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Understanding Customary Units and Dimensional Analysis in Measurements

This guide explores the basics of converting customary units of length, weight, capacity, and time using dimensional analysis. It provides essential conversion facts, such as 1 foot equals 12 inches and 1 yard equals 3 feet, along with weight comparisons like 1 pound equaling 16 ounces. Additionally, it includes examples for converting measurements, such as determining how many inches are in a yard, how many cups are in a quart, and how to calculate seconds in a day. These principles are vital for applications in chemistry and physics.

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Understanding Customary Units and Dimensional Analysis in Measurements

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  1. Warm up • True or False = 1 Explain Can you think of other ways to make 1 using a fraction bar?

  2. Customary Units

  3. Length • 1 ft = 12 in • 1 yd = 3 ft • 1 mi = 1,760 yd = 5,280 ft

  4. Weight 1 lb = 16 oz 1 T = 2,000 lb

  5. Capacity • 1 c = 8 fl oz • 1 pt = 2 c • 1 qt = 2 pt • 1 gal = 4 qt

  6. Time • 1 min = 60 sec • 1 hr = 60 min • 1 day = 24 hr • 1 yr = 365 days

  7. Converting measurements using Dimensional Analysis We use dimensions (length, weight, etc) Can help when you take Chemistry, Physics

  8. Example 1 • 1 yard is how many inches? • Rewrite as: 1 yd = ______ in • To solve:

  9. Example 2 • A quart of chocolate milk will be shared among friends. How many cups of milk will there be? • Rewrite as: 1 qt = ______ c • To solve:

  10. Example 3 • How many seconds are in a day? • Rewrite as: 1 day = ______ sec • To solve:

  11. Extension • How many ft/sec is 60 mi/hr?

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