Question

Use scientific notation to express each quantity with only base units (no prefix multipliers).

a) 4.5 ns
b) 18 fs
c) 128 pm
d) 35 micrometer

Answer 1

To express the quantities in scientific notation without prefix multipliers, convert 4.5 ns to 4.5 x 10^-9 s, 18 fs to 18 x 10^-15 s, 128 pm to 128 x 10^-12 m, and 35 micrometers to 35 x 10^-6 m.

Step-by-step explanation:

To express each quantity in scientific notation with only base units without using prefix multipliers, you need to convert each metric prefix to the corresponding power of ten:

• Nanoseconds (ns) to seconds (s): 1 ns = 10-9 s
• Femtoseconds (fs) to seconds (s): 1 fs = 10-15 s
• Picometers (pm) to meters (m): 1 pm = 10-12 m
• Micrometers (μm) to meters (m): 1 μm = 10-6 m

Using this information, we can express the given quantities as:

1. 4.5 ns = 4.5 × 10-9 s
2. 18 fs = 18 × 10-15 s
3. 128 pm = 128 × 10-12 m
4. 35 micrometers = 35 × 10-6 m