1/90 as a Decimal

Answer

1/90 in decimals can be written as 0.011111….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 1/90 into a decimal, we will use the division method. Here as 1 is smaller than 90, we will take help of the decimal method, which will give us 0.0111. 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 (90) will be taken as the divisor.

Step 2: As 1 is smaller than 90, 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 90. Since 10 is smaller than 90, we add another 0 to make it 100, and then we see how many times 90 fits into 100.

Step 4: 90 fits into 100 once, so we write 1 in the quotient place and subtract 90 from 100, leaving a remainder of 10.

Step 5: Bring down another 0 in the dividend place to make it 100 and 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 1/90 as a decimal is 0.011111…

• 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 digit or group of digits repeats infinitely.