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Last updated on March 13th, 2025

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1/8 inch as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

Converting fractions to decimals is a fundamental skill. A fraction represents a part of a whole, consisting of a numerator (the top number) and a denominator (the bottom number). In 1/8, the numerator is 1, indicating one part of the whole, and the denominator is 8, indicating the whole is divided into 8 equal parts. A decimal represents a non-whole number, using 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.

Professor Greenline from BrightChamps

What is 1/8 inch as a decimal?

1/8 inch as a decimal

 

Answer

 

1/8 as a decimal can be written as 0.125.

 

Explanation

 

To convert 1/8 into a decimal, we use the division method. Let's break down the process step by step:

 

Step 1: Identify the numerator and denominator, where the numerator (1) is the dividend and the denominator (8) is the divisor.

 

Step 2: Divide 1 by 8. Since 1 is smaller than 8, we use decimals to assist in the division by adding a decimal point and zero to the dividend.

 

Step 3: Divide 10 by 8. It goes 1 time. Write 1 in the quotient and subtract 8 from 10, which gives a remainder of 2.

 

Step 4: Bring down another 0 to make it 20. Divide 20 by 8, which goes 2 times, and subtract 16 (8*2) from 20 to get a remainder of 4.

 

Step 5: Bring down another 0 to make it 40. Divide 40 by 8, which goes 5 times, with no remainder. The division process ends here because we reach a remainder of 0.

 

Thus, 1/8 as a decimal is 0.125.

Professor Greenline from BrightChamps

Important Glossaries for 1/8 inch 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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