To find the difference in population between China and India, we subtract the population of India from the population of China:
China's population - India's population = (1.45 x 10^9) - 1,400,000,000
Writing both populations in scientific notation for convenience:
(1.45 x 10^9) - (1.4 x 10^9)
To subtract the numbers in scientific notation, the exponents of 10 must be the same. We can rewrite China's population as (1.45 x 10^9), keeping the exponent the same, and rewrite India's population as (1.4 x 10^9) x 10^0.
Now we can subtract the two numbers:
(1.45 x 10^9) - (1.4 x 10^9 x 10^0)
(1.45 x 10^9) - (1.4 x 10^9 x 1)
(1.45 x 10^9) - (1.4 x 10^9)
0.05 x 10^9
Since 0.05 is equal to 5 x 10^-2, the difference in population is:
5 x 10^-2 x 10^9
5 x 10^(9-2)
5 x 10^7
Therefore, the answer is a. 5 × 10^7.
China and India are the most populous countries in the world. China’s population is approximately 1.45 x 10^9 while India’s population is approximately 1,400,000,000. How many more people live in China than in India? (1 point)
a.5 × 10^7
b.5 × 10^10
c.5 × 10^8
d.5 × 10^9
1 answer
1 answer