100/11 as a Decimal

Professor Greenline Explaining Math Concepts

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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: numerator (number on the top), here, 100 represents how many parts are taken from the whole. The denominator (number below) shows how many parts make up the whole, here it is 11. 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 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 100/11 as a decimal?

$100/11 as a decimal$

Answer

100/11 in decimals can be written as 9.090909... It is a recurring decimal, showing it will repeat the same pattern of digits infinitely.

Explanation

To get 100/11 in 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 (100) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 2: Divide 100 by 11. The first whole number we get is 9 since 11 multiplied by 9 gives 99. Write 9 in the quotient place.

Step 3: Subtract 99 from 100, which gives 1.

Step 4: Bring down a 0 to make it 10. Divide 10 by 11, which gives 0 in the quotient place as 11 cannot go into 10.

Step 5: Bring down another 0 to make it 100, then repeat the division process. Divide 100 by 11, which results in 9, since 9 times 11 is 99. Subtract to get 1, and continue this process. The division process continues with the same pattern: 9.090909... This process is called a recurring decimal.

The answer for 100/11 as a decimal will be 9.090909...