9/1000 as a decimal

Understand the Problem

The question is asking how to convert the fraction 9/1000 into its decimal form. To solve this, we will divide 9 by 1000.

Answer

The decimal form of the fraction $\frac{9}{1000}$ is 0.009.
Answer for screen readers

The decimal form of the fraction $\frac{9}{1000}$ is 0.009.

Steps to Solve

  1. Set up the division Start by writing the division problem where you divide 9 by 1000.

$$ 9 \div 1000 $$

  1. Perform the division When you perform this division, since 9 is less than 1000, we should write it as a decimal. We can do this by adding a decimal point and zeros to 9.

  2. Divide step by step Consider how many times 1000 goes into 9. It goes 0 times. Place a 0 in front of the decimal point.

Next, move to 90 (adding a zero), 100, and 900. 1000 still cannot go into these values.

  1. Extend to more decimal places Add another zero to get 9000, now divide:

$$ 1000 \text{ into } 9000 \text{ goes } 9 \text{ times.} $$

Write down 9 after the decimal point.

So, the decimal representation of $\frac{9}{1000}$ is 0.009.

The decimal form of the fraction $\frac{9}{1000}$ is 0.009.

More Information

Converting fractions to decimals is useful in many areas, such as finance and measurements. Understanding how to perform division with decimals opens the door to many mathematical applications.

Tips

  • Not adding enough zeros: When working with decimals, it is essential to extend enough zeros to get an accurate representation. Always keep the decimal in mind and add zeros as needed.
  • Stopping too early: Failing to reach the correct number of decimal places can lead to an incorrect answer.

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