8 8/9 as a Decimal

Answer

8 8/9 in decimals can be written as 8.8888. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 8 8/9 in decimal, we will use the division method for the fractional part. The whole number 8 remains unchanged, while 8/9 converts to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (8) will be taken as the dividend and denominator (9) will be taken as the divisor.

Step 2: As 8 is smaller than 9, it can't be divided without using decimals. We will add a 0 to the dividend, making it 80, and add a decimal point in the quotient place.

Step 3: Now that it is 80, we can divide it by 9. Let's see how many times 9 fits into 80.

Step 4: 80 is not a multiple of 9, so we will look for the nearest number that is 9 × 8 = 72. We will write 8 in the quotient place and subtract 72 from 80, giving 8.

Step 5: Bring down another 0 in the dividend place to make 8 as 80 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 8 8/9 as a decimal will be 8.8888.

• Mixed Number: A number consisting of an integer and a proper fraction.
   
• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Recurring Decimal: A decimal that repeats the same digit or sequence of digits infinitely.