Write each fraction as a decimal. For repeating decimals, write the answer by first using bar notation and then rounding to the nearest thousandth. 9/4

Key Concepts

Fractions and Decimals

Fractions represent a part of a whole and can be converted into decimals. The fraction 9/4 indicates that 9 is divided by 4, which results in a decimal value. Understanding how to perform this division is essential for converting fractions to decimals accurately.

Repeating Decimals

Repeating decimals occur when a decimal representation of a fraction has a digit or group of digits that repeat indefinitely. For example, when converting certain fractions, such as 1/3, the result is 0.333..., which can be denoted using bar notation as 0.3̅. Recognizing and representing repeating decimals correctly is crucial for precise mathematical communication.

Rounding Numbers

Rounding is the process of adjusting a number to a specified degree of accuracy, often to simplify calculations or results. When rounding to the nearest thousandth, one looks at the digit in the fourth decimal place to determine whether to round up or down. This concept is important for providing a concise and manageable representation of decimal values.