Name _______________ Period _________ Oregon Focus Quotient Fraction Remainder www.oregonfocus.com Username: grantspass Password: oregon62 Block 2 ~ Multiplying and Dividing Decimals Name_______________________________________ Per____________ Self-Assessment Track your understanding. Lesson Target # 2.1 2.2 2.3 2.4 I can find products of expressions involving multi-digit whole numbers. I can find products of expressions involving decimals. I can find quotients of expressions where whole numbers are divided by 1-digit whole numbers, including remainders. I can find quotients of expressions where whole numbers are divided by multidigit whole numbers, including remainders. Progress (shade this in) Starting… Getting there…. Got it!! Starting… Getting there…. Got it!! Starting… Getting there…. Got it!! Starting… Getting there…. Got it!! 2.5 I can find quotients of expressions where decimals are divided by whole numbers. Starting… Getting there…. Got it!! 2.6 I can find quotients of expressions where decimals are divided by decimals. Starting… Getting there…. Got it!! Look at your ratings to answer the following questions. What do I understand well? What do I still need to work on? What is my plan to improve? pg. 3 DATE: ________________ WARM-UP: Standard Algorithm for Multiplication 1. 2. 3. Multiply right to left. Start with the ones column and move to tens column (and so on). Regroup when possible. Add any partial products to find the final product. ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 4 DATE: ____________ LEARNING TARGET: VOCABULARY: NOTES & EXAMPLES: Multiplying with Decimals 1. Multiply as if the numbers were whole numbers. 2. Count number of places after the decimal points in each factor. 3. Count the same number of places in the product starting from the right and moving left. 4. Insert zeros, if needed, to hold place value. Delete zeros that are not necessary. 5. Put the decimal point where you stop counting in the answer. ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 5 Lesson 2.2 ~ Multiplying Decimals Find each product. 1. 4.5 5 2. 9 9.13 3. 7.203 6 4. Monique bought four pairs of shoes that were on sale for $17.95. How much did she pay altogether? 5. Taylor paid $0.22 cents for every text message he sent. If he sent 55 text messages this month, how much did he spend? 6. 7.3 4.2 7. 5.23 3.48 8. 8.14 9.2 9. 10.02 6.53 10. 3.99 2.18 11. 0.5 0.3 12. Riley bought 3.5 pounds of dried apples. They cost $2.56 per pound. How much did Riley pay for the dried apples? 13. Treva noticed that the price tag under a 12.5 ounce box of crackers at the grocery store said $0.26 per ounce. How much did the box of crackers cost? 14. 0.02 0.003 15. 1.5 0.07 16. 0.91 0.06 17. 5 0.043 18. 0.07 0.03 19. 0.004 0.9 ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 6 Lesson 2.2C ~ Multiplying Decimals Name__________________________________________ Period______ Date____________ Use the information in the table below to solve each problem. Celery: $0.62 per pound Peaches: $1.15 per pound Apples: $1.09 per pound Chicken: $2.38 per pound Ground Beef: $2.66 per pound Pork Roast: $1.89 per pound Milk: $2.30 per gallon Cheese: $3.29 per pound Eggs: $0.89 per dozen Bread: $1.12 per loaf Hamburger Buns: $1.52 per package Muffins: $3.25 per package 1. Melissa bought 3 pounds of celery, 2 pounds of ground beef and 3 loaves of bread. How much did she spend in all? 2. Casey bought 6 pounds of chicken, 2 pounds of cheese and 2 gallons of milk. Eilee bought 5 pounds of ground beef, 3 packages of muffins and 4 pounds of peaches. a. Who spent the most? b. How much more did they spend than the other person? 3. Andrea bought 2 packages of hamburger buns, 3 pounds of ground beef and 5 pounds of apples. She had a $20 bill. a. Did she have enough? b. If so, how much change did she receive? If not, how much more money does she need? 4. Carla bought 4 pounds of chicken while it was on sale “Buy one pound, get one pound free.” She bought 3 packages of muffins because she had three $0.75 cent off coupons. If she had $15 to spend, how much change would she get back? 5. You have $30 to spend on groceries. Make a grocery list using the items and prices on the table above, buying multiple pounds of multiple items. (One pound is only allowed to bring final total closest to $30.) Write the grocery list, number of pounds purchased and final price for each item. Total the final price of your groceries. ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 7 DATE: ________________ WARM-UP: ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 8 GAME 1 Round 1 Factor 1 Factor 2 Product Factor 1 Factor 2 Product 2 3 4 5 6 GAME 2 Round 1 2 3 4 5 6 ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 9 DATE: ________________ WARM-UP: Standard Algorithm for Division Divide Multiply Subtract Drop Down Repeat ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 10 DATE: ____________ LEARNING TARGET: VOCABULARY: NOTES & EXAMPLES: ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 11 Lesson 2.3 ~ Dividing by 1-Digit Numbers Name__________________________________________ Period______ Date____________ Find each quotient. Write any remainder as a decimal. 1. 72 ÷ 6 = 2. 92 ÷ 5 = 3. 75 ÷ 4 = 4. Morgan had 35 slices of banana bread to put on trays. She used 4 trays and put an equal number of slices on each tray. How many slices were on each tray? How many slices were left over? Find each quotient. Write any remainder as a fraction in simplest form. 5. 48 ÷ 5 = 6. 51 ÷ 3 = 7. 62 ÷ 6 = 8. Barbara had 55 pounds of dog food for her 4 dogs. She fed her dogs equal amounts of dog food before purchasing more. How many pounds of dog food would each dog eat before she had to purchase more? Use the information on the graph to answer the each question. 9. J.J.'s Cookie Company put 4 brownies in each package. How many packages of brownies did they make? How many brownies were left over? J.J.'s Cookie Company 50 45 45 40 40 38 36 35 10. Six oatmeal raisin cookies were in each package. How many packages were there? How many oatmeal raisin cookies were left over? 30 Brownies Chocolate Chip Cookies Sugar Cookies Oatmeal Raisin Cookies 11. J.J.'s Cookie Company put 3 chocolate chip cookies in each package. How many packages of chocolate chip cookies did they make? How many chocolate chip cookies were left over? 12. Kelly wanted to buy 20 packages of sugar cookies. She saw that J.J.'s Cookie Company packaged the sugar cookies with 2 in each package. a. Were there enough sugar cookie packages for Kelly to buy? b. If so, how many packages were left over? If not, how many more packages would she need? ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 12 Lesson 2.4 ~ Dividing by 2-Digit Numbers Name__________________________________________ Period______ Date____________ Find each quotient. Write any remainder as R__. 1. 132 12 = 2. 231 10 = 3. 414 15 = 4. Melanie had 152 stickers to make scrapbook pages. She put 12 stickers on each page. How many pages did she make? How many stickers were left over? Find each quotient. Write any remainder as a fraction in simplest form. 5. 247 10 = 6. 326 14 = 7. 455 11 = 8. Tate ran 115 miles in 10 days while training for his marathon. If he ran the same number of miles each day, how many miles did he run each day? Find each quotient. Write any remainder as R__ and as a fraction in simplest form. 9. 1540 14 = 10. 1642 13 = 11. 4550 20 = 12. Charlie had 150 feet of wire. If he cut the wire into 12 equal pieces, how long was each piece of wire? 13. Trevor organized his baseball cards into groups of 10. If he had 314 baseball cards, how many groups of cards did he have? How many cards were left over? 14. Misty had 1,215 coins. She put the coins into a coin collector book that could hold 12 coins on each page. How many pages did she use? How many coins were left over? 15. Bailey drove 8,407 miles over 14 days. If she drove the same amount of miles each day, how many miles did she drive each day? ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 13 DATE: ________________ WARM-UP: Dividing decimals with whole numbers 1. Divide as if both dividend and divisor are whole numbers. 2. Move the decimal point into the quotient directly above the decimal point in the dividend. 3. Insert zeros if necessary to hold place value. 4. Some answers will need to be rounded to a given place value. Good to know! Sometimes you may need to round to a designated place-value. Divide until the quotient has one more place-value position than where it is being rounded to. (This helps you know whether to round up or down.) You may need to add one or more zeros at the end of the decimal dividend to find the quotient. ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 14 DATE: ____________ LEARNING TARGET: VOCABULARY: NOTES & EXAMPLES: ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 15 Lesson 2.5 ~ Dividing Decimals by Whole Numbers Name__________________________________________ Period______ Date____________ Find each quotient. 1. 7.2 3 2. 5.6 5 3. 15.4 2 4. 9.46 4 5. 16.8 6 6. 20.1 5 At Frank’s Diner, the following items are often ordered. Look at the prices and decide what each family bought. Cheeseburger: $7.95 Club Sandwich: $6.65 Fish & Chips: $10.80 7. The Pengras spent $31.80 on four __________________. 8. The Maynards spent $32.40 on three __________________. 9. The Ibsens spent $33.25 on five __________________. 10. The Littles spent $64.80 on six __________________. 11. The Nichols spent $15.90 on two _________________ and $13.30 on two ________________. 12. 0.58 20 13. 1.04 25 14. 0.76 16 15. Eighteen people split $454.50 evenly. How much money did each person receive? Find each quotient. Round your answer to the nearest hundredth. 16. 7.93 4 17. 15.32 6 18. 25.56 7 19. Sebastian bought 7 pounds of bulk flour. The total cost was $2.65. What is the cost of the flour per pound? Round to the nearest penny. ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 16 DATE: ________________ WARM-UP: Dividing decimals with decimals 1. Change the divisor into a whole number by moving the decimal to the right. 2. Move the decimal point in the dividend the same number of places to the right as was moved in the divisor. 3. Divide the dividend by the divisor. 4. Move the decimal point into the quotient directly above the decimal point in the dividend. 5. Insert zeros, if necessary, to hold place values. ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 17 Lesson 2.6 ~ Dividing Decimals by Decimals Name__________________________________________ Period______ Date____________ Rewrite each division problem so the divisor is a whole number. 1. 10.49 5.3 2. 5.9 0.6 3. 6.912 1.92 4. 6.4 0.8 5. 1.4 0.5 6. 8.25 3.3 7. 26.4 9.6 8. 56.16 8.64 9. 65.658 7.06 Find each quotient. 10. Angela spent $15.40 at the mall. Derrick spent $38.50. How many times greater was Derrick’s spending than Angela’s spending? 11. Trent used 2.5 pounds of candy to build an elaborate gingerbread house. Louisa used 3.25 pounds of candy for her gingerbread house. How many times greater was the amount of candy that Louisa used than the amount that Trent used? Find each quotient. Round to the nearest tenth, if necessary. 12. 8.53 0.7 13. 11.781 0.25 14. 14.36 2.14 15. 44.98 3.9 16. 65.23 6.4 17. 23.987 6.2 18. Milan bought 2.5 pounds of dried cranberries for $4.95. How much did the dried cranberries cost for one pound to the nearest cent? 19. Chase lived 24.3 miles away from the middle school. Katira lived 10.7 miles away from the middle school. How many times greater was the distance that Chase lived away from the middle school than the distance that Katira lived away from the middle school? Round to the nearest tenth, if necessary. ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 18 DATE: ________________ WARM-UP: ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 19 GAME 1 Round Spin Numbers 1 Record numbers as tenths and hundredths 0.____ ÷ 0.0____ 2 0.____ ÷ 0.0____ 3 0.____ ÷ 0.0____ Quotient Score Quotient Score 4 5 6 GAME 2 Round Spin Numbers 1 Record numbers as tenths and hundredths 0.____ ÷ 0.0____ 2 0.____ ÷ 0.0____ 3 0.____ ÷ 0.0____ 4 5 6 ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 20 Block 2 ~ Multiplying and Dividing Decimals School Party For use after Lesson 2.4 Name__________________________________________ Period______ Date____________ The students at Alejo Middle School are organizing a whole school pizza party. There are 756 students in the middle school. Use the information below to help the students plan their party. Determine how many pizzas of each type should be ordered and how many cases of each beverage should be ordered. Determine the total cost for the pizza and beverages. Use mathematics to justify the order. The students have a maximum of $900 to spend. It is assumed that all students will attend the party At least 270 of each type of beverage must be ordered. The students must order at least 350 slices of each type of pizza. Items are sold in the given quantities. Students can purchase multiples of each item, but they cannot split an item to purchase a portion. Beverages Cost Pizzas Cost Soda pop $4.75 for case of 20 Cheese $4.99 for medium – 10 slices Water bottles $2.60 for case of 24 Pepperoni $7.50 for large – 12 slices Juice boxes $3.24 for case of 10 Hawaiian $9.25 for large – 12 slices ©2013 SMC Curriculum Core Focus on Decimals & Fractions pg. 21 Block 2 Review ~ Multiplying and Dividing Decimals Name__________________________________________ Period______ 1. What is the value of 48 19? 5. What is the value of 0.24 0.05? A. B. C. D. A. B. C. D. 67 432 893 912 2. Kyle put 56 boxes of crayons on a shelf. Each box of crayons held 64 crayons. How many crayons were on the shelf? A. B. C. D. 120 crayons 560 crayons 3,584 crayons 4,160 crayons Date_________ 0.012 0.12 1.2 2.1 6. Kim split 68 gummy bears between 5 friends. How many gummy bears did each friend receive? How many gummy bears were left over? A. B. C. D. 12 gummy bears, 8 gummy bears left over 13 gummy bears, 3 gummy bears left over 63 gummy bears, 4 gummy bears left over 73 gummy bears, 0 gummy bears left over 3. What is the value of 6.63 2.9? A. B. C. D. 17.56 19.227 20.53 22.547 7. Which expressions have a value of 19 14 ? Circle all that apply. For numbers 4a – 4c, use the information from the chart above to determine whether each statement is TRUE or FALSE when calculated to the nearest penny. PRODUCE PRICES PER POUND Tomatoes $1.89 per pound Bananas $0.54 per pound Apples $1.78 per pound 4a. 3.2 pounds of tomatoes cost $6.05. TRUE FALSE 4b. 3.6 pounds of bananas cost $1.95. TRUE FALSE 4c. 5.4 pounds of apples cost $9.61. TRUE FALSE ©2013 SMC Curriculum A. 77 4 C. 151 8 E. 298 15 B. 231 12 D. 315 16 F. 385 20 8. Elijah cut a 64-inch long board into 6 equal length boards. How long was each board? A. B. C. D. 10 inches, 1 inch left over 10 13 inches 10 inches, 3 inches left over 10 23 inches Core Focus on Decimals & Fractions pg. 22 9. There were 87 people attending a party. Each table at the party could seat 12 people. How many tables were full? How many people were left at a table that was not full? A. B. C. D. 6 tables, 15 people left 7 tables, 3 people left 8 tables, 1 person left 9 tables, 0 people left A. B. C. D. E. 10. What is the value of 198 13? A. B. C. D. 13. Jessica cut ribbon for masks. She had 1,180 centimeters of ribbon to cut into equal length pieces. How many of the ways given below would use the entire amount of ribbon exactly? Circle all that apply. 10 R12 13 R9 15 R3 16 R6 25 pieces of 47.2 centimeter long ribbon 35 pieces of 33.7 centimeter long ribbon 32 pieces of 36.8 centimeter long ribbon 40 pieces of 29.5 centimeter long ribbon 59 pieces of 20 centimeter long ribbon 14. Warren had 22.1 inches of wire. He cut pieces that were 2.6 inches long. How many pieces did he cut? 11. Leah had 725 ounces of juice to split equally between 45 people. How many ounces of juice did each person receive? A. B. C. D. 7.8 pieces 8.5 pieces 9.9 pieces 11 pieces A. 16 19 ounces 15. Which equations are true? Circle all that apply. B. 16 15 ounces A. 114.3 9 = 12.7 B. 3.293 1.85 = 1.78 C. 24 54 = 0.4 D. 1.56 6 = 9.36 E. 2.4 1.76 = 4.22 C. 16 53 ounces D. 16 95 ounces There was 24.8 pounds of dog food to split between dogs in a kennel. For numbers 12a – 12d, circle YES or NO to indicate whether the answer is correct when rounded to the nearest tenth. 12a. 2 pounds per dog for 12 dogs 12b. 1.7 pounds per dog for 15 dogs 12c. 1.4 pounds per dog for 18 dogs 12d. 1.3 pounds per dog for 20 dogs ©2013 SMC Curriculum YES NO YES NO YES NO YES NO 16. Hannah bought 2,500 pounds of grain for her cows. The grain cost $196. How much did the grain cost per pound to the nearest penny? A. B. C. D. $12.76 per pound $3.19 per pound $0.96 per pound $0.08 per pound Core Focus on Decimals & Fractions pg. 23
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