To solve the given problem [tex]\( \left(6.02 \times 10^{23}\right) \div \left(1.7 \times 10^{21}\right) \)[/tex], follow these steps:
1. Divide the coefficients:
Divide 6.02 by 1.7:
[tex]\[
\frac{6.02}{1.7} \approx 3.54
\][/tex]
2. Subtract the exponents:
Subtract the exponent of the denominator from the exponent of the numerator:
[tex]\[
23 - 21 = 2
\][/tex]
Thus, the result of combining the coefficients and adjusting the exponent is:
[tex]\[
3.54 \times 10^2
\][/tex]
3. Round the result to the nearest whole number:
The decimal value 3.54 is rounded to 354.
4. Express the result in scientific notation:
Write the rounded number in scientific notation:
[tex]\[
3.54 \times 10^2
\][/tex]
Thus, the solution involves first performing the division of [tex]\( \frac{6.02 \times 10^{23}}{1.7 \times 10^{21}} \)[/tex] to obtain approximately 354.11764705882354, then rounding this to the nearest whole number, which is 354, and finally expressing the rounded result in scientific notation as [tex]\( 3.54 \times 10^2 \)[/tex].
