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.

• 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.