What Is 2/100 as a Decimal + Solution With Free Steps
The fraction 2/100 as a decimal is equal to 0.02.
When we divide two numbers from each other, their resulting values can be represented in two forms that are either fractional or decimal form. These forms are interchangeable and we can change a fractional value into the decimal form using the long division process.
Here, we are interested more in the types of division that results in a Decimal value, as this can be expressed as a Fraction. We see fractions as a way of showing two numbers having the operation of Division between them that result in a value that lies between two Integers.
Now, we introduce the method used to solve said fraction to decimal conversion, called Long Division which we will discuss in detail moving forward. So, let’s go through the Solution of fraction 2/100.
Solution
First, we convert the fraction components i.e., the numerator and the denominator, and transform them into the division constituents i.e., the Dividend and the Divisor respectively.
This can be seen done as follows:
Dividend = 2
Divisor = 100
Now, we introduce the most important quantity in our process of division, this is the Quotient. The value represents the Solution to our division, and can be expressed as having the following relationship with the Division constituents:
Quotient = Dividend $\div$ Divisor = 2 $\div$ 100
This is when we go through the Long Division solution to our problem. Given below is the long division of fraction 2/100 in Figure:
2/100 Long Division Method
We start solving a problem using the Long Division Method by first taking apart the division’s components and comparing them. As we have 2, and 100 we can see how 2 is Smaller than 100, and to solve this division we require that 2 be Bigger than 100.
This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. If it is then we calculate the Multiple of the divisor which is closest to the dividend and subtract it from the Dividend. This produces the Remainder which we then use as the dividend later.
Now, we begin solving for our dividend 2, which after getting multiplied by 10 becomes 20. Since this is still smaller than 100, we multiply it again with 10 to get 200 and add a 0 after the decimal to the quotient.
We take this 100 and divide it by 2, this can be seen done as follows:
200 $\div$ 100 $\approx$ 2
Where:
100 x 2 = 200
This will lead to the generation of a Remainder equal to 200 – 200 = 0.
Finally, we have a Quotient generated as 0.02, with a Remainder equal to 0.
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