1/200 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, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 200. 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 fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 1/200 as a decimal?

$1/200 as a decimal$ Answer

1/200 in decimals can be written as 0.005. It is a terminating decimal, meaning it ends after a finite number of digits.

Explanation

To get 1/200 in decimal, we will use the division method. Here as 1 is smaller than 200, we will take help of the decimal method which will give us 0.005. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (200) will be taken as the divisor.

Step 2: As 1 is smaller than 200, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now, 10 is still smaller than 200. We add another 0, making it 100.

Step 4: 100 is still smaller than 200. We add another 0, making it 1000.

Step 5: 200 goes into 1000 exactly 5 times (200 × 5 = 1000). We write 5 in the quotient place. The division process ends here with no remainder, making it a terminating decimal.

The answer for 1/200 as a decimal will be 0.005.

Important Glossaries for 1/200 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 after a finite number of digits.