200/3 as a Decimal

Answer

200/3 as a decimal can be written as 66.66666… It is a recurring decimal, indicating that it repeats the same digit indefinitely.

Explanation

To convert 200/3 to a decimal, we use the division method. Since 200 is larger than 3, we proceed with the division. Here's a step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (200) will be the dividend and the denominator (3) will be the divisor.

Step 2: Divide 200 by 3. Determine how many times 3 goes into 20. It goes 6 times because 3 x 6 = 18.

Step 3: Subtract 18 from 20, leaving a remainder of 2. Bring down the next 0 from 200, making it 20.

Step 4: Divide 20 by 3 again. It goes 6 times, as 3 x 6 = 18. Subtract 18 from 20, leaving another remainder of 2.

Step 5: Continue this process, bringing down 0s and dividing by 3, which results in a recurring decimal pattern of 6.

The answer for 200/3 as a decimal is 66.6666…

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses 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.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.