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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 8 represents how many parts out of the whole. The denominator (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.
8/10 in decimals can be written as 0.8. It is a terminating decimal, showing it has a finite number of digits after the decimal point.
To get 8/10 in decimal, we will use the division method. Here, since 8 is smaller than 10, we will perform the division which will give us 0.8. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (10) will be taken as the divisor.
Step 2: As 8 is smaller than 10, it can't be divided without a remainder. Here we use the decimal by adding a 0 to the dividend, which makes it 80 and adds a decimal point in the quotient place.
Step 3: Now that it is 80, we can divide it by 10. Let's see how many times 10 fits into 80.
Step 4: 10 goes into 80 exactly 8 times, so we write 8 in the quotient place.
Step 5: Subtracting 80 from 80 gives 0, and there is no remainder.
The division process ends with no remainder, confirming that 8/10 as a decimal is 0.8.