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**Add positive and negative fractions and decimals.**

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**Warm-Up Estimate the value of each expression. –6.2 + 9.9 18.31 – 22.9**

– (–0.44)

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**FRACTIONS Write all mixed numbers as improper fractions.**

Make the bottoms the same. put the negative on the top number. Use integer rules to add the numerators … the bottom stays the same. Simplify

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**Example 1 Find the sum of . Write fractions with a common denominator.**

Rewrite the problem with the negative in the numerator. Add the numerators. Simplify. Move the negative in front of the fraction.

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**DECIMALS Determine the sign of the answer. Do you add or subtract?**

Line up the decimal points & add or subtract.

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Example 2 The change in the value of Digimaxx stock last week was points. This week the change in the stock’s value was points. Find the total change in value of Digimaxx stock over the last two weeks. Write the problem. Write as improper fractions. Write with common denominators. Put the negatives in the numerators. Add and simplify.

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**Example 3 Find the value of −3.52 + 14.7.**

Only one decimal is negative. The answer will have the sign of the number with the larger absolute value. Line up the decimal points and subtract. − = 11.18

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Exit Problems Find each sum. −8.2 + (−2.3) (−0.6)

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Communication Prompt What are the steps you would go through to find the value of ?

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