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:
| Quantity | Unit | Abbreviation |
|---|---|---|
| Length | Meter | m |
| Mass/Weight | Kilogram | kg |
| Volume | Liter | L |
| Temperature | Celsius | °C |
| Time | Second | s |
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):
| Quantity | Units |
|---|---|
| Length | Inches, feet, yards, miles |
| Weight | Ounces, pounds |
| Volume | Fluid ounces, cups, pints, quarts, gallons |
| Temperature | Fahrenheit (°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