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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 (number on the top) here, 3 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 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.
3/1000 in decimals can be written as 0.003. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 3/1000 into a decimal, we will use the division method. Here, since 3 is smaller than 1000, we will take the help of the decimal method to give us 0.003. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (1000) will be taken as the divisor.
Step 2: As 3 is smaller than 1000, it can't be divided directly. Here we will take the help of decimals. We add zeros to the dividend and place a decimal point in the quotient place.
Step 3: We need to determine how many times 1000 can go into 3,000 (by adding a decimal and zeros).
Step 4: 1000 goes into 3000 three times exactly. Therefore, the quotient is 0.003.
Step 5: The division process ends here as there is no remainder, indicating a terminating decimal.
The answer for 3/1000 as a decimal will be 0.003.