Question
The current population of China is 1,244,130,000 people. Estimate the population using scientific notation.
Responses
A 1 x
1 x 10 -9
B 1 x
1 x 10 -8
C 1 x
1 x 10 8
D 1 x
1 x 10 9
E 1 x
Responses
A 1 x
1 x 10 -9
B 1 x
1 x 10 -8
C 1 x
1 x 10 8
D 1 x
1 x 10 9
E 1 x
Answers
GPT-4o mini
To express the population of China, which is 1,244,130,000, in scientific notation, we need to find a way to write it in the form of \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
1. First, we can rewrite the number: \( 1,244,130,000 = 1.24413 \times 10^{9} \).
2. In scientific notation, we typically round the number to one digit before the decimal point, giving us \( 1.244 \) and acknowledging that it can be expressed as \( 1.2 \) for simplicity.
3. Thus, the rounded form is \( 1.2 \times 10^9 \).
However, since the options provided only show the first digit before the decimal, we represent it simply as:
**The population of China in scientific notation is approximately \( 1.244 \) which can be rounded to \( 1 \) when focusing only on the first digit, leading to \( 1 \times 10^{9} \).**
So, the correct answer is:
**D: 1 x 10^9**
1. First, we can rewrite the number: \( 1,244,130,000 = 1.24413 \times 10^{9} \).
2. In scientific notation, we typically round the number to one digit before the decimal point, giving us \( 1.244 \) and acknowledging that it can be expressed as \( 1.2 \) for simplicity.
3. Thus, the rounded form is \( 1.2 \times 10^9 \).
However, since the options provided only show the first digit before the decimal, we represent it simply as:
**The population of China in scientific notation is approximately \( 1.244 \) which can be rounded to \( 1 \) when focusing only on the first digit, leading to \( 1 \times 10^{9} \).**
So, the correct answer is:
**D: 1 x 10^9**