The problem consists of several questions related to genetics and cell biology. The question of interest here is number 11. Given that a DNA molecule is used as a template, how many mRNA molecules are needed if each mRNA molecule has an average of $10^4$ nucleotides? The number of nucleotides in the given single strand of ADN is $3 \times 10^4$.

Applied MathematicsScientific NotationDivisionBiologyGeneticsmRNA
2025/5/11

1. Problem Description

The problem consists of several questions related to genetics and cell biology. The question of interest here is number
1

1. Given that a DNA molecule is used as a template, how many mRNA molecules are needed if each mRNA molecule has an average of $10^4$ nucleotides? The number of nucleotides in the given single strand of ADN is $3 \times 10^4$.

2. Solution Steps

First, we need to recognize that the mRNA will have the same number of nucleotides as a single strand of DNA template.
Therefore the number of nucleotides in the mRNA =3×104= 3 \times 10^4.
Next, we can calculate the number of mRNA molecules:
Number of mRNA molecules=Total nucleotides in mRNAAverage nucleotides per mRNA molecule\text{Number of mRNA molecules} = \frac{\text{Total nucleotides in mRNA}}{\text{Average nucleotides per mRNA molecule}}
Number of mRNA molecules=3×104104\text{Number of mRNA molecules} = \frac{3 \times 10^4}{10^4}
Number of mRNA molecules=3\text{Number of mRNA molecules} = 3

3. Final Answer

The number of mRNA molecules needed is 3.

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