8/3 as a Decimal

Answer

8/3 in decimal form is 2.66666… It is a recurring decimal, meaning it repeats the same digit infinitely.

Explanation

To convert 8/3 into a decimal, we will use the division method. Since 8 is larger than 3, we proceed with dividing directly. Here's a step-by-step breakdown:

Step 1: Identify the numerator and denominator. Here, the numerator (8) is the dividend, and the denominator (3) is the divisor.

Step 2: Divide 8 by 3. Since 8 is greater than 3, we divide directly.

Step 3: 3 goes into 8 two times (3 × 2 = 6). Write 2 in the quotient and subtract 6 from 8, leaving a remainder of 2.

Step 4: Bring down a 0 to make the remainder 20. Divide 20 by 3, which goes 6 times (3 × 6 = 18). Write 6 in the quotient and subtract 18 from 20, leaving a remainder of 2.

Step 5: Repeat the process by bringing down another 0 to again make it 20. This process will continue indefinitely, showing that 8/3 is a recurring decimal.

• Fraction: A numerical expression representing a part of a whole.
   
• Decimal: A number that uses the base ten system, including a decimal point to separate the whole number from the fractional part.
   
• Recurring Decimal: A decimal number that has one or more repeating digits after the decimal point.
   
• Numerator: The top part of a fraction, indicating the number of parts being considered.
   
• Divisor: The number by which another number is to be divided in a division operation.