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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 1, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 1000. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
1/1000 in decimals can be written as 0.001. It is a terminating decimal, meaning it does not repeat infinitely.
To get 1/1000 in decimal form, we will use the division method. Here, as 1 is smaller than 1000, we will take the help of the decimal method, which will give us 0.001. 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 (1000) will be taken as the divisor.
Step 2: As 1 is smaller than 1000, it can't be divided without using decimals. We will add 0 to the dividend, making 1 as 10, then as 100, and finally as 1000, adding a decimal point in the quotient place.
Step 3: Now that it is 1000, we can divide it by 1000. 1000 divided by 1000 is 1.
Step 4: Write 0.001 in the quotient place as the decimal representation of 1/1000. The division process stops as we have no remainder, and this is called a terminating decimal.
The answer for 1/1000 as a decimal will be 0.001.