1/33 as a Decimal

Answer

1/33 in decimals can be written as 0.030303..... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 1/33 in decimal form, we will use the division method. Since 1 is smaller than 33, we will employ the decimal method, which will result in 0.030303. 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 (33) will be taken as the divisor.

Step 2: As 1 is smaller than 33, 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 33. However, 10 is smaller than 33, so we will bring down another 0 to make it 100.

Step 4: 100 is not a multiple of 33, so we will look for the nearest number that is 33 × 3 = 99. We will write 3 in the quotient place and subtract 99 from 100 to get 1.

Step 5: Bring down another 0 in the dividend place, making it 10 again, 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 1/33 as a decimal will be 0.030303……

• 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.