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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: the numerator (number on the top) here, 1 represents how many parts out of the whole, and the denominator (number below) shows how many parts make the whole, here it is 8. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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.
1/8 in decimals can be written as 0.125. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 1/8 in decimal form, we will use the division method. Here, as 1 is smaller than 8, we will apply the decimal method to get 0.125. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (8) will be taken as the divisor.
Step 2: As 1 is smaller than 8, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 1 become 10, and add a decimal point in the quotient place.
Step 3: Now that it is 10, we can divide it by 8. Let's see how many times 8 makes 10.
Step 4: 10 is not a multiple of 8, so we will look for the nearest number, which is 8 × 1 = 8. We will write 1 in the quotient place and subtract 8 from 10, giving us 2.
Step 5: Bring down another 0 in the dividend place, making it 20, and then repeat the division process.
Step 6: 20 divided by 8 is 2 (since 8 × 2 = 16), subtract 16 from 20, giving us 4. Bring down another 0 to make it 40.
Step 7: 40 divided by 8 is 5 (since 8 × 5 = 40), leaving no remainder. The division process ends here, resulting in a terminating decimal.
The answer for 1/8 as a decimal is 0.125.