8 1/3 as a Decimal

Answer

8 1/3 in decimals can be written as 8.33333… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 8 1/3 to a decimal, we first convert the fractional part (1/3) to a decimal. Here's the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (1) will be taken as the dividend, and the denominator (3) will be taken as the divisor.

Step 2: As 1 is smaller than 3, it can't be divided directly. We use the decimal method by adding 0 to the dividend, making it 10, and adding a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 3. Determine how many times 3 fits into 10.

Step 4: 10 is not a multiple of 3, so find the nearest number, which is 3 × 3 = 9. Write 3 in the quotient place and subtract 9 from 10, leaving 1.

Step 5: Bring down another 0 in the dividend place, making it 10, and repeat the division process. The division process continues, never reaching a remainder of 0, resulting in a recurring decimal. Thus, 1/3 as a decimal is 0.3333…

Finally, add this to the whole number 8, resulting in 8.3333…

• Mixed Number: A number that combines a whole number and a fraction.
   
• 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.
   
• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
   
• Division: The process of determining how many times one number is contained within another.