How to convert

• What are the units of length from smallest to largest in the video?

  • Nanometers
  • Micrometers
  • Millimeters
  • Meters
  • Kilometers
• What is the general rule for converting from a smaller unit to a larger unit in the metric system?

  You divide the number by 1,000 for each place you move up the scale.
• What are the different units of length in the metric system, starting from the smallest to largest?

  • Nanometers $(10^{-9} \text{ m})$
  • Micrometers $(10^{-6} \text{ m})$
  • Millimeters $(10^{-3} \text{ m})$
  • Meters (1 m)
  • Kilometers $(10^{3} \text{ m})$
• How do the units of length relate to each other in the metric system?

  Each unit is 1,000 times bigger or smaller than the one next to it.
• How many times smaller is a nanometer than a micrometer?

  1,000 times smaller
• How many times bigger is a kilometer than a meter?

  1,000 times bigger
• What is the general rule for converting units of length in the metric system?

  To convert to a larger unit: divide by 1,000 for each unit step up the scale.

  To convert to a smaller unit: multiply by 1,000 for each unit step down the scale.
• Convert 6 mm to meters.

  $0.006 \text{ m}$
• Express 6 mm in scientific notation using meters as the base unit.

  $6 \times 10^{-3} \text{ m}$
• Convert 6 mm to kilometers.

  $0.000006 \text{ km}$
• Express 6 mm in scientific notation using kilometers as the base unit.

  $6 \times 10^{-6} \text{ km}$
• Convert 6 mm to micrometers.

  $6000 \text{ µm}$
• Express 6 mm in scientific notation using micrometers as the base unit.

  $6 \times 10^{3} \text{ µm}$
• Convert 6 mm to nanometers.

  $6,000,000 \text{ nm}$
• Express 6 mm in scientific notation using nanometers as the base unit.

  $6 \times 10^{6} \text{ nm}$
• How would you convert 340 nanometers to millimeters?

  Divide by 1,000 once to get micrometers and then by 1,000 again to get millimeters.
• What are the ranges of sizes for atoms, molecules, viruses, and cells?

  • Atoms: $0.1 \text{ nm} \approx 0.5 \text{ nm}$
  • Medium-sized molecules like glucose: $1 \text{ nm}$
  • Viruses: $100 \text{ nm}$
  • Small cells like bacteria: $1 \text{ µm}$
  • Most animal and plant cells: $10 \text{ µm} \approx 100 \text{ µm}$
• How wide is human hair?

  $100 \text{ µm}$
• What is the smallest object a naked human eye can see?

  A human hair
• What is the smallest object visible under different types of microscopes?

  • Standard microscope: $500 \text{ nm}$
  • Electron microscope: $0.1 \text{ nm}$
• How many millimeters are in a centimeter?

  10 mm
• How many centimeters are in a meter?

  100 cm
• How do you convert between centimeters and meters?

  To convert centimeters to meters: divide the number by 100.

  To convert meters to centimeters: multiply the number by 100.
• How do you convert between centimeters and millimeters?

  To convert centimeters to millimeters: multiply the number by 10.

  To convert millimeters to centimeters: divide the number by 10.
• Convert 30 cm to nanometers.

  $3 \times 10^{10} \text{ nm}$
• What is the value of 30 cm in scientific notation using nanometers as the base unit?

  $3 \times 10^{10} \text{ nm}$