Course Multiplying Rational Numbers Warm Up Write each number as an improper fraction

Course Multiplying Rational Numbers Problem of the Day The sum of three consecutive integers is 168. What are the three integers? 55, 56, and 57

Course Multiplying Rational Numbers Learn to multiply fractions, mixed numbers, and decimals. TB P

Course Multiplying Rational Numbers Notice that multiplying a fraction by a whole number is the same as multiplying the whole number by just the numerator of the fraction and keeping the same denominator = Repeated addition = = Multiplication

Course Multiplying Rational Numbers RULES FOR MULTIPLYING TWO RATIONAL NUMBERS If the signs of the factors are the same, the product is positive. If the signs of the factors are different, the product is negative. (+) (+) = (+) or (–) (–) = (+) (+) (–) = (–) or (–) (+) = (–)

Course Multiplying Rational Numbers – Multiply. Write the answer in simplest form. Multiply. Simplify. –48 7 = – = –8 6 7 = To write as a mixed number, divide: Helpful Hint –48 7 –48 7 = –6 R = –6 Additional Example 1A: Multiplying a Fraction and an Integer

Course Multiplying Rational Numbers Multiply. Simplify = 16 3 = = 5 5(3) = = Multiply. Write the answer in simplest form. Additional Example 1B: Multiplying a Fraction and an Integer

Course Multiplying Rational Numbers A fraction is in lowest terms, or simplest form, when the numerator and denominator have no common factors. Caution!

Course 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 2A: Multiplying Fractions

Course Multiplying Rational Numbers –2(9) 3(2) = = 3 1 Simplify. –3 = Multiply numerators. Multiply denominators. Look for common factors: 2, – 1 –1–1 Additional Example 2B: Multiplying Fractions Multiply. Write the answer in simplest form.

Course Multiplying Rational Numbers Multiply. Product is negative with 2 decimal places. 2 (–0.51) = –1.02 B. (–0.4)(–3.75) Product is positive with 3 decimal places. (–0.4) (–3.75) = You can drop the zeros after the decimal point. = 1.5 Additional Example 3: Multiplying Decimals A. 2(–0.51) 00

Course Multiplying Rational Numbers Joy completes of her painting each day. How much of her painting does she complete in a 7 day week? Write as an improper fraction Additional Example 4: Application = (7) = 1 20 Multiply = 7 20 Joy completes of her painting in a 7-day week. 7 20

Course 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