Final answer:
To solve the multiplication of (5.91 × 10⁻³) × (8.7 × 10¹⁰), multiply the coefficients (5.91 and 8.7) to get 51.417, and add the exponents (-3 and 10) to get 7, resulting in the answer 5.1417 × 10⁷ in scientific notation.
Step-by-step explanation:
The question provided requires us to multiply two numbers expressed in scientific notation and present the answer in scientific notation as well.
We are given (5.91 × 10⁻³) × (8.7 × 10¹⁰).
To solve this, we multiply the coefficients (5.91 and 8.7) together and then add the exponents of 10 (-3 and 10).
Step 1: Multiply the coefficients: 5.91 × 8.7 = 51.417
Step 2: Add the exponents: (-3) + 10 = 7
Step 3: Combine the results into scientific notation.
The answer is 5.1417 × 10⁷ when rounded to four significant figures.
For additional exercises:
- First rewrite the original numbers in scientific notation if necessary.
- Multiply the coefficients and add the exponents just like the example above.
- Make sure to express your final answer in scientific notation.
Remember, the use of scientific notation is essential in fields like chemistry and physics, where often you have to enter numbers in scientific notation into a calculator.