10/33 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 of the whole. It has two parts: the numerator (the number on the top), here 10, which represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 33. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 10/33 as a decimal?

$10/33 as a decimal$

Answer

10/33 in decimals can be written as 0.30303….. It is a recurring decimal, indicating it will repeat the same sequence of digits infinitely.

Explanation

To convert 10/33 into 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 the numerator (10) will be taken as the dividend and the denominator (33) will be taken as the divisor.

Step 2: As 10 is smaller than 33, it can't be divided directly; here, we will take the help of decimals. We will add 0 to the dividend, turning 10 into 100, and add a decimal point in the quotient place.

Step 3: Now that it is 100, we can divide it by 33. Let's see how many times 33 fits into 100.

Step 4: 100 is not a multiple of 33, so we will look for the nearest number, which is 33 × 3 = 99. We write 3 in the quotient place, subtract 99 from 100 to get 1.

Step 5: Bring down another 0 in the dividend place, making it 10, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 10/33 as a decimal is 0.30303……

Important Glossaries for 10/33 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.
Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.