Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

7. how many times greater than the population of the united states is i…

Question

  1. how many times greater than the population of the united states is indias population?

Explanation:

Step1: Gather population data

We need the population of India and the population of the United States. As of recent estimates, the population of India is approximately \(1.428\times10^{9}\) (1.428 billion) and the population of the United States is approximately \(3.319\times10^{8}\) (331.9 million).

Step2: Calculate the ratio

To find how many times greater India's population is than the United States', we divide India's population by the United States' population. Let \(P_{India}=1.428\times 10^{9}\) and \(P_{US}=3.319\times 10^{8}\). The ratio \(r=\frac{P_{India}}{P_{US}}\)

\[
r=\frac{1.428\times 10^{9}}{3.319\times 10^{8}}=\frac{1.428}{3.319}\times10^{9 - 8}=\frac{1.428}{3.319}\times10\approx0.430\times 10 = 4.30
\]

Answer:

India's population is approximately 4.3 times greater than the population of the United States.