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.

• 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.