Question

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

A. 35 μL
B. 225 Mm
C. 133 fg
D. 1.5 dg

Answer 1

Each quantity is converted to its base units with 35 µL equaling 35 x 10^-6 L, 225 Mm being 225 x 10^6 m, 133 fg as 133 x 10^-15 g, and 1.5 dg as 1.5 x 10^-1 g, all expressed in scientific notation.

Step-by-step explanation:

To express quantities in scientific notation without metric prefix multipliers, we convert each unit to its base unit and then express it in the form of a power of ten.

1. 35 µL (microliters) can be expressed as 35 x 10-6 L, because one microliter is equal to 10-6 liters.
2. 225 Mm (megameters) can be expressed as 225 x 106 m, since one megameter is equal to 106 meters.
3. 133 fg (femtograms) can be expressed as 133 x 10-15 g, because one femtogram is 10-15 grams.
4. 1.5 dg (decigrams) can be expressed as 1.5 x 10-1 g, as one decigram equals 10-1 grams.

Using the SI base units and scientific notation makes it easier to understand and compare the scale of different measurements.

Answer 2

Quantities provided in different metric prefixes have been converted to base SI units in scientific notation. These include 35 microliters as 3.5 x 10^-5 L, 225 megameters as 2.25 x 10^8 m, 133 femtograms as 1.33 x 10^-13 g, and 1.5 decigrams as 1.5 x 10^-2 g. So, the correct answer is D.

Step-by-step explanation:

To express quantities in scientific notation using only base SI units without any prefix multipliers:

A. 35 µL (microliters) is equivalent to 3.5 x 10^-5 L (liters).

B. 225 Mm (megameters) is equivalent to 2.25 x 10^8 m (meters).

C. 133 fg (femtograms) is equivalent to 1.33 x 10^-13 g (grams).

D. 1.5 dg (decigrams) is equivalent to 1.5 x 10^-2 g (grams).

These conversions are accomplished by using the appropriate factor of 10 associated with each prefix, as per the International System of Units. For example, the prefix 'micro' (u00b5) represents 10^-6, 'mega' (M) represents 10^6, 'femto' (f) represents 10^-15, and 'deci' (d) represents 10^-1.