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Last updated on March 13th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here -1, representing how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 20. A decimal is a way to represent the number that is not whole, using a decimal point (.) to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
-1/20 in decimals can be written as -0.05.
To convert -1/20 to a decimal, we will use the division method. Here, as -1 is smaller than 20, the decimal method will give us -0.05. 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 (20) will be taken as the divisor.
Step 2: As -1 is smaller than 20, it can't be divided directly to give a whole number, so we use the decimal method. We will add 0 to the dividend, making -1 into -10, and add a decimal point in the quotient place.
Step 3: Now that it is -10, we can divide it by 20. Let's see how many times 20 fits into 10.
Step 4: 10 is not a multiple of 20, so we will look for the nearest number. Since 20 cannot fit into 10 at all, we consider 20 × 0 = 0.
Step 5: Bring down another 0 in the dividend place, making it -100, and then divide by 20, which results in -5. The division process results in a terminating decimal.
The answer for -1/20 as a decimal will be -0.05.