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Last updated on March 3rd, 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 4, which represents how many parts out of the whole, and the denominator (number below), here 100, which shows how many parts make the whole. 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.
4/100 in decimals can be written as 0.04. It is a terminating decimal, meaning it ends and does not repeat.
To convert 4/100 into a decimal, we will use the division method. Here, since 4 is smaller than 100, we will express it as a decimal.
Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend, and the denominator (100) will be taken as the divisor.
Step 2: As 4 is smaller than 100, it can't be directly divided to give a whole number, so we use decimals. We will add decimal places to the quotient.
Step 3: Divide 4 by 100. Since 100 doesn't go into 4, we add a zero to 4, making it 40 and then another zero, making it 400 to perform the division.
Step 4: 100 goes into 400 four times, so we write 0.04 in the quotient.
Step 5: The remainder is 0, which shows the process ends here, confirming it is a terminating decimal.
The answer for 4/100 as a decimal is 0.04.