271/100 as a decimal

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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, 271 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 100. 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 271/100 as a decimal?

$271/100 as a decimal$ Answer

271/100 in decimals can be written as 2.71. It is a terminating decimal, indicating that the decimal representation ends after a finite number of digits.

Explanation

To convert 271/100 to a decimal, we will use the division method. Here, as 271 is larger than 100, 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 the numerator (271) will be taken as the dividend and the denominator (100) will be taken as the divisor.

Step 2: Perform the division of 271 by 100.

Step 3: 100 goes into 271 two times (100 x 2 = 200), so we write 2 in the quotient place. Subtract 200 from 271 to get 71.

Step 4: Bring down the next digit (if any) or, in this case, consider the decimal point.

Step 5: Since we have 71, and 100 can be divided into 710 seven times (100 x 7 = 700), write 7 in the decimal place of the quotient. Subtract 700 from 710 to get 10.

Step 6: As there are no more digits to bring down, the division process gives us a remainder of 10. We can add another 0 to get 100 and divide it by 100 once more to get the final digit 1 in the second decimal place, making the quotient 2.71.

The answer for 271/100 as a decimal will be 2.71.

Important Glossaries for 271/100 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.