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

Verified step by step guidance

1. Identify the fraction given: \( \frac{9}{4} \). This fraction represents the division of 9 by 4.
2. Perform the division \( 9 \div 4 \) to convert the fraction into a decimal. This can be done by long division or a calculator.
3. Determine if the decimal is terminating or repeating. Since 4 is a factor of 10's powers (2^2), the decimal will terminate.
4. Write the decimal result from the division. Since it is terminating, bar notation is not necessary.
5. Round the decimal to the nearest thousandth by looking at the fourth decimal place and adjusting the third decimal place accordingly.

Key Concepts

Converting Fractions to Decimals

Converting a fraction to a decimal involves dividing the numerator by the denominator. This process can result in a terminating decimal, a repeating decimal, or a non-terminating non-repeating decimal. Understanding this helps in expressing fractions in decimal form accurately.

Repeating Decimals and Bar Notation

A repeating decimal has one or more digits that repeat infinitely. Bar notation is used to indicate the repeating part by placing a horizontal bar over the repeating digits. This notation provides a concise way to represent infinite repeating decimals.

Rounding Decimals to a Specific Place Value

Rounding decimals involves approximating a decimal number to a specified place value, such as the nearest thousandth. This is done by looking at the digit immediately after the desired place and adjusting accordingly. Rounding simplifies decimals for practical use while maintaining reasonable accuracy.