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Last updated on March 17th, 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, 53, 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.
53/1000 in decimals can be written as 0.053. It is a terminating decimal, indicating it doesn't repeat infinitely.
To get 53/1000 in decimal form, we will use division. Here, 53 is smaller than 1000, which will result in a decimal less than 1. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (53) will be taken as the dividend and the denominator (1000) will be taken as the divisor.
Step 2: Since 53 is smaller than 1000, it can't be divided without resulting in a fraction. We will add zeros to the dividend until it becomes larger than the divisor, placing a decimal point in the quotient place.
Step 3: Make 53 into 530 by adding a zero. Since 530 is still smaller than 1000, the quotient is 0.
Step 4: Make 530 into 5300 by adding another zero. Now divide: 1000 goes into 5300 five times (5 × 1000 = 5000). Write 5 in the quotient place.
Step 5: Subtract 5000 from 5300, which gives 300. Make 300 into 3000 by adding another zero.
Step 6: Divide 1000 into 3000 three times (3 × 1000 = 3000). Write 3 in the quotient place. The division process ends here, resulting in a terminating decimal.
The answer for 53/1000 as a decimal is 0.053.