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 100[/tex]
2. [tex]820,000 \div 10[/tex]
3. [tex]820 \times 10[/tex]
4. [tex]82,000 \div 1,000[/tex]

Equivalents:

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

Certainly! Let's match each expression on the left with its equivalent value on the right, step by step:

1. Expression: [tex]\(8,200 \times 100\)[/tex]

- Calculation: Multiply 8,200 by 100.
- Result: 820,000
- Equivalent Value on the Right: 820,000

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

- Calculation: Divide 820,000 by 10.
- Result: 82,000
- Equivalent Value on the Right: 82,000

3. Expression: [tex]\(820 \times 10\)[/tex]

- Calculation: Multiply 820 by 10.
- Result: 8,200
- Equivalent Value on the Right: 8,200

4. Expression: [tex]\(82,000 \div 1,000\)[/tex]

- Calculation: Divide 82,000 by 1,000.
- Result: 82
- Equivalent Value on the Right: 82

So, the matches are:

- [tex]\(8,200 \times 100\)[/tex] matches with 820,000
- [tex]\(820,000 \div 10\)[/tex] matches with 82,000
- [tex]\(820 \times 10\)[/tex] matches with 8,200
- [tex]\(82,000 \div 1,000\)[/tex] matches with 82

These are the step-by-step solutions for matching each expression with its equivalent value.