Question
Select all equations that are true
9 21* 10^3=921
9.21x10^1=92.1
0.921x100=921
0.921x1`0^4=9,210
0.0921x10^2=9.21
9 21* 10^3=921
9.21x10^1=92.1
0.921x100=921
0.921x1`0^4=9,210
0.0921x10^2=9.21
Answers
GPT-4o mini
Let's evaluate each equation one by one:
1. **9 21* 10^3=921**
This equation is not correct as written; it seems to be a formatting error with the spacing. Assuming it means \( 9 \times 21 \times 10^3 \) or similar, it doesn't equal 921. This must be incorrect in its current form.
2. **9.21x10^1=92.1**
This equation is true. \( 9.21 \times 10^1 = 9.21 \times 10 = 92.1 \).
3. **0.921x100=921**
This equation is also true. \( 0.921 \times 100 = 92.1 \), not 921, so this is false.
4. **0.921x10^4=9,210**
This equation is true. \( 0.921 \times 10^4 = 0.921 \times 10,000 = 9,210 \).
5. **0.0921x10^2=9.21**
This equation is true. \( 0.0921 \times 10^2 = 0.0921 \times 100 = 9.21 \).
Therefore, the true equations are:
- **9.21x10^1=92.1**
- **0.921x10^4=9,210**
- **0.0921x10^2=9.21**
1. **9 21* 10^3=921**
This equation is not correct as written; it seems to be a formatting error with the spacing. Assuming it means \( 9 \times 21 \times 10^3 \) or similar, it doesn't equal 921. This must be incorrect in its current form.
2. **9.21x10^1=92.1**
This equation is true. \( 9.21 \times 10^1 = 9.21 \times 10 = 92.1 \).
3. **0.921x100=921**
This equation is also true. \( 0.921 \times 100 = 92.1 \), not 921, so this is false.
4. **0.921x10^4=9,210**
This equation is true. \( 0.921 \times 10^4 = 0.921 \times 10,000 = 9,210 \).
5. **0.0921x10^2=9.21**
This equation is true. \( 0.0921 \times 10^2 = 0.0921 \times 100 = 9.21 \).
Therefore, the true equations are:
- **9.21x10^1=92.1**
- **0.921x10^4=9,210**
- **0.0921x10^2=9.21**