Table Of Contents
Last updated on March 12th, 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, 9, 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
9/1000 in decimals can be written as 0.009. It is a terminating decimal, indicating that it ends after a finite number of digits.
To get 9/1000 in decimal, we will use the division method. Here, as 9 is smaller than 1000, we will use the decimal method, which will give us 0.009. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend and the denominator (1000) will be taken as the divisor.
Step 2: As 9 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 90, and add a decimal point in the quotient place.
Step 3: 90 is still smaller than 1000. Bring down another 0 to make it 900.
Step 4: 900 is still smaller than 1000. Bring down another 0 to make it 9000.
Step 5: Now, 9000 divided by 1000 is exactly 9. The division process stops here as we have reached 0 remainder. This process is called a terminating decimal.
The answer for 9/1000 as a decimal will be 0.009.