Complete the table. The table shows the approximate number of stacked pennies needed to reach the height of a given object.

\begin{tabular}{|c|c|c|c|c|}
\hline
& \multicolumn{4}{|c|}{Approximate Number of Stacked Pennies} \\
\hline
& Standard Form & Unit Form & \begin{tabular}{l}
Single Digit \\ Times a \\ Power of 10 \\ (expanded form)
\end{tabular} & \begin{tabular}{l}
Single Digit \\ Times a \\ Power of 10 \\ (exponential form)
\end{tabular} \\
\hline
Mount Everest & [tex]$6,000,000$[/tex] & & & \\
\hline
\begin{tabular}{l}
Empire \\ State Building
\end{tabular} & 300,000 & & & \\
\hline
\end{tabular}



Answer :

Let's complete the table step by step for each column and object given.

### 1. Mount Everest

Standard Form:
The number of stacked pennies needed to reach the height of Mount Everest in standard form is:
[tex]\[ 6,000,000 \][/tex]

Unit Form:
The unit form is the same as the standard form, written as:
[tex]\[ 6,000,000 \][/tex]

Single Digit Times a Power of 10 (Expanded Form):
In expanded form, this is written as a single digit times a power of 10:
[tex]\[ 6 \times 10^6 \][/tex]

Single Digit Times a Power of 10 (Exponential Form):
In exponential form, this is:
[tex]\[ 6 \times 10^6 \][/tex]
Or using scientific notation:
[tex]\[ 6e6 \][/tex]
However, we'll use the formatting:
[tex]\[ 6,000,000.0 \][/tex]

### 2. Empire State Building

Standard Form:
The number of stacked pennies needed to reach the height of the Empire State Building in standard form is:
[tex]\[ 300,000 \][/tex]

Unit Form:
The unit form is the same as the standard form, written as:
[tex]\[ 300,000 \][/tex]

Single Digit Times a Power of 10 (Expanded Form):
In expanded form, this is written as a single digit times a power of 10:
[tex]\[ 3 \times 10^5 \][/tex]

Single Digit Times a Power of 10 (Exponential Form):
In exponential form, this is:
[tex]\[ 3 \times 10^5 \][/tex]
Or using scientific notation:
[tex]\[ 3e5 \][/tex]
However, we'll use the formatting:
[tex]\[ 300,000.0 \][/tex]

### Completed Table
Here's the completed table with all the forms filled in:

[tex]\[ \begin{array}{|c|c|c|c|c|} \hline & \multicolumn{4}{|c|}{\text{Approximate Number of Stacked Pennies}} \\ \hline & \text{Standard Form} & \text{Unit Form} & \text{Single Digit Times a Power of 10 (expanded form)} & \text{Single Digit Times a Power of 10 (exponential form)} \\ \hline \text{Mount Everest} & 6,000,000 & 6,000,000 & 6 \times 10^6 & 6,000,000.0 \\ \hline \text{Empire State Building} & 300,000 & 300,000 & 3 \times 10^5 & 300,000.0 \\ \hline \end{array} \][/tex]

This table captures the approximate number of stacked pennies needed to match the heights of Mount Everest and the Empire State Building in various forms.