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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers Warm Up Write each number as an improper fraction

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers. California Standards

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers 1(6) 8(7) = Multiply. Write the answer in simplest form Simplify = 1818 = 1(6) 8(7) Multiply numerators. Multiply denominators. Look for common factors: Additional Example 1A: Multiplying Fractions

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers –2(9) 3(2) = = 3 1 Simplify. –3 = Multiply numerators. Multiply denominators. Look for common factors: 2, – 1 – 1 Additional Example 1B: Multiplying Fractions Multiply. Write the answer in simplest form. 4 Write 4 as an improper fraction – – =

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers 3(5) 5(8) = Multiply. Write the answer in simplest form Simplify = 3535 = 3(5) 5(8) Multiply numerators. Multiply denominators. Look for common factors: Check It Out! Example 1A

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers –7(4) 8(7) = = 1 2 Simplify. Multiply numerators. Multiply denominators. Look for common factors: 4, – 1 –1– = – Multiply. Write the answer in simplest form. Check It Out! Example 1B

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers To multiply a fraction by an integer, first write the integer as a fraction with a denominator of 1. Then multiply as you would with two fractions.

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers Joy completes of her painting each day. How much of her painting does she complete in a 7 day week? Write the integer 7 as a fraction Additional Example 2: Application = (7) = 1 20 Multiply numerators and denominators = 7 20 Joy completes of her painting in a 7-day week. 7 20

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers Mark runs mile each day. What is the total distance Mark runs in 5 days? Write the integer 5 as a fraction Check It Out! Example 2 = (5) = 1717 Multiply numerators and denominators I7 1 = 5757 Mark runs mile in 5 days. 5757

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers To multiply decimals, first multiply as you would with integers. The number of decimal places in the product is equal to the sum of the number of decimal places in the factors.

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers Multiply. 0 decimal places2 B. (–0.4)(–3.75) – Additional Example 3: Multiplying Decimals A. 2(–0.51) – decimal places – = 2 decimal places. 2 decimal places 1 decimal place = 3 decimal places or 1.5

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers Multiply. 1 decimal place3.1 B. (–0.4)(–2.53) –0.4 –2.53 Check It Out! Example 3 A. 3.1(0.28) decimal places = 3 decimal places 1 decimal place 2 decimal places = 3 decimal places

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Evaluating Algebraic Expressions 2-4 Multiplying Rational Numbers 4. Evaluate 2 (x) for x =. 1. Lesson Quiz Multiply. – – –0.47(2.2) – Edgar runs mile each day. What is the total distance that Edgar runs in a 7-day week? miles 2929

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