A cruise ship weighs 3.83×107

kilograms. A horse weighs 7.1×102
kilograms. Approximately how many horses weigh as much as one cruise ship?

Give your answer in scientific notation using only whole numbers.

x 10

1 answer

To find out how many horses weigh as much as one cruise ship, we can divide the weight of the cruise ship by the weight of one horse.

  1. The weight of the cruise ship is \( 3.83 \times 10^7 \) kg.
  2. The weight of one horse is \( 7.1 \times 10^2 \) kg.

Now, we calculate the number of horses equivalent to the weight of the cruise ship:

\[ \text{Number of horses} = \frac{3.83 \times 10^7}{7.1 \times 10^2} \]

To perform the division, we can separate the coefficients from the powers of ten:

\[ \frac{3.83}{7.1} \times \frac{10^7}{10^2} = \frac{3.83}{7.1} \times 10^{7 - 2} = \frac{3.83}{7.1} \times 10^5 \]

Calculating \( \frac{3.83}{7.1} \):

\[ \frac{3.83}{7.1} \approx 0.539 \]

Now, substituting this back into our equation gives:

\[ 0.539 \times 10^5 \]

To express \( 0.539 \) in scientific notation, we can rewrite it as \( 5.39 \times 10^{-1} \). Therefore,

\[ 0.539 \times 10^5 = 5.39 \times 10^4 \]

Now, we want to write this as a single term in scientific notation. Hence,

\[ 5.39 \times 10^4 = 5.39 \text{ could be rounded to } 5 \text{ for whole numbers.} \]

So rounding \( 5.39 \) to the nearest whole number gives us \( 5 \).

Thus, the final answer is:

\[ \boxed{5 \times 10^4} \]

This means approximately 50,000 horses weigh as much as one cruise ship.