1/999 as a Decimal

Answer

1/999 in decimals can be written as 0.001001001…. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 1/999 in decimal, we will use the division method. Here, as 1 is smaller than 999, we will take help of the decimal method, which will give us 0.001001001. 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 (999) will be taken as the divisor.

Step 2: As 1 is smaller than 999, 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 1000 and add a decimal point in the quotient place.

Step 3: Now that it is 1000, we can divide it by 999. Let's see how many times 999 fits into 1000.

Step 4: 1000 is slightly greater than 999, so 999 fits into 1000 exactly once. We will write 1 in the quotient place and subtract 999 from 1000, giving us 1.

Step 5: Bring down another 0 in the dividend place and make it 10, continue this process by bringing down additional zeros and repeating 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 1/999 as a decimal will be 0.001001001……

• 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.