-8/3 as a Decimal

Answer

-8/3 in decimals can be written as -2.66666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get -8/3 in decimal, we will use the division method. Here as 8 is larger than 3, we will directly divide. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator (-8) and denominator (3) because the numerator will be taken as the dividend and the denominator as the divisor.

Step 2: Divide 8 by 3. Since 8 is not a multiple of 3, find how many times 3 fits into 8, which is 2 times. 3 × 2 = 6.

Step 3: Subtract 6 from 8, which gives a remainder of 2.

Step 4: Bring down a 0 to make it 20, and continue dividing by 3.

Step 5: 3 fits into 20, 6 times. 3 × 6 = 18. Subtract 18 from 20, which gives a remainder of 2.

Step 6: Repeat the process with the remainder, bringing down another 0 each time. The division process continues with the remainder never becoming 0, showing that -8/3 is a recurring decimal -2.6666……

• 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, which can be a positive or negative integer.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Recurring Decimal: A decimal that has digits that repeat infinitely after a certain point.