-2 1/3 as a Decimal

Answer

-2 1/3 in decimals can be written as -2.33333….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get -2 1/3 in decimal form, we will use the division method for the fractional part. The whole part is already -2. For the fractional part, 1/3, we will convert it to a decimal.

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

Step 2: As 1 is smaller than 3, it can't be divided; hence, we will use decimals. We will add 0 to the dividend, making 1 as 10 and adding a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 3. Let's see how many times 3 fits into 10.

Step 4: 10 is not a multiple of 3, so we will look for the nearest number that is 3 × 3 = 9. We will write 3 in the quotient place and subtract 9 from 10, which gives 1.

Step 5: Bring down another 0 in the dividend place, making 1 as 10, and then repeat the division process. This division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for -2 1/3 as a decimal will be -2.3333……

• Mixed Number: A number consisting of an integer and a proper fraction.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• Dividend: The number to be divided in a division operation.
   
• Divisor: The number by which another number is divided.
   
• Whole Number: A number without fractions; an integer.