​Which of the following is closest to zero?​

Correct option is D

Solution:

By option (a),

​$$1 - (0.09)^2$$

1 − 0.0081

= 0.9919

By option (b),

​$$(1−0.09) ^2$$

​​$$(0.91)^2$$

= 0.8281

By option (c),

0.009

This is already given as $0.009$.

By option (d),

​$$(0.09)^2$$

= 0.0081​

Hence, The number (0.0081) is closest to zero.

Thus, option (d) is correct.