1/9 as a Decimal

Answer

1/9 in decimals can be written as 0.11111… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1/9 in decimal, we will use the division method. Here, as 1 is smaller than 9, we will take the help of the decimal method, which will give us 0.1111. Let's see the step-by-step breakdown of the process:

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

Step 2: As 1 is smaller than 9, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 9. Let's see how many times 9 fits into 10.

Step 4: 10 is not a multiple of 9, so we will look for the nearest number that is 9 × 1 = 9. We will write 1 in the quotient place and subtract 9 from 10, which gives 1.

Step 5: Bring down another 0 in the dividend place and make 1 as 10, 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 1/9 as a decimal will be 0.1111…

• 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.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.