1/120 as a Decimal

Answer

1/120 in decimals can be written as 0.0083333… It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 1/120 in decimal, we will use the division method. Here, as 1 is smaller than 120, we will take the help of the decimal method, which will give us 0.0083333…. 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 (120) will be taken as the divisor.

Step 2: As 1 is smaller than 120, it can't be divided. Here, we will take the help of decimals. We will add 0s to the dividend, which will make it 10, 100, etc., and add a decimal point in the quotient place.

Step 3: Now that it is 100, we can divide it by 120. Let's see how many times 120 goes into 1000, which is the next step.

Step 4: 1000 is not a multiple of 120, so we will look for the nearest number. 120 goes into 1000 eight times (8 × 120 = 960). We will write 8 in the quotient place and subtract 960 from 1000, which gives 40.

Step 5: Bring down another 0 in the dividend place and make it 400, 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 1/120 as a decimal will be 0.0083333….

• 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.