Question: You can run at a rate of 6 miles per hour. How many inches per minute is this?

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Presentation transcript:

Question: You can run at a rate of 6 miles per hour. How many inches per minute is this?

Time 60 sec = 1 min 60 min = 1 hr 24 hours = 1 day 7 days = 1 week 52 Weeks = 1 yr 12 Months = 1 yr

Length 12 Inches = 1 Foot 3 Feet = 1 Yard 5280 Feet = 1 Mile 10 mm = 1 cm 100 cm = 1 meter 1000 meters = 1 km

Capacity 8 fl oz = 1 cup 2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gal mL = 1 L 1000

Weight oz =1 lb 16 2000 lbs = 1 T g = 1 kg 1000

– process of including units of measure as factors A remote control car travels at a rate of 10 ft per second. How many inches per second is this? Dimensional Analysis – process of including units of measure as factors 10 ft 1 sec . 12 in 1 ft in 1 sec 120 = Multiplying by is the same as multiplying by 1 12 in 1 ft Cross cancelling the units, not the numbers

. 176 ft 60 sec ft 1 sec 1 min = 1 min 60 sec 10,560 A skydiver is falling at a rate of 176 ft per second. How many feet per minute is he falling? 176 ft 1 sec . 60 sec 1 min ft 1 min 10,560 = Multiplying by is the same as multiplying by 1 60 sec 1 min Cross cancelling the units, not the numbers

Alonzo fills buckets at a rate of 6 gallons per minute. What is the rate in gallons per hour? 6 gal 1 min . 60 min 1 hr gal 1 hr 360 = Multiplying by is the same as multiplying by 1 60 min 1 hr Cross cancelling the units, not the numbers

. . 6 gal 1 min 60 min 1 hr 4 qts 1 gal qts 1 hr = 1440 Alonzo fills buckets at a rate of 6 gallons per minute. What is the rate in quarts per hour? 6 gal 1 min . 60 min 1 hr . 4 qts 1 gal 1440 qts 1 hr = If we ended here we would have 360 GALLONS per hour….

. . 5 yd 1 sec 60 sec 1 min 60 min 1 hr yds 1 hr = Henry rides his bike at a speed of 5 yards per second. How many yards per hour? 5 yd 1 sec . 60 sec 1 min . 60 min 1 hr yds 1 hr 18,000 = If we ended here we would have 300 yards per MINUTE….

. . 7 ft 60 sec 1 yd yds 420 yds = 1 sec 1 min = 3 ft 1 min 3 min 140 Marvin walks at a rate of 7 feet per second. How many yards per minute is this? 7 ft 1 sec . . 60 sec 1 min 1 yd 3 ft 420 yds 3 min yds 1 min 140 = = If we ended here we would have 420 FEET per minute. Divide numerator by denominator

. . 2 ft 1 min 1 mi 5280 ft 60 min 1 hr mi 1 hr = = 320 mi 5280 min An ant moves at a rate of 2 feet per minute. How many miles per hour is that? 2 ft 1 min . 1 mi 5280 ft . 60 min 1 hr mi 1 hr 320 mi 5280 min 0.06 = = If we ended here we would have 2 miles per 5280 MINUTES Divide numerator by denominator

. . . 6 mi 5280 ft 12 in 1 hr in = 1 hr = 1 mi 1 ft 60 min 1 min Original Question: You can run at a rate of 6 miles per hour. How many inches per minute is this? 6 mi 1 hr . 5280 ft 1 mi . 12 in 1 ft . 1 hr 60 min 380,160 in 60 min in 1 min 6336 = = If we ended here we would have 31,680 FEET per HOUR. If we ended here we would have 380,160 inches per HOUR. Divide numerator by denominator

A water fall dumps 1,000 pints per second A water fall dumps 1,000 pints per second. How many gallons per hour is that? . . . . 1000 pt 1 sec 1 qt 2 pts 1 gal 4 qt 60 sec 1 min 60 min 1 hr 3,600,000 gal 8 hrs gal 1 hr 450,000 = = If we ended here we would have QUARTS per SECONDS. If we ended here we would have gallons per SECONDS. If we ended here we would have gallons per MINUTES Divide numerator by denominator