What is 7/11 in decimal for rounded to the nearest thousandth
The correct answer and explanation is:
The decimal value of 7/11, rounded to the nearest thousandth, is approximately 0.636.
Explanation:
To convert a fraction like 7/11 into its decimal form, divide the numerator (7) by the denominator (11). This process involves a division of 7 by 11 using long division or a calculator.
When you divide 7 by 11, you get the result:
7 รท 11 = 0.636363636…
This result is a repeating decimal, where the digits “63” repeat indefinitely after the decimal point. In this case, the repeating sequence is “6363…”.
To round this value to the nearest thousandth, you look at the first three decimal places, which are 636. Then, you look at the fourth decimal place to decide if rounding is necessary. The fourth digit is another “3”. Since it is less than 5, the value in the third decimal place remains unchanged.
Thus, 7/11 rounded to the nearest thousandth is 0.636.
Why Rounding Happens:
In many real-world applications, it’s not always practical or necessary to work with repeating decimals. Rounding helps to simplify calculations and make numbers easier to handle. In this case, rounding to the nearest thousandth provides a more manageable number while still representing the fraction 7/11 quite accurately for most purposes.
This type of rounding is commonly used in financial calculations, scientific measurements, and any other situation where precision is important but exact values are not required.