Question

The population of Mexico City is approximately 8x10^6, and the population of Puebla is approximately 2x10^4. How many times larger is the population of Mexico City than the population of Puebla? Express your answer in standard notation.

a) 40,000
b) 400,000
c) 4,000,000
d) 400,000,000

Answer 1

To find how many times larger the population of Mexico City is compared to Puebla, divide their populations, given in scientific notation. The result shows that Mexico City's population is 400 times that of Puebla, corresponding to 400,000 in standard notation.

Step-by-step explanation:

To determine how many times larger the population of Mexico City is compared to Puebla, we can simply divide the population of Mexico City by the population of Puebla using the given scientific notation.

The population of Mexico City is 8 x 106, and the population of Puebla is 2 x 104. The ratio of their populations is calculated by dividing the population of Mexico City by the population of Puebla:

(8 x 106) / (2 x 104) = 4 x 10(6-4) = 4 x 102

Converting 4 x 102 to standard notation gives us:

4 x 102 = 4 x 100 = 400

Therefore, the population of Mexico City is 400 times larger than the population of Puebla, which corresponds to option b) 400,000.