Question

Find whether the following is terminating or a non-terminating decimal:

$7÷11$.

• A. Terminating
• B. Non-terminating
• C. Ambiguous
• D. Data insufficient
  

Answer 1

The correct option is B Non-terminating

While expressing a fraction in the decimal form, when we perform division we get some remainder.

If the division process does not end, i.e. when the remainder never becomes zero, then such decimal is known as non-terminating decimal.
Here, $7$ when divided by $11$ gives $\mathrm{0.636363636363...}$ and the decimal expansion never ends.

Therefore, this is a case of the non-terminating decimal.