what is 1/9 as a decimal? give your answer rounded to 2 decimal places.
The Correct Answer and Explanation is:
Correct Answer:
1/9 as a decimal is 0.11 (rounded to two decimal places).
Explanation:
To convert a fraction into a decimal, you divide the numerator by the denominator. In the case of 1/9:1÷9=0.111111…1 \div 9 = 0.111111…1÷9=0.111111…
This result is a repeating decimal, where the digit 1 continues infinitely. The repeating nature is indicated by a bar notation: 0.1‾0.\overline{1}0.1. However, when a decimal is needed to a certain number of decimal places, it must be rounded.
Since the question asks for the decimal rounded to two decimal places, we need to look at the third digit after the decimal to decide how to round:
- The number is 0.111…
- The first two digits are 1 and 1
- The third digit is also 1, which is less than 5, so we round down
Thus, the decimal becomes:0.110.110.11
This rounding process is based on standard mathematical rules:
- If the next digit is 5 or more, you round up
- If it is less than 5, you round down
Decimals like this are important in real-world calculations where only a certain degree of accuracy is needed. For example, in financial contexts or measurements, rounding to two decimal places is common, especially when dealing with currency, which typically uses two digits after the decimal point.
Repeating decimals like 1/9, 2/9, and 4/9 illustrate how some fractions cannot be exactly represented by a finite decimal. Recognizing repeating patterns and rounding appropriately is a useful skill in both academic and practical settings.
So, 1 divided by 9 equals 0.111… and rounded to two decimal places, the answer is 0.11.
