1/111 as a Decimal

Answer

1/111 in decimals can be written as 0.009009009….. It is a recurring decimal, showing it will repeat the same digits infinitely.

Explanation

To get 1/111 in decimal, we will use the division method. Here as 1 is smaller than 111, we will take the help of decimal method which will give us 0.009009009. 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 dividend and the denominator (111) will be taken as divisor.

Step 2: As 1 is smaller than 111, 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 cannot divide it by 111. We continue adding zeros to the dividend to make it 100, then 1000, and so on until we can divide.

Step 4: 1000 is not a multiple of 111, so we will find the nearest number: 111 × 9 = 999. We will write 9 in the quotient place and subtract 999 from 1000 to get 1.

Step 5: Bring down another 0 in the dividend place and make it 10, 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 1/111 as a decimal will be 0.009009009……

• 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 a sequence of digits repeats infinitely.