-3 1/3 as a Decimal

Answer

-3 1/3 as a decimal can be written as -3.33333. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert -3 1/3 to a decimal, we will separate the whole number from the fraction and convert the fraction to a decimal.

Step 1: Identify the whole number and the fraction. Here, the whole number is -3, and the fraction is 1/3.

Step 2: Convert 1/3 to a decimal by using division. As 1 is smaller than 3, we will use the decimal method, which results in 0.3333.

Step 3: Let's see the step by step breakdown of the process: - Identify the numerator and denominator; the numerator (1) will be taken as the dividend, and the denominator (3) will be the divisor. - As 1 is smaller than 3, it can't be divided, so we use decimals. We add 0 to the dividend, making 1 as 10 and add a decimal point in the quotient. - Now 10 can be divided by 3. Let's see how many times 3 makes 10. - 10 is not a multiple of 3, so we look for the nearest number: 3 × 3 = 9. - Write 3 in the quotient place and subtract 9 from 10, giving 1. - Bring down another 0 in the dividend place and make 1 as 10, then repeat the division process. - The division process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

Step 4: Combine the whole number and the decimal part. The answer for -3 1/3 as a decimal will be -3.333.

• Mixed Number: A number made up of 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 one or more digits repeat infinitely.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.