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Last updated on March 13th, 2025

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-1/8 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

This is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top), which indicates how many parts of the whole are being considered, and the denominator (the number below), which shows how many parts make up the whole. Here, the numerator is -1, and the denominator is 8. A decimal is a way to represent a number that is not whole, 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 part, and those to the right represent the fractional part.

Professor Greenline from BrightChamps

What is -1/8 as a decimal?

-1/8 as a decimal

 

 

Answer

-1/8 in decimals can be written as -0.125. It is a terminating decimal, which means it ends after a certain number of decimal places.

 

Explanation

To convert -1/8 to a decimal, we use the division method. Here, since -1 is smaller than 8, we will use the decimal method to perform the division and find the result of -0.125. Let's break down the process step by step:

 

Step 1: Identify the numerator and denominator. The numerator (-1) will be taken as the dividend, and the denominator (8) will be the divisor.

 

Step 2: As -1 is smaller than 8, we cannot divide it directly. We will use decimals by adding a decimal point and zeros to the dividend to proceed with the division.

 

Step 3: Perform the division. After adding a decimal point, -1 becomes -10. Divide -10 by 8, which gives -1.25. Since -10 is not divisible by 8 exactly, we bring down additional zeros and continue dividing until the remainder is zero.

 

Step 4: The division process results in a terminating decimal, -0.125.

 

Thus, the answer for -1/8 as a decimal is -0.125.

Professor Greenline from BrightChamps

Important Glossaries for -1/8 as a decimal

  • Fraction: A numerical quantity that represents a part of a whole, consisting of a numerator and a denominator.

 

  • 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 after a finite number of digits.
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