100/3 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 fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 100 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 3. 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 that to the right represents the fractional part.

What is 100/3 as a decimal?

$100/3 as a decimal$

Answer

100/3 in decimals can be written as 33.3333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 100/3 in decimal, we will use the division method. Here as 100 is larger than 3, we can directly perform the division. Let's see the step-by-step breakdown of the process.

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

Step 2: Divide 100 by 3. We can see how many times 3 fits into 100.

Step 3: 3 fits into 100, 33 times as 3 × 33 = 99. We will write 33 in the quotient place.

Step 4: Subtract 99 from 100 to get a remainder of 1.

Step 5: Bring down a 0 to the remainder, making it 10, and continue the division process.

Step 6: 3 goes into 10 three times, giving us another 9 when multiplied, leaving a remainder of 1. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 100/3 as a decimal will be 33.3333……