Question

the thickness of a sheet of paper is about 0.099 millimeters.

determine that thickness in base units and give your result in scientific notation.

note: your answer is assumed to be reduced to the highest power possible.

your answer:
x10^
answer units

question 19 (1 point)

the mass of a red blood cell is about 268 picograms.

determine that mass in base units and give your result in scientific notation.

note: your answer is assumed to be reduced to the highest power possible.

your answer:
x10^
answer units

Explanation:

Convert paper thickness to base units

The given thickness is \(0.099\text{ millimeters}\).
The SI base unit for length is the meter (\(\text{m}\)).
Using the metric prefix milli- (\(10^{-3}\)):

$$0.099\text{ mm} = 0.099 \times 10^{-3}\text{ m}$$

Express thickness in scientific notation

Convert \(0.099 \times 10^{-3}\) to standard scientific notation \(a \times 10^b\), where \(1 \le a < 10\):

$$0.099 = 9.9 \times 10^{-2}$$

$$(9.9 \times 10^{-2}) \times 10^{-3}\text{ m} = 9.9 \times 10^{-5}\text{ m}$$

Convert red blood cell mass to base units

The given mass is \(268\text{ picograms}\).
The SI base unit for mass is the kilogram (\(\text{kg}\)).
Using the metric prefix pico- (\(10^{-12}\)) to convert to grams first:

$$268\text{ pg} = 268 \times 10^{-12}\text{ g}$$

Since \(1\text{ g} = 10^{-3}\text{ kg}\), convert grams to kilograms:

$$268 \times 10^{-12}\text{ g} = 268 \times 10^{-12} \times 10^{-3}\text{ kg} = 268 \times 10^{-15}\text{ kg}$$

Express mass in scientific notation

Convert \(268 \times 10^{-15}\) to standard scientific notation \(a \times 10^b\), where \(1 \le a < 10\):

$$268 = 2.68 \times 10^2$$

$$(2.68 \times 10^2) \times 10^{-15}\text{ kg} = 2.68 \times 10^{-13}\text{ kg}$$

Answer:

Question 1

• Answer: \(9.9\)
• Exponent: \(-5\)
• Units: \(\text{m}\)

Question 2

• Answer: \(2.68\)
• Exponent: \(-13\)
• Units: \(\text{kg}\)