1/512 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn about fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), here 1, representing how many parts out of the whole are considered. The denominator (number below) shows how many parts make the whole, here it is 512. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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 1/512 as a decimal?

$1/512 as a decimal$

Answer

1/512 in decimals can be written as 0.001953125.

Explanation

To convert 1/512 into a decimal, we will use the division method. Since 1 is smaller than 512, we will use the decimal method which will give us 0.001953125. 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 (512) will be taken as the divisor.

Step 2: As 1 is smaller than 512, it can't be divided directly, so we will take the help of decimals. We add 0s to the dividend, which will allow us to perform the division, and we place a decimal point in the quotient.

Step 3: Now we can divide 1000 by 512. Let's see how many times 512 makes 1000.

Step 4: 512 goes into 1000 once, so we write 1 in the quotient place and subtract 512 from 1000 to get 488.

Step 5: Bring down another 0 to make it 4880 and repeat the division process. The division process continues until the remainder is 0 or we reach the desired number of decimal places.

The answer for 1/512 as a decimal will be 0.001953125.

Important Glossaries for 1/512 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.
Division Method: A technique used to convert a fraction to a decimal by dividing the numerator by the denominator.