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Last updated on August 5, 2025

1/8 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 1/8 as a decimal?

1/8 as a decimalAnswer

 

1/8 in decimals can be written as 0.125. It is a terminating decimal, meaning it ends and does not repeat infinitely.

 

Explanation

 

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.

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Important Glossaries for 1/8 as a decimal

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
     
  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
     
  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
     
  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.
     
  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
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