Final answer:
The question involves arithmetic operations with a focus on division and multiplication in scientific notation, as well as subtraction, ensuring answers have the correct number of significant figures.
Step-by-step explanation:
The question requires performing arithmetic operations and expressing the results either in standard form or scientific notation with the appropriate number of significant figures.
For division involving scientific notation, such as 24 / 4.32 x 107, the process involves dividing the numbers out front and subtracting the exponents. This would give us a calculation similar to (24/4.32) x 10(12-7) = 5.555 x 105 when rounded to the correct number of significant figures.
When multiplying numbers in scientific notation, such as (5.63 x 102) × (7.4 x 103), you multiply the numbers out front and add the exponents. This results in 41.662 x 10(2+3) = 4.1662 x 106.
For subtraction such as 13782.56 - 38, we keep only as many decimal places as the least precise measurement. This results in an answer with three significant figures: 13700.