To determine which expression is equivalent to [tex]$5,000,000,000$[/tex], we can break down each of the given options and see if any of them are equal to [tex]$5,000,000,000$[/tex].
1. [tex]$5,000,000,000$[/tex]
Clearly, this is already in the form we are seeking. It’s equivalent to [tex]$5,000,000,000$[/tex].
2. [tex]$5 \times 1,000,000$[/tex]
Calculate this step-by-step:
[tex]\[
5 \times 1,000,000 = 5,000,000
\][/tex]
This equals [tex]$5,000,000$[/tex], which is not equivalent to [tex]$5,000,000,000$[/tex].
3. [tex]$5 \times 100,000,000$[/tex]
Calculate this step-by-step:
[tex]\[
5 \times 100,000,000 = 500,000,000
\][/tex]
This equals [tex]$500,000,000$[/tex], which is not equivalent to [tex]$5,000,000,000$[/tex].
4. [tex]$5 \times 1,000,000,000$[/tex]
Calculate this step-by-step:
[tex]\[
5 \times 1,000,000,000 = 5,000,000,000
\][/tex]
This equals [tex]$5,000,000,000$[/tex], which is the result we are seeking.
5. [tex]$5 \times 10,000,000$[/tex]
Calculate this step-by-step:
[tex]\[
5 \times 10,000,000 = 50,000,000
\][/tex]
This equals [tex]$50,000,000$[/tex], which is not equivalent to [tex]$5,000,000,000$[/tex].
Thus, the expression that is equivalent to [tex]$5,000,000,000$[/tex] is:
[tex]\[
5 \times 1,000,000,000
\][/tex]
