1/256 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 (number on the top) here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 256. 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 that to the right represents the fractional part.

What is 1/256 as a decimal?

$1/256 as a decimal$

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.

Important Glossaries for 1/256 as a decimal

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.