8 7/9 as a Decimal

Answer

8 7/9 in decimal form is approximately 8.77777… It is a recurring decimal, indicating that the digit 7 repeats infinitely.

Explanation

To convert 8 7/9 to a decimal, we first convert the fraction 7/9 to a decimal. We will use the division method.

Step 1: Identify the numerator and denominator. Here, 7 is the numerator, and 9 is the denominator.

Step 2: Divide 7 by 9. Since 7 is smaller than 9, we use decimals. Add a decimal point and zero, making it 70.

Step 3: 9 goes into 70 a total of 7 times (since 9 × 7 = 63). Place 7 in the quotient and subtract 63 from 70 to get 7.

Step 4: Bring down another 0, making it 70 again, and repeat the division process.

Step 5: This process will repeat indefinitely, resulting in a recurring decimal of 0.77777…

Finally, add this to the whole number part, 8, to get 8.77777…

• Mixed Number: A number consisting of an integer and a fractional part.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.