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.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• 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 and does not repeat infinitely.