-13/11 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, -13 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 11. A decimal is a way to represent a 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 -13/11 as a decimal?

$-13/11 as a decimal$ Answer

-13/11 in decimals can be written as -1.181818. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get -13/11 in decimal, we will use the division method. Here, since 13 is larger than 11, we proceed directly with division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (-13) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 2: Divide 13 by 11, which gives us 1 as the whole number.

Step 3: Subtract 11 from 13 to get a remainder of 2.

Step 4: Bring down a 0 to make the remainder 20. Divide 20 by 11 to get 1.

Step 5: Subtract 11 from 20 to get a remainder of 9. Bring down another 0 to make it 90, then divide 90 by 11 to get 8.

Step 6: Subtract 88 from 90 to get a remainder of 2. Repeat the steps as the process continues, showing the repeating pattern. The division process continues, and we don't get the remainder as 0, indicating a recurring decimal.

The answer for -13/11 as a decimal will be -1.181818.

Important Glossaries for -13/11 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.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.
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.