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.