1/256 as a Decimal

Answer

1/256 in decimals can be written as 0.00390625. It is a terminating decimal, showing it ends without repeating infinitely.

Explanation

To get 1/256 in decimal, we will use the division method. Here as 1 is smaller than 256, we will use the decimal method which will give us 0.00390625. 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 (256) will be taken as the divisor.

Step 2: As 1 is smaller than 256, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, which will make 1 as 10,000 and add a decimal point in the quotient place.

Step 3: Now that it is 10,000, we can divide it by 256.

Step 4: 256 goes into 10,000 a total of 39 times, with a remainder, so we continue the division process further.

Step 5: Continue the division until the remainder is 0. The division process will give us the decimal result.

The answer for 1/256 as a decimal will be 0.00390625.

• 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.