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Preview Warm Up California Standards Lesson Presentation

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Warm Up Write each number as an improper fraction. 1 7 3 7 15 8 2 17 5 1. 2 2. 1 3. 3 3 8 5 2 20 3 3 43 8 4. 6 5. 5 3 8

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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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**Additional Example 1A: Multiplying Fractions**

Multiply. Write the answer in simplest form. 1 8 6 7 = 1(6) 8(7) Multiply numerators. Multiply denominators. 3 4 1(6) 8(7) = Look for common factors: 2. 3 28 = Simplify.

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**Additional Example 1B: Multiplying Fractions**

Multiply. Write the answer in simplest form. 2 3 1 2 – 4 1 2 2 3 – 4 9 2 = Write 4 as an improper fraction. 12 = –2(9) 3(2) Multiply numerators. Multiply denominators. 1 –1 3 1 –2(9) 3(2) = Look for common factors: 2, 3. –3 = Simplify.

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**3 5 5 8 3(5) 5(8) = 3(5) 5(8) = 3 8 = Multiply numerators.**

Check It Out! Example 1A Multiply. Write the answer in simplest form. 3 5 5 8 = 3(5) 5(8) Multiply numerators. Multiply denominators. 1 3(5) 5(8) = Look for common factors: 5. 3 8 = Simplify.

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**7 8 4 7 – = –7(4) 8(7) –1 –7(4) 8(7) = 1 2 = – Multiply numerators.**

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

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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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**Additional Example 2: Application**

Joy completes of her painting each day. How much of her painting does she complete in a 7 day week? 1 20 1 20 1 20 71 (7) = Write the integer 7 as a fraction. 1 • 7 20 • 1 Multiply numerators and denominators. = 7 20 = Joy completes of her painting in a 7-day week. 7 20

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Check It Out! Example 2 1 7 Mark runs mile each day. What is the total distance Mark runs in 5 days? 1 7 1 7 51 (5) = Write the integer 5 as a fraction. 1 • 5 I7 • 1 Multiply numerators and denominators. = 5 7 = Mark runs mile in 5 days. 5 7

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**To multiply decimals, first multiply as you would with integers**

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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**Additional Example 3: Multiplying Decimals**

2 0 decimal places –0.51 2 decimal places –1.02 0 + 2 = 2 decimal places. B. (–0.4)(–3.75) –3.75 2 decimal places -0.4 1 decimal place 1.500 2 + 1 = 3 decimal places or 1.5

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Check It Out! Example 3 Multiply. A. 3.1(0.28) 3.1 1 decimal place 2 decimal places 0.868 1 + 2 = 3 decimal places B. (–0.4)(–2.53) –0.4 1 decimal place –2.53 2 decimal places 1.012 1 + 2 = 3 decimal places

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**– – Lesson Quiz Multiply. 1 7 2 7 1. 1 9 2 3 5 8 5 12 2. 3. –0.47(2.2)**

–1.034 1 2 45 4. Evaluate 2 (x) for x = . 2 8 9 Edgar runs mile each day. What is the total distance that Edgar runs in a 7-day week? 5. 6 miles 2 9

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