 3 with a remainder of 1. We repeat this process until we obtain the desired level of accuracy.
Thus, 1/3 can be written as 0.3333… where the dots indicate that the decimal expansion goes on infinitely. It is important to note that this decimal is a non-repeating decimal, which means that it does not have a pattern that repeats indefinitely. Therefore, it is often expressed as a fraction rather than a decimal, especially in exact calculations.
To express 1/3 as a terminating decimal, which is a decimal that has a finite number of digits, we can round it to a certain number of decimal places. For example, if we round 1/3 to three decimal places, we get:
1/3 = 0.333
If we round it to two decimal places, we get:
1/3 = 0.33
If we round it to one decimal place, we get:
1/3 = 0.3
Note that rounding the decimal may introduce some level of error in the result, especially if we need to use the decimal in further calculations. Therefore, it is important to be mindful of the level of accuracy needed and the potential sources of error when converting a fraction to a decimal.