3/4000 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, 3 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4000. 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 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 3/4000 as a decimal?

$3/4000 as a decimal$ Answer

3/4000 in decimals can be written as 0.00075. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 3/4000 in decimal, we will use the division method. Here, as 3 is smaller than 4000, we will use decimals to find the value. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (4000) will be taken as the divisor.

Step 2: As 3 is smaller than 4000, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 3 as 30, and add a decimal point in the quotient place.

Step 3: Continue adding zeros to the dividend until it becomes a number that can be divided by 4000. In this case, 30000 can be divided by 4000.

Step 4: 30000 divided by 4000 gives 7 with a remainder of 2000.

Step 5: Bring down another 0 to make it 20000 and continue the division process. 20000 divided by 4000 gives 5, with no remainder. The division process concludes, as we get a remainder of 0.

The answer for 3/4000 as a decimal will be 0.00075.