Question
The human body contains about 1 x 10 (12)
bacteria. The human body contains about 4x 10 (4)
genes. The number of bacteria contained in the human body is how many times as great as the number of genes contained in the human body?
A
250250250
B
4,0004,0004,000
C
25,000,00025,000,00025,000,000
D
400,000,000400,000,000400,000,000
Answers
GPT-4o mini
To find out how many times greater the number of bacteria is compared to the number of genes in the human body, we can use the given numbers:
- Number of bacteria: \( 1 \times 10^{12} \)
- Number of genes: \( 4 \times 10^{4} \)
We can calculate the ratio of bacteria to genes:
\[
\text{Ratio} = \frac{\text{Number of bacteria}}{\text{Number of genes}} = \frac{1 \times 10^{12}}{4 \times 10^{4}}
\]
Now, simplify the fraction:
\[
\text{Ratio} = \frac{1}{4} \times \frac{10^{12}}{10^{4}} = \frac{1}{4} \times 10^{12-4} = \frac{1}{4} \times 10^{8}
\]
Calculating this gives:
\[
\text{Ratio} = \frac{10^{8}}{4} = 2.5 \times 10^{7} = 25,000,000
\]
Thus, the number of bacteria in the human body is 25,000,000 times as great as the number of genes.
The correct answer is **C: 25,000,000**.
- Number of bacteria: \( 1 \times 10^{12} \)
- Number of genes: \( 4 \times 10^{4} \)
We can calculate the ratio of bacteria to genes:
\[
\text{Ratio} = \frac{\text{Number of bacteria}}{\text{Number of genes}} = \frac{1 \times 10^{12}}{4 \times 10^{4}}
\]
Now, simplify the fraction:
\[
\text{Ratio} = \frac{1}{4} \times \frac{10^{12}}{10^{4}} = \frac{1}{4} \times 10^{12-4} = \frac{1}{4} \times 10^{8}
\]
Calculating this gives:
\[
\text{Ratio} = \frac{10^{8}}{4} = 2.5 \times 10^{7} = 25,000,000
\]
Thus, the number of bacteria in the human body is 25,000,000 times as great as the number of genes.
The correct answer is **C: 25,000,000**.