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

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]

Options:

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 on the left with its equivalent number on the right.

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

To solve this, multiply 8,200 by 10. Multiplying by 10 means shifting all digits to the left by one place, which gives us 82,000.

So, [tex]$8,200 \times 10 = 82,000$[/tex].

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

To solve this, divide 820,000 by 10,000. Dividing by 10,000 means reducing the number of zeros or shifting the decimal point four places to the left. This results in 82.

So, [tex]$820,000 \div 10,000 = 82$[/tex].

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

To solve this, multiply 820 by 10,000. Multiplying by 10,000 means adding four zeros or shifting all digits to the left by four places, which gives us 8,200,000.

So, [tex]$820 \times 10,000 = 8,200,000$[/tex].

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

To solve this, divide 8,200 by 10. Dividing by 10 means reducing the number of zeros or shifting the decimal point one place to the left, resulting in 820.

So, [tex]$8,200 \div 10 = 820$[/tex].

Now let's match each expression with the equivalent value:

- [tex]$8,200 \times 10$[/tex] is equivalent to 82,000.
- [tex]$820,000 \div 10,000$[/tex] is equivalent to 82.
- [tex]$820 \times 10,000$[/tex] is equivalent to 8,200,000.
- [tex]$8,200 \div 10$[/tex] is equivalent to 820.