1/11 as a Decimal

Answer

1/11 in decimals can be written as 0.090909…. It is a recurring decimal, indicating that it will repeat the same digit infinitely.

Explanation

To get 1/11 in decimal, we will use the division method. Here as 1 is smaller than 11, we will use the decimal method, which will give us 0.090909. 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 (11) will be taken as the divisor.

Step 2: As 1 is smaller than 11, 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 11. Let's see how many times 11 makes 10.

Step 4: 10 is not a multiple of 11, so we will look for the nearest number that is less than 10. We will write 0 in the quotient place and bring down another 0 to make it 100.

Step 5: Now, 11 goes into 100 nine times (11 × 9 = 99). We write 9 in the quotient place, and subtracting 99 from 100 gives 1. Step 6: Bring down another 0 to the dividend to make it 10 again, and repeat the division process. This process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 1/11 as a decimal will be 0.090909….

• 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.