How many times larger is 9 x 105 than 5 x 103?

Question

Group of answer choices

1.8

18

180

Answer 1

To determine how many times larger \( 9 \times 10^5 \) is than \( 5 \times 10^3 \), we can set up the division of the two numbers:

\[ \frac{9 \times 10^5}{5 \times 10^3} \]

We can simplify this expression:

1. Divide the coefficients: \( \frac{9}{5} = 1.8 \)
2. Divide the powers of 10: \( \frac{10^5}{10^3} = 10^{5-3} = 10^2 \)

Now combine these results:

\[ 1.8 \times 10^2 = 1.8 \times 100 = 180 \]

Thus, \( 9 \times 10^5 \) is 180 times larger than \( 5 \times 10^3 \).

The correct answer is 180.