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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 of the whole. It has two parts: numerator (the number on the top), here, 4 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 10. 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.
4/10 in decimals can be written as 0.4. It is a terminating decimal, meaning it does not repeat infinitely.
To get 4/10 in decimal, we will use the division method. 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 (10) will be taken as the divisor.
Step 2: As 4 is smaller than 10, we will take the help of decimals. We will add a decimal point in the quotient place and add a zero to the dividend, making it 40.
Step 3: Now that it is 40, we can divide it by 10. Let's see how many times 10 makes 40. Step 4: 10 × 4 = 40. We will write 4 in the quotient place, and subtracting 40 from 40 gives 0. Since the remainder is 0, the division process stops here. This process is called a terminating decimal.
The answer for 4/10 as a decimal will be 0.4.