What Is 3/100 as a Decimal + Solution With Free Steps

3by100 As A Decimal

The fraction 3/100 as a decimal is equal to 0.03.

Converting 3/100 into a decimal number can be done simply using a calculator or by solving using a conventional long division method. Conversion of fractions into decimals is one of the easiest things to do.

Here, the question arises why fractions are needed to be converted into decimals. The answer is pretty straightforward. Decimal numbers are easiest to represent and are widely used in our daily life calculations, such as measuring quantities or dealing with currencies.

Moreover, the arithmetic operations such as addition, subtraction, multiplication, and division can be easily performed on decimal numbers compared to fractions. It is also easier to understand and comprehend the concepts with decimal numbers.

This lesson will discuss converting the fraction 3/100 into its decimal equivalent using the long division method.

Solution

Before digging into the solution of fraction 3/100, let us first understand the concept of numerator and denominator. A fraction can be represented as:

(numerator)/ (denominator) = p/q

This shows that p is the numerator and q is the denominator, with the interpretation that the numerator is divided by the denominator. The numerator is also classified as the dividend and the denominator as the divisor in the division.

The dividend and the divisor of the given fraction are classified as:

Dividend = 3

Divisor = 100

The division is shown below in figure 1:

3 100 as decimal

Figure 1

3/100 Long Division Method

The long division method involves the division operation to convert the given fraction 3/100 into its decimal equivalent. It is the traditional and easiest technique to convert fractions into decimals. The division process can be expressed as below:

Dividend ÷ Divisor = Quotient

Dividend ÷ Divisor = 3 ÷  100

The division has four significant components a dividend, divisor, quotient, and remainder. To start the division, firstly add a zero to 3 as three is smaller than 100, and division is impossible.

The number 3 now becomes 30, and a decimal point is added to the quotient to compensate for the added zero to the dividend. But 30 is still smaller than 100; therefore, adding another zero to make it equivalent to 300 is bigger than 100. We have to add a zero to the quotient for adding an extra zero.

Now the dividend is 300, whereas the divisor is 100. Dividing 300 by 100 gives:

Dividend ÷ Divisor = 3oo ÷  100

Dividend ÷ Divisor = 3

The remainder, in this case, is zero:

300 – 300 = 0

Hence, the division stops here. The decimal equivalent of the fraction 3/100 is 0.03. It has two decimal places, with two digits after the decimal point. Since the division stops and has a finite number of digits after the decimal point, it is called a terminating or non-recurring decimal.

3 100

Images/mathematical drawings are created with GeoGebra.

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