1/128 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 of the whole. It has two parts: the numerator (number on the top), here, 1, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 128. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 1/128 as a decimal?

$1/128 as a decimal$

Answer

1/128 in decimals can be written as 0.0078125. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To get 1/128 in decimal, we will use the division method. Here, as 1 is smaller than 128, we use the decimal method to get 0.0078125. 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 (128) will be taken as the divisor.

Step 2: As 1 is smaller than 128, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which makes 1 as 10, and add a decimal point in the quotient place.

Step 3: Continue adding zeros to the dividend until it is large enough to be divided by 128.

Step 4: 1000 divided by 128 gives approximately 7.8125.

The quotient is 0.0078125.

Important Glossaries for 1/128 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.