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Last updated on March 11th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), here 1, which represents how many parts out of the whole, and the denominator (number below), here 125, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
1/125 in decimals can be written as 0.008. It is a terminating decimal because it ends after a few digits.
To get 1/125 in decimal, we will use the division method. Here, as 1 is smaller than 125, we will take the help of the decimal method, which will give us 0.008. 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 (125) will be taken as the divisor.
Step 2: As 1 is smaller than 125, 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, then continue adding zeros until we can divide, while placing a decimal point in the quotient place.
Step 3: Now that it is 1000, we can divide it by 125. Let's see how many times 125 makes 1000.
Step 4: 125 is a factor of 1000. So, 125 × 8 = 1000. We will write 8 in the quotient place and subtract 1000 from 1000 to get 0.
Step 5: Since the remainder is 0, the division process ends, and we have a terminating decimal.
The answer for 1/125 as a decimal will be 0.008.