Table Of Contents
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, 5 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.
5/1000 in decimals can be written as 0.005. It is a terminating decimal, meaning it does not repeat and ends after a few digits.
To get 5/1000 in decimal, we will use the division method. Here, since 5 is smaller than 1000, we will take the help of the decimal method, which will give us 0.005. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (1000) will be taken as the divisor.
Step 2: As 5 is smaller than 1000, it can't be divided directly; here, we will take the help of decimals. We will add 0 to the dividend, which will make it possible to divide.
Step 3: Now we will perform the division process, 5 divided by 1000.
Step 4: 1000 goes into 5 as 0, so we write 0 in the quotient place and consider the decimal point.
Step 5: By continuing the division, we see that 1000 goes into 50 as 0, continue with this process until we get 5000 divided by 1000 = 5. The division process ends here, giving us a terminating decimal.
The answer for 5/1000 as a decimal will be 0.005.