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Using Multiplication & Division to Solve Problems Involving Rates TEKS 6.2C Lesson 7 (2 nd 6 Weeks)
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Ratios A ratio is a comparison of two quantities. When a ratio is written as a fraction, the first number is the numerator of the fraction and the second number is the denominator. EX: the ratio 1:5 = 1 5
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When a ratio is written with the two numbers separated by a colon, the colon is read as the word to and the ratio 1:5 is read one to five.
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Rate A rate is also a ratio. EX: If you walk 7 miles in 2 hours, the ratio 7:2 refers to the rate at which you walk.
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Use Multiplication & Division to Solve Problems Involving Ratios and Rates Use multiplication when you want to combine groups of equal size. Division is the opposite of multiplication. Use division when you want to separate a whole into groups of equal size.
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EX: Using Multiplication Tommy decided that he wanted to buy a new TV set at Wal-mart. He will make payments of $96 a month for a year. How much will Tommy pay for the TV at the end of the year?
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We know that there is 12 months in a year. Since Tommy will be paying $96 a month. We need to multiply $96 by 12 to figure out the total amount of the TV.
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Tommy decided that he wanted to buy a new TV set at Wal-mart. He will make payments of $96 a month for a year. How much will Tommy pay for the TV at the end of the year? 96 12x 2 1 1 91 9 069 2511 1 + Tommy will pay $1152 for the TV in a year.
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EX: Using Division A short order cook makes omelets at a breakfast diner. Each omelet takes 3 eggs. The cook has 36 eggs. How many omelets can he make?
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363 -3 1 0 6 2 - 6 0 The cook can make 12 omelets.
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