Money & Measurement

Two of the most practically important applications of numbers in daily life are money and measurement. You will encounter both constantly.


Money

What is Money?

Money is a system humans use to exchange value without directly trading goods. Instead of trading a chicken for a pair of shoes, you sell the chicken for money and use that money to buy the shoes.

Money works because everyone agrees it has value. This is a social convention maintained by governments and trust.

Currency

Different countries use different currencies (forms of money):

  • US Dollar (USD, $) — used in the United States; the world’s primary reserve currency
  • Euro (EUR, €) — used by 20+ European countries
  • British Pound (GBP, £) — used in the United Kingdom
  • Japanese Yen (JPY, ¥) — used in Japan
  • Chinese Yuan (CNY/RMB, ¥) — used in China
  • And hundreds more

Exchange rates determine how much of one currency equals another. They fluctuate based on economic conditions.

Coins and Bills

Physical money comes in two forms:

  • Coins — small metal discs, usually lower denominations
  • Bills/Notes — paper or polymer sheets, usually higher denominations

Digital Money

Most modern transactions are digital — no physical money changes hands. This includes:

  • Debit cards (connected directly to your bank account)
  • Credit cards (borrowed money you repay later)
  • Mobile payments (apps on smartphones)
  • Bank transfers

See Economics & Money for deeper context on financial systems.


Measurement

Humans have standardized systems for measuring physical quantities.

The Metric System (SI)

Used by most of the world:

QuantityUnitAbbreviation
LengthMeterm
Mass/WeightKilogramkg
VolumeLiterL
TemperatureCelsius°C
TimeSeconds

Common metric prefixes:

  • kilo- = 1,000 (1 kilometer = 1,000 meters)
  • centi- = 1/100 (1 centimeter = 0.01 meters)
  • milli- = 1/1,000 (1 millimeter = 0.001 meters)

The Imperial System

Used primarily in the United States (and partially in the UK):

QuantityUnits
LengthInches, feet, yards, miles
WeightOunces, pounds
VolumeFluid ounces, cups, pints, quarts, gallons
TemperatureFahrenheit (°F)

🚩 This can cause confusion. Always confirm which system is being used, especially for medical or scientific contexts.

Temperature Conversion

  • °C to °F: Multiply by 9/5, then add 32. (e.g., 20°C = 68°F)
  • °F to °C: Subtract 32, then multiply by 5/9. (e.g., 68°F = 20°C)

Reference points:

  • 0°C / 32°F = Water freezes
  • 100°C / 212°F = Water boils
  • 37°C / 98.6°F = Normal human body temperature
  • 20°C / 68°F = Comfortable room temperature

Time

  • 60 seconds = 1 minute
  • 60 minutes = 1 hour
  • 24 hours = 1 day
  • 7 days = 1 week
  • ~30 days = 1 month
  • 12 months = 1 year
  • 10 years = 1 decade
  • 100 years = 1 century

Time is tracked on clocks (analog — with rotating hands, or digital — with numbers). The 12-hour format (1–12, AM/PM) is common in the US; the 24-hour format (0–23) is standard internationally and in science.


Related: Numbers & Counting | Basic Arithmetic | Economics & Money | A Typical Day