10/9 as a Decimal

Answer

10/9 in decimals can be written as 1.1111….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 10/9 in decimal, we will use the division method. Here, as 10 is larger than 9, we will perform regular division. 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 (9) will be taken as the divisor.

Step 2: 10 divided by 9 is 1 with a remainder of 1. We write 1 in the quotient place.

Step 3: As there is a remainder, we add a decimal point in the quotient and bring down a 0, making the remainder 10. Repeat the division process.

Step 4: 10 divided by 9 is 1 with a remainder of 1. Continue this process.

Step 5: The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 10/9 as a decimal will be 1.1111……

• 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.