1/1024 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (the number on the top), here, 1 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 1024. A decimal is a way to represent the number that is not whole, using a (.) or a decimal 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.

What is 1/1024 as a decimal?

$1/1024 as a decimal$ Answer

1/1024 in decimal form can be written as 0.0009765625. It is a terminating decimal, meaning it ends after a certain number of digits.

Explanation

To convert 1/1024 into decimal form, we will use the division method. Here, as 1 is smaller than 1024, we will take the help of the decimal method to perform the division. 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 (1024) will be taken as the divisor.

Step 2: As 1 is smaller than 1024, it can't be divided directly, so we will take the help of decimals. We will add zeros to the dividend and add a decimal point in the quotient place.

Step 3: We can now divide 1.0000000000 by 1024. Let's see how many times 1024 fits into the dividend.

Step 4: The division will show that 1024 goes into 10000 approximately 9 times, giving 9216 as the product. Subtracting 9216 from 10000 gives 784.

Step 5: Bring down another 0 in the dividend place and continue the division process by determining how many times 1024 fits into this new dividend. The division process continues until the remainder becomes 0 or the desired decimal precision is achieved.

The answer for 1/1024 as a decimal will be 0.0009765625.