Convert rates and measurements: metric units

๐Ÿ“ What is the Metric System?

  • The metric system is a standard way of measuring used worldwide ๐ŸŒ
  • It is based on powers of 10 ๐Ÿ”Ÿโžœ100โžœ1000 โ€” making conversions easy!

๐Ÿ”‘ Basic Metric Units

MeasurementUnitSymbolExample
Length ๐Ÿ“metrem5 m
Mass โš–๏ธgramg250 g
Volume ๐Ÿ’งlitreL2 L

๐Ÿ”„ Metric Prefixes & Values

PrefixSymbolMeaningMultiply by
kilo ๐Ÿšškm / kg / kLthousandร— 1,000
hecto ๐Ÿ’ฏhm / hg / hLhundredร— 100
deca ๐Ÿ”Ÿdam / dag / daLtenร— 10
base unit โœจm / g / Loneร— 1
deci ๐Ÿ”ฝdm / dg / dLtenthรท 10
centi ๐Ÿงตcm / cg / cLhundredthรท 100
milli ๐Ÿผmm / mg / mLthousandthรท 1,000

๐Ÿ” Quick Conversion Trick

๐Ÿ‘‰ Move the decimal point!

  • To convert bigger โ†’ smaller, ๐Ÿ‘‰ move decimal to the right โžก๏ธ
  • To convert smaller โ†’ bigger, ๐Ÿ‘‰ move decimal to the left โฌ…๏ธ

๐Ÿ“ Example:

  • 3.5 km โ†’ m: km to m = ร—1000 โ†’ 3,500 m
  • 650 m โ†’ km: m to km = รท1000 โ†’ 0.65 km

โš–๏ธ Converting Between Units (Examples)

Length ๐Ÿ“

  • 1 km = 1,000 m
  • 1 m = 100 cm
  • 1 cm = 10 mm

Mass ๐Ÿ’ช

  • 1 kg = 1,000 g
  • 1 g = 1,000 mg

Capacity/Volume ๐Ÿ’ง

  • 1 L = 1,000 mL

๐Ÿš€ Converting Rates

A rate compares two different units (e.g., km/h, m/s, L/min).

โœ… Examples:

  • 60 km/h to m/s
    โ†’ Multiply by 1000/3600 or divide by 3.6
    โ†’ 60 km/h รท 3.6 = 16.67 m/s
  • 300 mL/min to L/min
    โ†’ 300 รท 1000 = 0.3 L/min

๐Ÿ’ก Tips to Remember

โœจ Write the units before converting
๐Ÿ” Practice moving decimal places
๐Ÿ“ Use a metric ladder to go up or down
๐Ÿง  Always check if final unit is correct


๐ŸŽฏ Why Learn Conversions?

  • Used in science experiments ๐Ÿงช
  • Helps in shopping & cooking ๐Ÿณ
  • Needed for travel & speed calculations ๐Ÿš—
  • Useful in medicine ๐Ÿ’Š (mL to L, mg to g)

Learn with an example

Write a conversion factor to convert kilolitres to litres. Put kilolitres in the denominator so that they will cancel out the kilolitres that are given.

Write a conversion factor to convert litres to millilitres. Put litres in the denominator so that they will cancel out the litres that are given.

Write a conversion factor to convert kilograms to grams. Put kilograms in the denominator so that they will cancel out the kilograms that are given.

let’s practice!