Metric Prefixes: Study with Video Lessons, Practice Problems & Examples

Concentrations of dissolved compounds are usually written as mass per unit volume. Diabetes is usually tested by measure fasting blood glucose levels. A fasting blood glucose level of 126 mg/dL or higher is a strong indicator for diabetes. Express this concentration in g/mL.

Determine the larger quantity between the following pair: 2.9 × 10^–4 GW or 7.1 × 10³ kW.

Determine the larger quantity between the following pair: 5.3 × 10² mL or 6.4 × 10⁶ μL.

A carbon nanotube is a low-density material made of carbon tubes with diameters usually in the nanometer scale. It is a strong material with a high tensile strength and elastic modulus. The highest density carbon nanotubes fabricated have a density of 1.6 g/cm³. Convert this density to kg/m³.

Convert 15 μL to L. Use scientific notation.

Determine the nanoseconds in i) 2 s and ii) 19 ms.

Complete the equivalent expressions below by providing the missing values:

(a) 1 nmol = _____ mol

(b) 1 mol = _____ nmol

(c) 1 Tm = _____ m

(d) 1 m = _____ Tm

Identify the amount that corresponds to the smallest mass.

Standard rulers can measure up to 30 cm in length. What does unit cm stand for?

The diameter of a bacteria is 2×10⁻⁶ m. What prefix is best to use when reporting the bacteria's diameter?

Using scientific notation, write the following measurements without prefix multipliers: 4.6 gigahertz (GHz).

Using scientific notation, write the following measurements without prefix multipliers: 2.5 kilograms (kg).

Determine the conversion factors necessary to convert the following metric units: ns to ms.

Determine the conversion factors necessary to convert the following metric units: µg to kg.

In the years 2018/2019., the United States produced 51.29 million metric tons (1 metric ton = 1000 kg) of wheat  The United States was ranked as the fifth-largest wheat producer in the world. What is the mass of the wheat produced in grams? Express without using exponents and use the correct metric prefix.

Without using exponents, express the following measurements using the appropriate metric prefixes: 8.561 × 10^–4 m²

Without using exponents, express the following measurements using the appropriate metric prefixes: 4.785 × 10^–9 g.

Convert 742.8 × 10^–12 s to each of the given units.

a. ks 

b. ns 

c. µs 

d. fs

Express the following using base units and scientific notion: 452 Mm.

Perform the following conversions: 425 km     _____dm       _____cm

An office has a volume of 125 m³. Express this unit in cm³.

Express the following without exponents: 3.6×10¹² g.

Express the following without exponents: 55 × 10^–15 s.

Perform the following conversions: 652 mK/s       _____ K/s       _____ µK/ms

The human hair is measured to be 90 microns (µm). What is this measurement in SI unit?

Convert 0.0789 kg of sodium sulfate to units of milligrams

What is the area of a telescope lens in mm² if its area in square feet is 8645 ft²?

 Express 2.7 x 10^-13 L without using exponents in the appropriate metric prefix

What is the equivalent value of 513 mK/s in K/s?

Thallium (Tl) atom has a radius of 156 pm. Convert this radius to angstrom (Å).

Convert the following:

856 kL = ___ mL = ___ μL

The area of a beach resort is 3.50×10⁸ dm². Determine its area in m².

Express the following using base units: 48 mm.