Unit 2 Section 9 Conversions.notebook October 27, 2015 Oct 6­3:41 PM Rates, Ratios and Conversions Unit 2 Jul 31­9:19 AM Unit 2 Section 9 Conversions.notebook October 27, 2015 Rates and Ratios Ratio ­ a comparison of two numbers. (ratio must be in the same units) Examples: 5 to 3 5:3 5 3 Rate ­ a ratio that compares two unlike terms Example: 180 miles 3 hours Unit Rate ­ the rate for one unit of a given quantity Example: 180 miles the unit rate is 60 miles or 60 mi/h 3 hours 1 hour Nov 15­8:01 AM Example 1: What is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15? Nov 15­7:58 AM Unit 2 Section 9 Conversions.notebook October 27, 2015 A conversion factor is a ratio of two equivalent measure in different units. 1 ft A conversion factor is always equal to 1, such as . 12 in Take out your formula sheets for a list of common equivalent units of measure. Copy these additional conversions down. They will be helpful for converting between systems. 1 mile = 5280 ft 1 kg ≈ 2.2 lb 1 m ≈ 3.28 ft. 1 gal ≈ 3.8 liters 1 yd= 3 ft 1 gal = 4 quarts 1 ft = 12 in Nov 12­8:46 PM Example 2: What is the given amount converted to the given units? (Use a conversion factor!) a) 330 min; hours b) 15 kg; grams c) 3 yards; inches Nov 12­8:50 PM Unit 2 Section 9 Conversions.notebook October 27, 2015 Example 3: The CN Tower in Toronto, Canada, is about 1815 ft tall. About how many meters tall is the tower? Nov 12­8:53 PM Example 4: A student ran the 50­yd dash in 5.8 s. At what speed did the student run in miles per hour? Round your answer to the nearest tenth. Nov 12­8:55 PM Unit 2 Section 9 Conversions.notebook October 27, 2015 Example 5: What is the given amount converted to the given units? a) 2 qt/min = __ gal/s b) 2.2 kg = ___ lb c) 60 ft/s = ___ km/h Nov 15­7:56 AM Homework: Homework Packet page 21 Oct 6­3:47 PM Unit 2 Section 9 Conversions.notebook October 27, 2015 Oct 6­3:47 PM