An asteroid is heading toward mars at the rate of 7.7 x 10^4 miles per hour. If the asteroid is 3.311 x 10^8 miles away from Mars, how many hours will it be before it hits Mars? Write in scientific notation, expressed to the exact decimal please!

Answer 1

To determine how many hours it will take for the asteroid to hit Mars, we can use the formula:

\[ \text{time} = \frac{\text{distance}}{\text{speed}} \]

Given:

• Distance = \(3.311 \times 10^8\) miles
• Speed = \(7.7 \times 10^4\) miles per hour

Now, we can calculate the time:

\[ \text{time} = \frac{3.311 \times 10^8 \text{ miles}}{7.7 \times 10^4 \text{ miles per hour}} \]

To simplify the calculation, we'll divide the coefficients and subtract the exponents:

\[ \text{time} = \frac{3.311}{7.7} \times 10^{8 - 4} \]

Calculating the coefficient:

\[ \frac{3.311}{7.7} \approx 0.4301 \]

Now, subtracting the exponents:

\[ 10^{8 - 4} = 10^{4} \]

Putting it all together:

\[ \text{time} \approx 0.4301 \times 10^{4} \]

Now, we convert \(0.4301 \times 10^{4}\) into scientific notation:

\[ 0.4301 \times 10^{4} = 4.301 \times 10^{3} \]

So the time it will take before the asteroid hits Mars is approximately:

\[ \boxed{4.301 \times 10^{3}} \text{ hours} \]

Answer 2

What is 4.301 x 10^3?

Answer 3

To convert \(4.301 \times 10^3\) into standard decimal notation, you multiply \(4.301\) by \(1000\) (since \(10^3 = 1000\)):

\[ 4.301 \times 10^3 = 4.301 \times 1000 = 4301 \]

Therefore, \(4.301 \times 10^3\) is equal to 4301.

Answer 4

Thanks, I don't know if it was correct as I'm not done with my test but thanks for your help on the other question!

Answer 5

You're welcome! I'm glad I could help with your question. If you have any more questions or need further assistance while you complete your test, feel free to ask. Good luck, and I'm here to help whenever you need it!