__Category__: Algebra, Arithmetic"Published in Newark, California, USA"

Evaluate

without using a calculator.

__Solution__:

Consider the given number

Rewrite and expand the given number as follows

It is better to convert the decimal number into its equivalent fraction for the given number

Next, use the Binomial Theorem to expand the given number as follows

Get the Least Common Denominator (LCD) for all the fractions and simplify as follows

Convert the fraction into its equivalent decimal number as follows

Therefore,

__Check__:

If you will use a scientific calculator,

which is almost the same as the final answer.