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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: numerator (number on the top) here, 83 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 100. 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.
83/100 in decimals can be written as 0.83. It is a terminating decimal because it ends after two decimal places.
To get 83/100 as a decimal, we will use division. Here as 83 is already less than 100, we will convert it directly into decimal form. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (83) will be taken as the dividend and the denominator (100) as the divisor.
Step 2: Since 83 is smaller than 100, it can't be divided to give a whole number, so we use decimals. By placing a decimal point, we can move forward.
Step 3: Dividing 83 by 100 directly gives us 0.83. This is because 100 goes into 83, 0 times, with 83 remaining.
Step 4: To express it as a decimal, we move the decimal two places to the left, giving us 0.83.
The answer for 83/100 as a decimal is 0.83, a terminating decimal.