-10/3 as a Decimal

Answer

-10/3 in decimals can be written as -3.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get -10/3 in decimal, we will use the division method. Here as 10 is larger than 3, we will perform normal division which will give us -3.3333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (-10) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: Divide 10 by 3. Let's see how many times 3 goes into 10.

Step 3: 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 to get 1.

Step 4: 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.

The answer for -10/3 as a decimal will be -3.3333……

• 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.

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

• Recurring Decimal: A decimal in which one or more digits repeat infinitely.