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English2.4SpanishMultiplying Mixed NumbersHow do you multiply a mixed numberSSTATESTANDARDSby a ACTIVITY: Multiplying a Mixed Number and a FractionWork with a partner. Use a diagram to find the product.1223a. Sample: 1— —12What is two-thirds of 1—?1Think of 1 2 as three halves.121212121212Two of the halves is 1.1223So, 1— — 1.4914b. — 2—2c.14122— —1334— 3—d.ACTIVITY: Multiplying a Mixed Number and a FractionWork with a partner. How many squarefeet are in the piece of fabric?11ft41ft2a. Use the Distributive Propertyand find the sum of thetwo pieces.1 141262Chapter 2b. Rewrite the mixed numberas an improper fractionand multiply.Multiplying and Dividing Fractions5412
EnglishSpanish3ACTIVITY: Buried Treasure GameNumber of Players: 2Taking turns, each player will choose a treasure location. roll a number cube as many times as there are blanks in the expression. place the numbers in the blanks to form the largest possible valuefor that treasure location. check each other’s work.Players then total the values of their treasures (sum of the three expressions).The player with the larger total wins the game.( (( ( ?( ( ? ? ? ? ?4. IN YOUR OWN WORDS How do you multiply a mixed number by a fraction?Use what you learned about multiplying mixed numbers tocomplete Exercises 8 –15 on page 66.Section 2.4Multiplying Mixed Numbers63
English2.4SpanishLessonLesson TutorialsEXAMPLE1Using the Distributive Property1234Use the Distributive Property to find — 2—.12( )( ) ( )34123434121234Rewrite 2 — as the sum 2 —.— 2— — 2 —34 — 2 — —Use the Distributive Property.38 1 —Multiply.38 1—Add.Use the Distributive Property to find the product.23Exercises 4 –712351. — 1—16142. — 2—15273. — 4 —344. — 3 —Multiplying Mixed NumbersWrite each mixed number as an improper fraction. Then multiply asyou would with fractions.EXAMPLE2Multiplying a Fraction and a Mixed Number1234123412Find — 2—.1211434— 2— — —1 112 4118Multiply the numerators and the denominators.38 —, or 1—Simplify.38So, the product is 1 —.Chapter 2114Write 2 — as the improper fraction —. —6412Estimate — 3 1 —Multiplying and Dividing Fractions3812Reasonable? 1— 1—
EnglishSpanish3EXAMPLEMultiplying Mixed Numbers45234523Find 1— 3 —.Estimate 2 4 895113451— 3— — —323Write 1— and 3 — as improper fractions.9 115 3 —Multiply fractions. Divide out the common factor 3.133535 —, or 6 —Simplify.3535Reasonable? 6 — 8So, the product is 6 —. Multiply. Write the answer in simplest form.1613Exercises 8 –23125. — 1—EXAMPLE449786. 3— —25577. 1— 2—1108. 5— 2—Real-Life ApplicationA city is resurfacing a basketball court. Find the area of the court.Estimate 21 14 294A ℓw211m3Write the formula for the area of a rectangle.131213 21 — 13 —64327213 — —32113 m212Substitute 21— for ℓ and 13— for w.12Write 21— and 13— as improper fractions.964 27 —3 211Multiply fractions. Divide out common factors. 288Simplify.The area of the court is 288 square meters.Reasonable? 288 294 9. Find the area of a rectangular air hockey table that is14388— feet by 4— feet.Section 2.4Multiplying Mixed Numbers65
EnglishSpanishExercises2.4Help with Homework1. VOCABULARY What is an improper fraction?2. WRITING Describe how to multiply two mixed numbers.3. OPEN-ENDED Write two mixed numbers between 3 and 4 that have a productbetween 9 and 12.6) 39 (- 3) 3 (- 9) 4 (- 1)9 (-Use the Distributive Property to find the product.11456274. — 2 —59255. — 2 —215126. — 4 —587. — 5 —Multiply. Write the answer in simplest form.23132323122313. — 3 —384517. — 2 —8. 1— —12. 7 — —16. 4 — —16123420. 1— 6 —3531010. 2 — —4511. — 3 —593514. — 1—341315. 3 — —375618. 1— 189. 6 — —51234310235721. 2 — 2 —13254919. 15 2 —184522. 5 — 3 —11623. 2 — 4 —ERROR ANALYSIS Describe and correct the error in finding the product.24. 25.774 3 — 12 —1010 12(4512452— 7— (2 7) — —25)25 14 — 14 —14026. VITAMIN C A vitamin C tablet contains — gram of vitamin C. You take121— tablets every day. How many grams of vitamin C do you take every day?27. SCHOOL BANNER A banner is made for a football rally.a. What is the area of the banner?1b. A — -foot border is added on each side. What is4the new area of the banner?66Chapter 2Multiplying and Dividing FractionsGO PANTHERS!42ft311ft2
EnglishSpanish5849516ALGEBRA Evaluate the expression when x 5 —, y 2 —, and z 1—.17 28. 5 — z 29371330. x 2 — 6 —29. xy31. yz 5 —Multiply. Write the answer in simplest form.4738563432. — 4 — —110591633. 3 — 5 — 82311534. 2 — — 4 —2571235. 1— 5 — 4 —36. PICTURES Three pictures hang side by sideon a wall. What is the total area of the wallcovered by the pictures?14142in.inn.31001in.2101in.2101in.237. REASONING Is the product of two positive mixed numbers ever less than 1? Explain.38. GARDEN You plan to add a fountain to your garden.63ft45931ft6a. Draw a diagram of the fountain in the garden.Label the dimensions.1ft4b. Describe 2 methods for finding the area of thegarden that surrounds the fountain.1ft3c. Find the area. Which method did you use,and why?25The cooking time for a ham is — hour for each pound.39.34a. How long should you cook a ham that weighs 12— pounds?b. Dinner time is 4:45 p.m. What time should you start cooking the ham?Multiply. Write the answer in simplest form.253740. — —142341. — —SECTION 2.3567881542. — —Use the Distributive Property to rewrite the expression.44. 5(x 6)45. 9(x 3)A 15 B 60 SECTION 1.446. 4(7 x)48. MULTIPLE CHOICE How many inches are in 5 yards?C 120 Section 2.42943. — —47. 12(x 8)SKILLS REVIEW HANDBOOKD 180 Multiplying Mixed Numbers67
GARDEN You plan to add a fountain to your garden. a. Draw a diagram of the fountain in the garden. Label the dimensions. b. Describe 2 methods for fi nding the area of the garden that surrounds the fountain. c. Find the area. Which method did you use, and why? 39. Th
