US System and Metric System

Mathematics
Author

ChatGPT by OpenAI

Published

April 11, 2025

Introduction

I often come across books, recipes, or resources that use both the US System and the Metric System. Since I’m not very familiar with the US System, I created this page as a quick and easy reference for myself—and to share with friends who might find it useful.

This summary was prepared with the help of ChatGPT by OpenAI, and all values and conversions are based on standard public domain sources, primarily Newell & Tiesinga () and Poids et Mesures (). Please verify values if you intend to use them for scientific or professional purposes.


Systems Overview

US System

The US System is primarily used in the United States and relies on a set of non-decimal units.

Length

Unit Abbreviation Equivalent
Inch in Base unit
Foot ft 12 inches
Yard yd 3 feet
Mile mi 5,280 feet

Weight (Mass)

Unit Abbreviation Equivalent
Ounce oz Base unit
Pound lb 16 ounces
Ton tn 2,000 pounds

Volume (Liquid)

Unit Abbreviation Equivalent
Teaspoon tsp Base unit
Tablespoon tbsp 3 teaspoons
Cup c 8 fluid ounces
Pint pt 2 cups
Quart qt 2 pints
Gallon gal 4 quarts

Temperature

  • Degrees Fahrenheit (°F)
    • Water freezes at 32°F
    • Boils at 212°F

Time

Unit Abbreviation Equivalent
Second s Base unit
Minute min 60 seconds
Hour hr 60 minutes
Day 24 hours

Metric System

The Metric System is used globally and follows a decimal structure based on powers of 10.

Prefixes

Prefix Symbol Factor Multiplier
milli m 10⁻³ 0.001
centi c 10⁻² 0.01
deci d 10⁻¹ 0.1
(base) 10⁰ 1
deka da 10¹ 10
hecto h 10² 100
kilo k 10³ 1,000
mega M 10⁶ 1,000,000
giga G 10⁹ 1,000,000,000

Length

Unit Symbol Equivalent
Millimetre mm 0.001 meter
Centimetre cm 0.01 meter
Decimetre dm 0.1 meter
Meter m Base unit
Decametre dam 10 meters
Hectometre hm 100 meters
Kilometre km 1,000 meters

Mass (Weight)

Unit Symbol Equivalent
Milligram mg 0.001 gram
Centigram cg 0.01 gram
Decigram dg 0.1 gram
Gram g Base unit
Decagram dag 10 grams
Hectogram hg 100 grams
Kilogram kg 1,000 grams
Metric Ton t 1,000 kilograms

Volume

Unit Symbol Equivalent
Millilitres mL 0.001 litres
Centilitres cL 0.01 litres
Decilitres dL 0.1 litres
Litres L Base unit
Decalitres daL 10 litres
Hectolitres hL 100 litres
Kilolitres kL 1,000 litres

Temperature

  • Degrees Celsius (°C)
    • Water freezes at 0°C, boils at 100°C
  • Kelvin (K)
    • Scientific use; absolute zero starts at 0 K

Time

Same as the US System.

Unit Abbreviation Equivalent
Second s Base unit
Minute min 60 seconds
Hour hr 60 minutes
Day 24 hours

Side-by-Side Comparison

Length

Quantity US System Metric System
Small Unit 1 inch 2.54 cm
Medium Unit 1 foot = 12 inches 0.3048 meters
Large Unit 1 mile = 5,280 feet 1.609 kilometres

Mass (Weight)

Quantity US System Metric System
Small Unit 1 ounce 28.35 grams
Medium Unit 1 pound = 16 ounces 0.4536 kilograms
Large Unit 1 ton = 2,000 pounds 907.18 kilograms

Volume

Quantity US System Metric System
Small Unit 1 teaspoon 4.93 millilitres
Medium Unit 1 cup = 8 fl oz 236.59 millilitres
Large Unit 1 gallon 3.785 litres

Temperature

System Freezing Point Boiling Point Conversion Formula
US (°F) 32°F 212°F °C = (°F - 32) × 5⁄9
Metric (°C) 0°C 100°C °F = (°C × 9⁄5) + 32

Summary

US System

  • Primarily used in the United States
  • Based on historical and customary units
  • Common in daily life, especially in the US

Metric System

  • Used worldwide
  • Decimal-based and easy to convert
  • Preferred for scientific and international contexts

References

Newell, D., & Tiesinga, E. (2019). The international system of units (SI), 2019 edition. Special Publication (NIST SP), National Institute of Standards; Technology, Gaithersburg, MD. https://doi.org/https://doi.org/10.6028/NIST.SP.330-2019
Poids et Mesures, B. I. des. (2024). Le système international d’unités/the international system of units (9th ed.) [Brochure]. https://www.bipm.org/en/publications/si-brochure