Question

complete the sentence.
the number $9 \times 10^{7}$ is approximately ____ times as large as $3 \times 10^{4}$.
3
30
300
3,000

Explanation:

Step1: Set up division expression

We need to find how many times $9 \times 10^7$ is as large as $3 \times 10^5$, so we calculate the quotient:
$\frac{9 \times 10^7}{3 \times 10^5}$

Step2: Split into coefficient and power parts

Separate the coefficients and the powers of 10:
$\frac{9}{3} \times \frac{10^7}{10^5}$

Step3: Simplify each part

Calculate the coefficient division and use exponent rule $\frac{10^a}{10^b}=10^{a-b}$:
$3 \times 10^{7-5} = 3 \times 10^2$

Step4: Compute final value

Simplify $10^2$ and multiply:
$3 \times 100 = 300$

Answer:

300