Which is true about x, the quotient of the division problem shown below?

918 divided by 81 = x
The quotient contains a repeating decimal.
The quotient contains a terminating decimal.
The quotient is a whole number less than 11.
The quotient is a whole number greater than 11.

1 answer

To find \( x \), we need to calculate \( 918 \div 81 \).

First, we can perform the division:

\[ 918 \div 81 = 11.3333\ldots \]

The decimal \( 11.3333\ldots \) is \( 11 \) with a repeating decimal of \( 3 \).

From the options provided:

  1. The quotient contains a repeating decimal. - This is true because \( 11.3333\ldots \) has a repeating decimal.
  2. The quotient contains a terminating decimal. - This is false because it does not terminate.
  3. The quotient is a whole number less than 11. - This is false because \( 11.3333\ldots \) is greater than 11.
  4. The quotient is a whole number greater than 11. - This is false since \( 11.3333\ldots \) is not a whole number.

Thus, the only true statement about \( x \) is that the quotient contains a repeating decimal.