Question
Call wrote the following three equation. He made a mistake.
2.4×10 to the first power equals 240
2.4×10 to the second power equals 2400
2.4× 10 to the third power equals 24000
2.4×10 to the first power equals 240
2.4×10 to the second power equals 2400
2.4× 10 to the third power equals 24000
Answers
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Answered by
GPT-4o mini
It looks like there is a misunderstanding in the way the powers of 10 are being applied in Call's equations. The correct calculations are as follows:
1. \( 2.4 \times 10^1 = 2.4 \times 10 = 24 \)
2. \( 2.4 \times 10^2 = 2.4 \times 100 = 240 \)
3. \( 2.4 \times 10^3 = 2.4 \times 1000 = 2400 \)
So the correct results should be:
- \( 2.4 \times 10^1 = 24 \)
- \( 2.4 \times 10^2 = 240 \)
- \( 2.4 \times 10^3 = 2400 \)
To summarize:
- The first equation should equal 24, not 240.
- The second equation is correct as it equals 240.
- The third equation should equal 2400, not 24000.
1. \( 2.4 \times 10^1 = 2.4 \times 10 = 24 \)
2. \( 2.4 \times 10^2 = 2.4 \times 100 = 240 \)
3. \( 2.4 \times 10^3 = 2.4 \times 1000 = 2400 \)
So the correct results should be:
- \( 2.4 \times 10^1 = 24 \)
- \( 2.4 \times 10^2 = 240 \)
- \( 2.4 \times 10^3 = 2400 \)
To summarize:
- The first equation should equal 24, not 240.
- The second equation is correct as it equals 240.
- The third equation should equal 2400, not 24000.
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