Write each fraction as a decimal. For repeating decimals, write the answer by first using bar notation and then rounding to the nearest thousandth. 3/8

Key Concepts

Fractions and Decimals

Fractions represent a part of a whole and can be converted into decimals. The fraction 3/8 indicates that 3 is divided by 8, which can be expressed as a decimal by performing the division, resulting in 0.375. Understanding this conversion is essential for solving the problem.

Repeating Decimals

Repeating decimals occur when a decimal representation of a fraction continues infinitely with a repeating pattern. For example, the fraction 1/3 converts to 0.333..., which can be denoted using bar notation as 0.3̅. Recognizing and representing repeating decimals correctly is crucial for accurate answers.

Rounding Decimals

Rounding decimals involves adjusting the decimal to a specified number of places, which simplifies the number while maintaining its value. In this case, rounding to the nearest thousandth means looking at the fourth decimal place to determine whether to round up or down. This concept is important for providing a concise and precise answer.