13/250 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 from 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 250. A decimal is a way to represent the 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 13/250 as a decimal?

$13/250 as a decimal$

Answer

13/250 in decimal can be written as 0.052. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 13/250 in decimal, we will use the division method. Here as 13 is smaller than 250, we will take the help of the decimal method which will give us 0.052. 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 (250) will be taken as the divisor.

Step 2: As 13 is smaller than 250, it can't be divided directly, so we add a decimal point in the quotient and add zeros to the dividend.

Step 3: We make 13 as 1300 and divide it by 250. Let's see how many times 250 goes into 1300.

Step 4: 250 × 5 = 1250 is the closest we can get without exceeding 1300. We write 5 in the quotient place and subtract 1250 from 1300, giving 50.

Step 5: Bring down another 0 to make it 500 and divide 500 by 250. 250 goes into 500 exactly 2 times.

The division process gives us the terminating decimal 0.052.

Important Glossaries for 13/250 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.