Answer :
To divide numbers in scientific notation, we follow these steps:
1. Divide the coefficients: Divide [tex]\(3.185\)[/tex] by [tex]\(9.1\)[/tex].
2. Subtract the exponents: Subtract the exponent in the denominator from the exponent in the numerator.
Let's go through the steps in detail:
1. Divide the coefficients:
[tex]\[ \frac{3.185}{9.1} \approx 0.35 \][/tex]
2. Subtract the exponents:
[tex]\[ 17 - 8 = 9 \][/tex]
So the division of the scientific notation yields:
[tex]\[ 0.35 \times 10^9 \][/tex]
However, we usually aim to write the result in standard scientific notation, where the coefficient is between 1 and 10. To do this, we adjust [tex]\(0.35 \times 10^9\)[/tex] as follows:
[tex]\[ 0.35 \times 10^9 = 3.5 \times 10^8 \][/tex]
Thus, the correct answer in standard scientific notation is:
[tex]\[ 3.5 \times 10^8 \][/tex]
Therefore, the correct choice from the given options is:
[tex]\[ \boxed{3.5 \times 10^8} \][/tex]
1. Divide the coefficients: Divide [tex]\(3.185\)[/tex] by [tex]\(9.1\)[/tex].
2. Subtract the exponents: Subtract the exponent in the denominator from the exponent in the numerator.
Let's go through the steps in detail:
1. Divide the coefficients:
[tex]\[ \frac{3.185}{9.1} \approx 0.35 \][/tex]
2. Subtract the exponents:
[tex]\[ 17 - 8 = 9 \][/tex]
So the division of the scientific notation yields:
[tex]\[ 0.35 \times 10^9 \][/tex]
However, we usually aim to write the result in standard scientific notation, where the coefficient is between 1 and 10. To do this, we adjust [tex]\(0.35 \times 10^9\)[/tex] as follows:
[tex]\[ 0.35 \times 10^9 = 3.5 \times 10^8 \][/tex]
Thus, the correct answer in standard scientific notation is:
[tex]\[ 3.5 \times 10^8 \][/tex]
Therefore, the correct choice from the given options is:
[tex]\[ \boxed{3.5 \times 10^8} \][/tex]
