200/3 as a Decimal

Professor Greenline Explaining Math Concepts

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It is a simple question on decimal conversion. Firstly, we must understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top), which in this case is 200, indicating how many parts of the whole are being considered. The denominator (the number below) shows how many parts make up the whole, which here is 3. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.

What is 200/3 as a decimal?

$200/3 as a decimal$

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…

Important Glossaries for 200/3 as a decimal

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.