Question

The approximate populations of the three countries are expressed in scientific notation:

Thailand: 7 x 10⁷
Panama: 4 x 10⁶
Peru: 3.2 x 10⁷
Is Lin correct when they say that more than 20 times as many people live in Thailand than in Panama? Explain how you know.

Answer 1

Lin is correct when they say that more than 20 times as many people live in Thailand than in Panama. In scientific notation, the population of Thailand is expressed as 7 x 10^7, and the population of Panama is expressed as 4 x 10^6. To compare the populations, divide the population of Thailand by the population of Panama.

Step-by-step explanation:

Lin is correct when they say that more than 20 times as many people live in Thailand than in Panama. In scientific notation, the population of Thailand is expressed as 7 x 10ⁿ, and the population of Panama is expressed as 4 x 10⁴. To compare the populations, we can divide the population of Thailand by the population of Panama:

Thailand / Panama = (7 x 10ⁿ) / (4 x 10⁴)

Simplifying the expression, we get:

Thailand / Panama = (7 / 4) x (10ⁿ / 10⁴)

Thailand / Panama = 1.75 x 10

Therefore, the population of Thailand is 1.75 times 101 (which is equivalent to 1.75 times 10) more than the population of Panama. Since 1.75 is greater than 20, we can conclude that there are more than 20 times as many people living in Thailand than in Panama.