zuai-logo

Unit Conversion

Lisa Chen

Lisa Chen

7 min read

Study Guide Overview

This study guide covers unit conversions, focusing on conversions within and between systems (metric, US customary, time, and angle). It emphasizes unit analysis (dimensional analysis) as a key problem-solving technique and provides examples of common conversion factors and temperature conversions. The guide also includes practice questions and exam tips.

πŸš€ Unit Conversions: Your Ultimate SAT Guide πŸš€

Hey there, future SAT master! Unit conversions might seem like a small part of the test, but they're super important for nailing those real-world problems and data interpretation questions. Think of this as your go-to guide for acing any conversion question that comes your way. Let's get started!

🧭 Navigating Unit Conversions

Unit conversion is all about changing measurements from one unit to another. It's like speaking different languages, but with numbers! You'll need to be comfortable with conversions within systems (like metric or US customary) and between them. Let's break it down:

πŸ“ Unit Conversions Within Systems

🌍 Metric System Conversions

The metric system is super logical, using prefixes to show the size of the units. Think of it like a family tree where each prefix is a different generation.

  • Key Prefixes:

    • kilo- (1000)
    • centi- (0.01)
    • milli- (0.001)
  • Conversion Trick: Move the decimal point based on the prefix. Going bigger? Move left. Going smaller? Move right. πŸ’‘

    • Example 1: Convert 5.6 kilometers to meters
      • 1 kilometer = 1000 meters
      • Move decimal 3 places right: 5.6 km = 5600 m
    • Example 2: Convert 2300 milliliters to liters
      • 1 liter = 1000 milliliters
      • Move decimal 3 places left: 2300 mL = 2.3 L

πŸ‡ΊπŸ‡Έ US Customary System Conversions

The US system is a bit less straightforward, using specific units for length, weight, and volume. You'll need to memorize some conversion factors or use a reference chart.

  • Key Units:

    • Length: inches, feet, yards, miles
    • Weight: ounces, pounds, tons
    • Volume: fluid ounces, cups, pints, quarts, gallons
  • Conversion Trick: Use memorized conversion factors.

    • Example 1: Convert 6 feet to inches
      • 1 foot = 12 inches
      • 6 feet Γ— 12 inches/foot = 72 inches
    • Example 2: Convert 3 quarts to cups
      • 1 quart = 4 ...

Question 1 of 10

πŸŽ‰ How many meters are there in 7 kilometers?

70 meters

700 meters

7,000 meters

70,000 meters