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……

• 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.

• Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.