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The current population of China is 1,244,130,000 people. Estimate the population using scientific notation. Responses A 1 x 1 x...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 estimate the population of China, which is 1,244,130,000 people, we can express this number in scientific notation.
The scientific notation format is generally written as \( a \times 10^n \), where \( a \) is a number between 1 and 10, and \( n \) is an integer.
1. The number 1,244,130,000 can be rewritten as \( 1.24413 \times 10^9 \).
2. For estimation purposes, we can round 1.24413 to 1 (although the most straightforward estimate for large numbers is simply to focus on the leading digit and its overall order of magnitude).
3. Therefore, our estimate simplifies to \( 1 \times 10^9 \).
Now, looking at the options provided:
C) \( 1 \times 1 \times 10^8 \) // Incorrect (10^8 is an order of magnitude less)
D) \( 1 \times 1 \times 10^9 \) // Correct
Thus, the correct answer is:
**D) 1 x 10^9**
The scientific notation format is generally written as \( a \times 10^n \), where \( a \) is a number between 1 and 10, and \( n \) is an integer.
1. The number 1,244,130,000 can be rewritten as \( 1.24413 \times 10^9 \).
2. For estimation purposes, we can round 1.24413 to 1 (although the most straightforward estimate for large numbers is simply to focus on the leading digit and its overall order of magnitude).
3. Therefore, our estimate simplifies to \( 1 \times 10^9 \).
Now, looking at the options provided:
C) \( 1 \times 1 \times 10^8 \) // Incorrect (10^8 is an order of magnitude less)
D) \( 1 \times 1 \times 10^9 \) // Correct
Thus, the correct answer is:
**D) 1 x 10^9**