4-4 Multiply Mixed Numbers. Multiply. Write in simplest form. SOLUTION: SOLUTION: SOLUTION: SOLUTION: esolutions Manual - Powered by Cognero Page 1
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1 1. Multiply. Write in simplest form esolutions Manual - Powered by Cognero Page 1
2 A carp can travel at a speed of miles per hour. At this rate, how far can a carp travel in hours? A carp can travel miles in hours. esolutions Manual - Powered by Cognero Page 2
3 8. Juliette is making fruit salad. She purchased ounces each of 6 different fruits. How many ounces of fruit did she purchase? To find the ounces of fruit purchased, multiply by 6. So, Juliette purchased 58 ounces of fruit. 9. A waffle recipe calls for cups of flour. If Chun wants to make times the recipe, how much flour does he need? Chun needs cups of flour. 10. Model with Mathematics Use the formula d = rt to find the distance d a long-distance runner can run at a rate r of miles per hour for time t of hours. So, the runner can run miles. esolutions Manual - Powered by Cognero Page 3
4 11. Earth is about million miles from the Sun. Use the table shown. a. How far is Venus from the Sun? b. How far is Mars from the Sun? c. How far is Jupiter from the Sun? d. How far is Saturn from the Sun? a. Venus is about b. million miles from the Sun. Mars is about c. million miles from the Sun. Jupiter is about million miles from the Sun. d. esolutions Manual - Powered by Cognero Page 4
5 Saturn is about million miles from the Sun. Multiply. Write in simplest form esolutions Manual - Powered by Cognero Page 5
6 14. Persevere with Problems Analyze each product in the table. a. Why is the first product less than? b. Why is the second product equal to? c. Why is the third product greater than? d. Based on your observations, make a conjecture about the product when one of the factors is a number less than 1. a. Sample answer: The first product is less than because the first factor is less than one. You only want a part of a whole, so the product is less than the second factor. b. Sample answer: The second product is equal to the second factor because of the Identity Property. The product of any number and one is that number. c. Sample answer: The third product is greater than the second factor because the first factor is greater than one. So, the product is greater than. d. Sample answer: When one of the factors is less than one, the product will be less than the other factor. 15. Use Math Tools Without multiplying, determine whether the product is located on the number line at point A, B, or C. Explain your reasoning. The product must be located at point B. The value is being multiplied by a number greater than 1, so the product must be greater than. But the value is being multiplied by a number less than 1, so the product must be less than. Therefore, the product must be greater than and less than. esolutions Manual - Powered by Cognero Page 6
7 16. Model with Mathematics Give two examples of mixed numbers that when multiplied by give a product between and 1? Sample answer: and Multiply. Write in simplest form esolutions Manual - Powered by Cognero Page 7
8 esolutions Manual - Powered by Cognero Page 8
9 Model with Mathematics A reproduction of Claude Monet s Water-Lilies has dimensions inches by inches. Find the area of the painting. Area = length width The area of the painting is square inches. esolutions Manual - Powered by Cognero Page 9
10 24. A photograph is inches wide. It is being enlarged to 3 times its original size. What is the width of the enlarged photograph? To find the width of the enlarged photograph, multiply by 3. So, the width of the enlarged photograph is 16 inches. 25. Jalisa is making bracelets with leather bands. Each bracelet uses inches of leather banding. She plants to make 4 bracelets. How many inches of leather banding will she need? To find the total amount of leather needed, multiply by 4. So, Jalisa will need 31 inches of leather banding. 26. Use Math Tools Find examples of mixed numbers in a newspaper or magazine, on television, or on the Internet. Write a real-world problem in which you would multiply mixed numbers. See students' work esolutions Manual - Powered by Cognero Page 10
11 27. The picture below is enlarged to times its original size. Fill in the boxes with the dimensions of the enlargement. To find the new dimensions, multiply the original by So the new dimensions are in by in 28. Ally is interested in the following classes. She wants to know the total time for each class before she decides to sign up. Complete the table to show the total time for each class. esolutions Manual - Powered by Cognero Page 11
12 Ally decides on wood carving and wants to take another class. She plans to attend no more than 5 hours of class per week. Which additional class could she choose? Explain. To find the total time, multiply the number of day by the time and the number of weeks. Cooking class will take hours Dance will take 10 hours Pottery will take 36 hours ; Sewing will take 18 hours Wood Carving will take hours To find how long wood carving class is for one week, multiply the days by the time. Wood Carving class meets for hours each week. esolutions Manual - Powered by Cognero Page 12
13 Ally has up to hours for the other class. Find the length of the other class to see if Ally has enough time. Cooking class is too long. Ally has enough time for dance class. Ally doesn't have enough time for pottery since one class is over hours and the class meets twice a week. 3 1 = 3 Ally doesn't have enough time for sewing. Ally can take dance. Find the equivalent measurement foot = inches Use the Mathematics Reference Sheet at the back of your book to memorize common equivalent measures. 1 foot = 12 inches gallon = quarts Use the Mathematics Reference Sheet at the back of your book to memorize common equivalent measures. 1 gallon = 4 quarts yard = feet Use the Mathematics Reference Sheet at the back of your book to memorize common equivalent measures. 1 yard = 3 feet esolutions Manual - Powered by Cognero Page 13
Chapter Review. Express each ratio as a fraction in simplest form girls out of 24 students SOLUTION: ANSWER:
Express each ratio as a fraction in simplest form. 1. 10 girls out of 24 students 2. 6 red cars to 4 blue cars 3. 10 yards to 8 inches Convert 10 yards to inches. Three are 36 inches in 1 yard. esolutions
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1. Add or subtract. Write in simplest form. 2. Rename using the LCD, 12. 3. 4. Rename using the LCD, 10. 5. Rename using the LCD, 12. esolutions Manual - Powered by Cognero Page 1 6. Since is less than,
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II The temperature was -4 F. II The temperature changed from 8. II Which equation
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4-4 Scientific Notation
Express each number in standard form. 1. 4.16 10 3 4160 2. 3.2 10 2 0.032 3. 1.075 10 5 107,500 Express each number in scientific notation. 4. 1,600,000 1.6 10 6 5. 135,000 1.35 10 5 6. 0.008 8 10 3 Estimate
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Use the graph of each function to estimate the indicated function values. Then confirm the estimate algebraically. Round to the nearest hundredth, if necessary. 2. 6. a. h( 1) b. h(1.5) c. h(2) a. g( 2)
12-1 Circles and Circumference
Find the circumference of each circle. Round to the nearest tenth. 1. Find the circumference of each circle. Round to the nearest tenth. 7. 2. 37.7 in. 8. 22.0 m 3. 25.1 ft 9. 6.3 cm 50.9 cm 4. diameter
Welcome to OSA Training 2015 Basic Math. By: Greg Hinckson Irena Nedeljkovic Iris Bishop Mitch Volk
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NAME DATE PERIOD Final Exam Practice Problems Write the letter for the correct answer in the blank at the right of each question. 1. Find the perimeter of a rectangle with length 8 inches and width 9 inches.
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