Final answer:
The question requires multiplying fractions, including a mixed number, and expressing numbers in scientific notation. The multiplication can be done by converting to improper fractions, then multiplying numerators and denominators, and simplifying. Scientific notation is also used for multiplication by adding exponents and multiplying coefficients.
Step-by-step explanation:
The question involves multiplying fractions and expressing the result in the simplest form. By examining the problem 545×4310, we can see that this operation involves multiplying two fractions with one of them being a mixed number. To solve this, first convert the mixed number into an improper fraction, then multiply the numerators together and multiply the denominators together, and finally simplify the resulting fraction if possible.
To multiply scientific notation, multiply the coefficients (the numbers in front) and then add the exponents of the powers of 10. For example, 4.506 × 104 multiplied by 1.003 × 102 becomes (4.506 × 1.003) × 104+2. It's important to know how to perform this operation both with and without a calculator to ensure accuracy in fields like chemistry where precision is crucial.
Multiplying and dividing by tens can simply be performed by moving the decimal point. Multiplying by powers of 10 involves shifting the decimal to the right, while dividing involves shifting it to the left. This concept is vital in effectively using scientific notation.