43/500 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: the numerator (number on the top), here 43, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 500. 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 43/500 as a decimal?

$43/500 as a decimal$

Answer

43/500 in decimals can be written as 0.086. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 43/500 into a decimal, we will use the division method. Here, 43 is smaller than 500, so we will take help from the decimal method, which gives us 0.086.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (43) will be taken as the dividend, and the denominator (500) will be taken as the divisor.

Step 2: As 43 is smaller than 500, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 43 as 430 and add a decimal point in the quotient place.

Step 3: Now that it is 430, we must divide it by 500. Since 430 is still smaller than 500, we bring down another 0, making it 4300.

Step 4: Divide 4300 by 500. The result is 8 with a remainder of 300 (since 500 x 8 = 4000; 4300 - 4000 = 300).

Step 5: Bring down another 0 in the dividend place to make it 3000. Divide 3000 by 500 to get 6, with no remainder. This division process ends with no remainder, indicating it is a terminating decimal.

The answer for 43/500 as a decimal is 0.086.

Important Glossaries for 43/500 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.