China has a population of approximately 1,382,323,332 people. The population of the United States is about 324,118,787 people.
Part A
Approximate each population using scientific notation.
China:
1.4 x 10^9
1.8 x 10^9
1.8 x 10^8
United States:
3.2 x 10^9
3.4 x 10^9
3.2 x 10^8
3.4 x 10^8
Part B
About how many more people live in China than in the United States?
About
1.08 x 10^8
1.09 x 10^9
4.6 x 10^8
1.06 x 10^9
To solve this question, let’s break it down step by step.
### Part A
China’s Population in Scientific Notation:
The population of China is approximately 1,382,323,332. To express this in scientific notation, we can round it to 1.4 billion, which is written as:
– China: 1.4 x 10^9
United States Population in Scientific Notation:
The population of the United States is about 324,118,787. To express this in scientific notation, we round it to 3.2 hundred million, which is written as:
– United States: 3.2 x 10^8
### Part B
To find out how many more people live in China than in the United States, we can subtract the populations:
1. China: 1.4 x 10^9
2. United States: 3.2 x 10^8
Convert the population of the United States to the same exponent for easier subtraction:
– 3.2 x 10^8 = 0.32 x 10^9
Now, subtract:
– 1.4 x 10^9 – 0.32 x 10^9 = 1.08 x 10^9
So, the answer to how many more people live in China than the United States is:
– **About 1.08 x 10^9