3/100 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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: numerator (number on the top) here, 3 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 100. 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 those to the right represent the fractional part.

What is 3/100 as a decimal?

$3/100 as a decimal$

Answer

3/100 in decimals can be written as 0.03. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 3/100 in decimal, we will use the division method.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (3) will be taken as dividend and denominator (100) will be taken as divisor.

Step 2: As 3 is smaller than 100, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, which will make 3 as 30 and add a decimal point in the quotient place.

Step 3: Now that it is 30, we see how many times 100 goes into 30. Since 30 is less than 100, we add another 0, making it 300.

Step 4: 300 divided by 100 is 3. We will write 3 in the quotient place.

Step 5: The division process ends here with no remainder, making it a terminating decimal.

The answer for 3/100 as a decimal will be 0.03.

Important Glossaries for 3/100 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.