3) A particle traveled a distance of 9 9times 10^12 meters at a rate of 1.8times 10^5 meters per second. If distance=rate times time how many seconds did it take the particle to travel the specified distance?Write your answer in scientific notation.

To find the time it took the particle to travel the specified distance, we can rearrange the formula for distance to solve for time:<br /><br />\[ \text{time} = \frac{\text{distance}}{\text{rate}} \]<br /><br />Given:<br />- Distance = \( 9 \times 10^{12} \) meters<br />- Rate = \( 1.8 \times 10^{5} \) meters per second<br /><br />Substitute the given values into the formula:<br /><br />\[ \text{time} = \frac{9 \times 10^{12}}{1.8 \times 10^{5}} \]<br /><br />To divide these numbers in scientific notation, divide the coefficients and subtract the exponents:<br /><br />\[ \text{time} = \frac{9}{1.8} \times 10^{12 - 5} \]<br /><br />\[ \text{time} = 5 \times 10^{7} \]<br /><br />Therefore, the particle took \( 5 \times 10^{7} \) seconds to travel the specified distance.