Question

a shooting star traveled $1.3 \times 10^6$ kilometers in 5 hours at a constant rate. what is its speed, in kilometers per hour? \\(\circ\\) a. $1.3 \times 10^1$ \\(\circ\\) b. $2.6 \times 10^5$ \\(\circ\\) c. $3.8 \times 10^6$ \\(\circ\\) d. $6.3 \times 10^5$ reset next

Explanation:

Step1: Recall the speed formula

Speed is calculated by dividing distance by time, so the formula is \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \).

Step2: Substitute the given values

The distance is \( 1.3 \times 10^{6} \) kilometers and the time is 5 hours. So we have \( \text{Speed} = \frac{1.3 \times 10^{6}}{5} \).

Step3: Perform the division

First, divide 1.3 by 5: \( 1.3\div5 = 0.26 \). Then, we have \( 0.26\times10^{6} \). But we need to write this in proper scientific notation. Since \( 0.26 = 2.6\times10^{- 1} \), we multiply by \( 10^{6} \): \( 2.6\times10^{-1}\times10^{6}=2.6\times10^{5} \) (using the rule \( a^{m}\times a^{n}=a^{m + n} \), so \( - 1+6 = 5 \)).

Answer:

B. \( 2.6 \times 10^{5} \)