Final answer:
The correct answer for the golden ratio calculation is option a) 1.6180339887. The additional exercises involve calculations such as expressing numbers in scientific notation, rounding values to specific decimal places, and rounding numbers to a certain number of significant figures.
Step-by-step explanation:
The question asks to find the value of the golden ratio, which is mathematically represented as (1 + √5) / 2. The golden ratio is an irrational number, and when calculated, it is approximately 1.6180339887. Therefore, option a) 1.6180339887 is the correct answer after evaluating the expression.
Additional Exercises:
Evaluate 0.00000000552 × 0.0000000006188 in scientific notation, the answer is 3.42 × 10^-18.
A value of 201.867 rounded to the hundredth place is 201.87.
Rounding numbers to three significant figures: 0.0004505 becomes 4.50 × 10^-4, 0.00045050 becomes 4.50 × 10^-4, 7.210 × 10^6 remains unchanged, and 5.00 × 10^-6 remains unchanged.
Challenge Problems:
Round 31.57 "up" to 32.
Round 8.1649 "down" to 8.16.
Round 0.051065 "down" to 0.05106.
Round 0.90275 "up" to 0.9028.