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Last updated on March 4th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top) and denominator (number below). Here, 1 in the numerator represents one part of the whole. The denominator, 10000, shows how many parts make the whole. 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, and those to the right represent the fractional part.
1/10000 in decimal form can be written as 0.0001. This is a terminating decimal, meaning it ends after a few decimal places.
To convert 1/10000 into a decimal, we will use the division method. Since 1 is smaller than 10000, we will employ decimal conversion to find the result. Let's follow the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator; here, the numerator (1) is the dividend, and the denominator (10000) is the divisor.
Step 2: As 1 is smaller than 10000, it can't be divided directly. We will add zeros to the dividend and a decimal point in the quotient.
Step 3: Treat the dividend as 10000 by adding four zeros. Divide 10000 by 10000, which results in 1.
Step 4: Place the decimal point in the quotient, giving us 0.0001. This process yields a terminating decimal.
The answer for 1/10000 as a decimal is 0.0001.