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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, numerator (number on the top) here, 11 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 the 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.
11/1000 in decimals can be written as 0.011. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 11/1000 in decimal, we will use the division method. Here as 11 is smaller than 1000, we will take the help of the decimal method which will give us 0.011. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend and the denominator (1000) will be taken as the divisor.
Step 2: As 11 is smaller than 1000, it can't be divided here without using decimals. We will add 0 to the dividend, which will make it 110, 1100, and finally 11000, and add a decimal point in the quotient place.
Step 3: Now that it is 11000, we can divide it by 1000. Let's see how many times 1000 fits into 11000.
Step 4: 1000 goes into 11000 exactly 11 times. Step 5: Write 0.011 in the quotient place. The division process stops here with no remainder. This process is called a terminating decimal.
The answer for 11/1000 as a decimal will be 0.011.