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. 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 fits into 10.

Step 3: 3 × 3 = 9, which is the nearest multiple of 3 less than 10.

Step 4: Write 3 in the quotient place and subtract 9 from 10, which gives 1.

Step 5: Bring down a 0 to make it 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 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 a digit or group of digits repeats infinitely.