Final answer:
The number 5.708 × 10-8 expressed in standard decimal notation is 0.00000005708. When evaluating the multiplication of two small numbers, it's helpful to use scientific notation for ease of calculation and clarity.
Step-by-step explanation:
To express the number 5.708 × 10-8 in standard decimal notation, we need to move the decimal point eight places to the left, because of the negative exponent. Starting with 5.708, we move the decimal to the left, inserting zeros as placeholders:
0.0000000570This is because each decrease in the power of ten divides the number by 10. Therefore, the correct answer is option a) 0.00000005708Additional ExerciseTo evaluate 0.00000000552 × 0.0000000006188 and express the answer in scientific notation, rewrite each number in scientific notation first5.52 × 10-6.188 × 10-1Multiply these together(5.52 × 6.188) × (10-9 × 10-10) = 34.15776 × 10-1Which, when rounded to an appropriate number of significant figures, becomes:3.416 × 10-18 (inscientific notation)To express 5.708 × 10-8 in standard decimal notation, we need to move the decimal point 8 places to the left.So the answer is a) 0.00000005708.