-1/3 as a Decimal

Answer

-1/3 in decimals can be written as -0.33333….. It is a recurring decimal, meaning it will repeat the same digit infinitely.

Explanation

To convert -1/3 to a decimal, we will use the division method. Since 1 is smaller than 3, we will use decimals to help us, resulting in -0.3333. Let's see the step-by-step breakdown of the process:

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: Since 1 is smaller than 3, it can't be divided. Here, we will use decimals. We will add 0 to the dividend, making 1 into 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, which is 3 × 3 = 9. We will write 3 in the quotient place and subtract 9 from 10, giving 1.

Step 5: Bring down another 0 in the dividend place, make 1 into 10, and 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.

The answer for -1/3 as a decimal will be -0.3333……

• 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; negative if the fraction represents a negative value.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.