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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.