What Is 1/7 In Decimal Form

Quick Links :

To convert the fraction 1/7 to decimal form, we can use long division.

1 ÷ 7 = 0.142857

So, the decimal form of 1/7 is 0.142857.

Note that the decimal form of 1/7 is a repeating decimal, which means that the sequence of digits "142857" repeats infinitely. This is because 7 is a prime number and does not divide evenly into 10, which is the base of the decimal system.

Here's a brief explanation of how to convert fractions to decimals:

Converting Fractions to Decimals

Converting fractions to decimals is a simple process that involves dividing the numerator (the top number) by the denominator (the bottom number).

Steps to Convert Fractions to Decimals

1. Divide the numerator by the denominator using long division.
2. Continue dividing until the remainder is 0 or until the desired level of precision is reached.
3. Write the result as a decimal number.

Repeating Decimals

Repeating decimals are decimal numbers that have a block of digits that repeat indefinitely. These decimals can be represented using a bar above the repeating block of digits.

For example, the decimal representation of 1/7 is 0.142857, which can be written as 0.142857 (where the bar indicates that the block of digits "142857" repeats indefinitely).

Examples of Repeating Decimals

• 1/3 = 0.333... (where the 3 repeats indefinitely)
• 1/7 = 0.142857 (where the block of digits "142857" repeats indefinitely)
• 2/9 = 0.222... (where the 2 repeats indefinitely)

Terminating Decimals

Terminating decimals are decimal numbers that have a finite number of digits after the decimal point.

For example, the decimal representation of 1/2 is 0.5, which is a terminating decimal.

Examples of Terminating Decimals

• 1/2 = 0.5
• 1/4 = 0.25
• 3/4 = 0.75

Conclusion

In this article, we have learned how to convert fractions to decimals using long division. We have also learned about repeating decimals and terminating decimals, and how to represent them.

We hope this article has been helpful in understanding the basics of decimal conversions. If you have any questions or need further clarification, please leave a comment below.