13/500 as a Decimal

Answer

13/500 in decimals can be written as 0.026. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 13/500 into a decimal, we will use the division method. Since 13 is smaller than 500, we will perform division using decimals. 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 (500) will be taken as the divisor.

Step 2: As 13 is smaller than 500, it can't be divided directly. Here we will use decimals. We will add 0 to the dividend, making 13 as 130 and adding a decimal point in the quotient place.

Step 3: Now that it is 130, we can divide it by 500. However, 130 is still smaller, so we continue the process.

Step 4: We will bring down another 0, making it 1300, and divide by 500. Let's see how many times 500 fits into 1300.

Step 5: 500 fits into 1300 two times (2 × 500 = 1000). We write 2 in the quotient place and subtract 1000 from 1300 to get 300.

Step 6: Bring down another 0 to make it 3000 and divide by 500 again. 500 fits into 3000 six times (6 × 500 = 3000). The division process ends with no remainder, making this a terminating decimal.

The answer for 13/500 as a decimal will be 0.026.

• 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.