Match each expression on the left with its equivalent on the right. Some answer choices on the right will not be used.

Expressions:
1. [tex]$8,200 \times 10$[/tex]
2. [tex]$820,000 \div 10,000$[/tex]
3. [tex]$820 \times 10,000$[/tex]
4. [tex]$8,200 \div 10$[/tex]

Answer choices:
A. 82
B. 820
C. 8,200
D. 82,000
E. 820,000
F. [tex]$8,200,000$[/tex]

Sure, let's match each expression from the left with its equivalent expression from the right step-by-step:

1. Expression: [tex]$8,200 \times 10$[/tex]

- To find the equivalent expression, we multiply 8,200 by 10:
[tex]\[
8,200 \times 10 = 82,000
\][/tex]

Match: 82,000

2. Expression: [tex]$820,000 \div 10,000$[/tex]

- To find the equivalent expression, we divide 820,000 by 10,000:
[tex]\[
820,000 \div 10,000 = 82
\][/tex]

Match: 82

3. Expression: [tex]$820 \times 10,000$[/tex]

- To find the equivalent expression, we multiply 820 by 10,000:
[tex]\[
820 \times 10,000 = 8,200,000
\][/tex]

Match: 8,200,000

4. Expression: [tex]$8,200 \div 10$[/tex]

- To find the equivalent expression, we divide 8,200 by 10:
[tex]\[
8,200 \div 10 = 820
\][/tex]

Match: 820

So, the equivalent matches are:
- [tex]$8,200 \times 10$[/tex] matches [tex]$82,000$[/tex]
- [tex]$820,000 \div 10,000$[/tex] matches [tex]$82$[/tex]
- [tex]$820 \times 10,000$[/tex] matches [tex]$8,200,000$[/tex]
- [tex]$8,200 \div 10$[/tex] matches [tex]$820$[/tex]

And these are the correct matches for the given expressions!