Select all the expressions that could be used to find $$ 80 \% $$ of $$ x $$. Be prepared to explain your reasoning.

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To find $$ 80\% $$ of $$ x $$, we can express this mathematically. The percentage can be converted into a decimal by dividing by $$ 100 $$. Therefore, $$ 80\% $$ can be expressed as $$ 0.80 $$.

The expression to find $$ 80\% $$ of $$ x $$ can be written as:

$$
0.80 \cdot x
$$

Alternatively, we can also express $$ 80\% $$ as a fraction:

$$
\frac{80}{100} \cdot x
$$

This fraction can be simplified to:

$$
\frac{4}{5} \cdot x
$$

Thus, the following expressions can be used to find $$ 80\% $$ of $$ x $$:

1. $$ 0.80 \cdot x $$
2. $$ \frac{80}{100} \cdot x $$
3. $$ \frac{4}{5} \cdot x $$

In summary, any of these expressions will yield the same result when calculating $$ 80\% $$ of $$ x $$.
To find $$ 80\% $$ of $$ x $$, you can use the following expressions: 1. $$ 0.80 \times x $$ 2. $$ \frac{80}{100} \times x $$ 3. $$ \frac{4}{5} \times x $$ All these expressions will give you $$ 80\% $$ of $$ x $$.

Select all the expressions that could be used to find \( 80 \% \) of \( x \). Be prepared to explain your reasoning.

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