IDNLearn.com makes it easy to find accurate answers to your specific questions. Join our community to receive prompt and reliable responses to your questions from experienced professionals.

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}


Sagot :

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.