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Last updated on March 13th, 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 (the number on the top) here, 2 represents how many parts out of the whole. The denominator (the 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 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.
2/1000 in decimals can be written as 0.002. It is a terminating decimal, showing it has a finite number of digits.
To get 2/1000 in decimal, we will use the division method. Since 2 is smaller than 1000, we will take the help of the decimal method, which will give us 0.002. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (1000) will be taken as the divisor.
Step 2: Since 2 is smaller than 1000, it can't be divided directly; here, we will take the help of decimals. We will add 0s to the dividend, which will make it 2000 and add a decimal point in the quotient place.
Step 3: Now that it is 2000, we can divide it by 1000. Let's see how many times 1000 makes 2000.
Step 4: 2000 divided by 1000 is 2, as 1000 × 2 = 2000.
Step 5: Write 2 in the quotient place, and since 2000 subtracts exactly from 2000, there is no remainder. The division process stops here as we have reached a remainder of 0.
The answer for 2/1000 as a decimal will be 0.002.