Table Of Contents
Last updated on March 13th, 2025
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.
-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.
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.