What is 8/9 in decimal form?

Understand the Problem

The question is asking for the decimal representation of the fraction 8/9. To solve this, we need to divide the numerator (8) by the denominator (9).

Answer

0.888888... or 0.\overline{8}
Answer for screen readers

The final answer is 0.888888... or 0.\overline{8}

Steps to Solve

  1. Set up the Division Problem

To convert \(\frac{8}{9}\) to a decimal, set up the division as \ 8 \div 9 \.

  1. Perform the Division

Divide 8 by 9. Add a decimal point and zeros to the dividend as necessary:

$$ 8.000000 \div 9 $$

  1. Calculate the Quotient

The division results in a repeating decimal:

$$ 8.000000 \div 9 = 0.888888... $$

  1. Write the Answer

Recognize that the decimal repeats, and represent it as:

$$ 0.\overline{8} $$

The final answer is 0.888888... or 0.\overline{8}

More Information

Fractions like 8/9 result in repeating decimals because 9 is a factor of 10 minus 1.

Tips

A common mistake is stopping the division too soon. Notice the repeating pattern.

Thank you for voting!
Use Quizgecko on...
Browser
Browser