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Lesson 10: Add and subtract rational numbers
In this lesson, you will add and subtract rational numbers that are not integers.
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Essential Question: How can you add and subtract positive and negative numbers that are not integers?
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Fraction steps to follow:
Write the fractions in improper fraction form. Find a common denominator – *LCD* Rewrite the fractions with the common denominator. Add or subtract the numerator while keeping the denominator the same. Simplify
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Decimal steps to follow:
Line up your decimal points. Bring your decimal down to your answer. Fill in where zeros are needed in the problem. Add or subtract to solve.
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Practice Problem 1 On Monday morning, when Victoria put some water in her swimming pool, the water level rose 2 ½ inches. By Tuesday morning, some water had evaporated and the level went down ¾ inch. What was the change in water level from Monday to Tuesday morning?
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Practice Problem 2 Emma has $14.36 overdrawn on her checking account. She writes a check for $6.85. What is the balance in her checking account now?
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Practice Problem 3 Jo Ann’s suitcase weights pounds under the limit set by the airline. Jeff’s suitcase is pounds over the limit. How much more does Jeff’s suitcase weigh than Jo Ann’s?
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Practice Problem 4 Mercury is one of the few elements that is a liquid at room temperature. The melting point of mercury is degrees Fahrenheit. Its boiling point is degrees Fahrenheit. How many degrees higher is the boiling point of mercury than its melting point?
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