Decimals give me a rash! © Created by Mike’s Math Mall CCSS : 5.NBT.B.7 for Multiplying and Dividing Decimals Practice Pages Practice A – Multiplying Decimals Practice B – Multiplying Decimal Word Problems Practice C – Multiplying Decimals’ Decoder Puzzle Practice D – Dividing Decimals Practice E – Dividing Decimal Word Problems Practice F – Dividing Decimals’ Decoder Puzzle 3 4 5 6 7 8 Quizzes Quiz A – Multiplying Decimals Quiz B – Dividing Decimals 9 10 Practice Page Answer Keys Practice A Answers Practice B Answers Practice C Answers Practice D Answers Practice E Answers Practice F Answers 11 12 13 14 15 16 Quiz Answer Keys Quiz A – Multiplying Decimals Quiz B – Dividing Decimals 17 18 Notes/Anchor Charts Multiplying Decimals Dividing with Decimal in Dividend Dividing with Decimal in Divisor 19 20 21 PowerPoint Presentation 27-slide, 2-part, Interactive Lesson ©Mike’s Math Mall See PPT File 2 Name______________________________________ Date___________________ Multiplying Decimals Practice A True or False. 1) T or F When multiplying two numbers with decimals, the decimal points must be lined up before you multiply. 2) T or F To place a decimal in the product, you count places from right to left. 3) T or F If 5.78 × 10.91 = 630598, the decimal should be placed between the 0 and 5 (assume the product is correct). Multiply. 4) 0.8 × 8 × 4.4 2.3 × 71.59 0.18 8) 12) 15) 5) 5 × 0.7 9) × 6) 0.59 0.75 11 × 0.4 7) 218 0.6 11) 10) × 13) × 22.84 2.63 14) 2.6 × 0.2 1,000 × 0.33 916.8 × 0.0009 School lunches cost $11.25 per week. How much did it cost Jenna for the school lunch after 16.5 weeks of school? (round answer to the nearest penny) ________________________________________________________________________________________________ ©Mike’s Math Mall 3 Name______________________________________ Date___________________ Multiplying Decimals Practice B Solve the following problems. Round answers to the nearest penny when necessary. 1) Jackson earned $8.75 per hour working after school on a mowing crew. If he worked 21 hours this month, how much did he earn altogether? _____________________________________________________________________________________________________ 2) Kayla’s motor scooter gets 50.35 miles per gallon of gasoline. If her gas tank holds 4.3 gallons of gas, how many miles can she travel after using a full tank? (round to the nearest tenth of a mile) _________________________________________________________________________ 3) It costs the Barker family $95.49 a month to feed their two Great Dane dogs. How much will it cost them for 6.5 months of food? _____________________________________________________________________________________________________ 4) a. Nick and Wes hiked the entire Appalachian Trail in just under five months. The boys averaged 14.37 miles per day for 150.9 total days. How long is the Appalachian Trail? (round to nearest mile) ______________________________________________________________ b. If it costs $1.55, on average, for each mile hiked on the trail, how much does it cost each hiker to hike the entire Appalachian Trail? ______________________________________________________________ 5) There are 2.54 centimeters in one inch. How many centimeters are there in 64.5 inches? _____________________________________________________________________________________________________ ©Mike’s Math Mall 4 Name__________________________________________ Date____________________ Multiplying Decimals Practice C Multiply the following decimals to help you decode the puzzle below. Number 1 has been completed for you. 1) 28 × 0.3 2) 5.4 × 0.7 3) 0.21 × 6.41 4) 13.6 × 0.8 778.2 × 0.6 6) 30.6 × 0.35 7) 41 0.1 8) 0.69 × 12.8 4.05 × 2.9 10) 12) 33.02 × 0.67 8.4 5) 9) 13) × 0.4 × 15 11.4 × 1.8 =___________________ 11) 9.3 × 1.8 14) 0.756 × 24.9 =___________________ Code Bank 4.1 = H 3.78 = G 466.92 = M 8.832 = U 10.88 = V 6=D 10.71 = L 8.4 = R 1.3461 = C 22.1234 = B 16.74 = E 18.8244 = S 11.745 = I 20.52 = A Why does Sparky appear so spastic? __ __ __ __ __ __ __ 12 11 3 13 8 14 11 __ __ __ __ __ __ __ __ 10 11 3 9 5 13 6 14 __ __ __ 7 ©Mike’s Math Mall 9 5 __ 13 __ __ __ __ 2 9 4 11 __ R __ __ __! 1 13 14 7 5 Name______________________________________ Date___________________ Dividing Decimals Practice D True or False. 1) T or F The number underneath the division box is called the divisor. 2) T or F The answer to a division problem is called the quotient. 3) T or F When dividing 0.77 9.43 , step 1 is to move the decimal that is between the 9 and 4 up onto the division box. Divide. 4) 4 2.6 8) 4 45.6 12) 0.2 6.2 5) 6 0.9 9) 5 14.85 13) 0.16 3.32 16) 9.165 ÷ 5 =____________________ ©Mike’s Math Mall 6) 3 3.7 7) 6 5.82 10) 10 379.3 11) 15 40.08 14) 17) 3.2 5.68 15) 0.09 1.99 23.14 ÷ 0.5 =____________________ 6 Name______________________________________ Date___________________ Dividing Decimals Practice E Solve the following problems. Round answers to the nearest penny when necessary. 1) Last week, Allison earned $86.64 at her part time job painting fire hydrants. If she worked a total of 12 hours last week, how much does she earn per hour? _____________________________________________________________________________________________________ 2) The Wilson’s RV can travel a total of 522.8 miles on one tank of gas. If the RV has a 40 gallon tank, how many miles does the camper get for every one gallon of gas? _________________________________________________________________________ 3) The 6-member Hope family spent the evening at Chicago’s Wrigley Field to enjoy a night of food, fun, and baseball. The total cost for the evening was $447.74. On average, how much did it cost each member of the family to attend the game? _____________________________________________________________________________________________________ 4) a. A giant 10 pound lobster was caught off the coast of Maine. The lobster sold at market for a total of $92.95. What did the lobster cost per pound? ______________________________________________________________________________ b. A lobsterman brought in 9 pounds of lobster from one of his traps. If he earned a total of $48.87 for that catch, how much did he earn for each pound of lobster caught? ______________________________________________________________ 5) A member of the school cross country team ran a total of 76.5 miles in 12.5 days. How many miles did the runner average per day? _____________________________________________________________________________________________________ ©Mike’s Math Mall 7 Name__________________________________________ Date____________________ Dividing Decimals Practice F Divide the following decimals to help you decode the puzzle below. Number 1 has been completed for you. 0.55 2) 5 0.6 1) 8 4.4 5) 3 96.3 6) 14 28.42 9) 0.4 34.7 10) 1.2 1.7 3) 9 1.3 7) 4) 6 0.852 8) 6 5.586 11) 0.06 36.2 13) 3.42 ÷ 4 =____________________ 2 111.7 12) 0.22 6.64 14) 94.92 ÷ 0.7 =___________________ Code Bank 0.142 = D 0.12 = I 32.1 = N 55.85 = F 603.3 = H 0.55 = L 0.855 = R 135.6 = U 30.18 = C 1.416 = T 0.931 = A 2.03 = S 86.75 = O 0.14 = E What is Sparky trying to remember? __ __ __ 10 11 3 __ __ 9 8 __ __ __ L __ __ 12 9 1 9 13 __ __ __ 11 2 6 __ __ __ __ __ __ __ __ __ __ __ __ __ 14 5 ©Mike’s Math Mall 4 3 13 12 14 13 10 7 2 5 6 8 Name______________________________________ Date____________________ Multiplying Decimals Quiz A True or False. 1) T or F When multiplying decimals, the first step is to move decimals to the right until you create whole numbers. 2) T or F To place a decimal in the product, you count places from left to right. 3) T or F If 4.38 × 7.97 = 349086, the decimal should be placed between the 4 and 9 (assume the product is correct). Multiply. 4) 0.6 × 6 8) × 12) 14) 8.1 3.2 3.56 × 5.2 5) 4 × 0.5 9) × 0.45 9.1 6) 10) 13) 12 × 0.7 7) 623 × 0.72 11) 9.3 × 0.2 × 2.88 0.54 10.918 × 47 Allen needs a new, heavy-duty chain for his tree removal service. If one foot of chain cost $4.99, how much will a 20.5 feet of chain cost him? (round answer to the nearest penny) ________________________________________________________________________________________________ ©Mike’s Math Mall 9 Name______________________________________ Date___________________ Dividing Decimals Quiz B True or False. 1) T or F The number underneath the division box is called the dividend. 2) T or F The answer to a division problem is called the product. 3) T or F When dividing 0.84 3.95 , step 1 is to move the decimal that’s in front of the 8 two places to the right. 4) 2 7.8 5) 4 0.34 6) 11 1.826 7) 8 54.64 8) 0.3 11 9) 0.04 0.84 10) 0.7 283.71 12) 11) 0.22 8.184 The soccer team bought new uniforms for $649.62. If there are 12 kids on the team, how much did each uniform cost? (round answer to the nearest penny) ________________________________________________________________________________________________ ©Mike’s Math Mall 10 Name______________________________________ Date___________________ Practice A Answers Multiplying Decimals True or False. 1) T or F When multiplying two numbers with decimals, the decimal points must be lined up before you multiply. 2) T or F To place a decimal in the product, you count places from right to left. 3) T or F If 5.78 × 10.91 = 630598, the decimal should be placed between the 0 and 5 (assume the product is correct). Multiply. 4) 8) 12) 15) 0.8 × 8 6.4 4.4 × 2.3 10.12 71.59 × 0.18 12.8862 5) 9) 5 × 0.7 3.5 0.59 × 0.75 0.4425 13) 6) 10) 22.84 × 2.63 60.0692 11 × 0.4 4.4 7) 218 × 0.6 130.8 11) 14) 2.6 × 0.2 0.52 1,000 × 0.33 330 916.8 × 0.0009 0.82512 School lunches cost $11.25 per week. How much did it cost Jenna for the school lunch after 16.5 weeks of school? (round answer to the nearest penny) It will cost Jenna $185.63. ________________________________________________________________________________________________ ©Mike’s Math Mall 11 Name______________________________________ Date___________________ Multiplying Decimals Practice B Answers Solve the following problems. Round answers to the nearest penny when necessary. 1) Jackson earned $8.75 per hour working after school on a mowing crew. If he worked 21 hours this month, how much did he earn altogether? Jackson will earn $183.75. _____________________________________________________________________________________________________ 2) Kayla’s motor scooter gets 50.35 miles per gallon of gasoline. If her gas tank holds 4.3 gallons of gas, how many miles can she travel after using a full tank? (round to the nearest tenth of a mile) Kayla can travel 216.5 total miles. _________________________________________________________________________ 3) It costs the Barker family $95.49 a month to feed their two Great Dane dogs. How much will it cost them for 6.5 months of food? It will cost the Barkers $620.69 to feed the dogs. _____________________________________________________________________________________________________ 4) a. Nick and Wes hiked the entire Appalachian Trail in just under five months. The boys averaged 14.37 miles per day for 150.9 total days. How long is the Appalachian Trail? (round to nearest mile) The Appalachian Trail is 2,168 miles long. ______________________________________________________________ b. If it costs $1.55, on average, for each mile hiked on the trail, how much does it cost each hiker to hike the entire Appalachian Trail? It costs about $3,360.40 to hike the entire trail. ______________________________________________________________ 5) There are 2.54 centimeters in one inch. How many centimeters are there in 64.5 inches? There are 163.83 cm in 64.5 in. _____________________________________________________________________________________________________ ©Mike’s Math Mall 12 Name__________________________________________ Date____________________ Multiplying Decimals Practice C Answers Multiply the following decimals to help you decode the puzzle below. Number 1 has been completed for you. 1) 28 × 0.3 2) 778.2 × 0.6 6) 8.4 5) 4.05 × 2.9 11.745 13) 3) 30.6 × 0.35 7) 3.78 466.92 9) 5.4 × 0.7 4) 41 0.1 8) 1.3461 × 10.71 10) 0.21 × 6.41 0.4 × 15 10.88 4.1 6 12) 16.74 20.52 11.4 × 1.8 =___________________ 0.69 × 12.8 8.832 9.3 × 1.8 11) 13.6 × 0.8 33.02 × 0.67 22.1234 18.8244 0.756 × 24.9 =___________________ 14) Code Bank 4.1 = H 3.78 = G 466.92 = M 8.832 = U 10.88 = V 6=D 10.71 = L 8.4 = R 1.3461 = C 22.1234 = B 16.74 = E 18.8244 = S 11.745 = I 20.52 = A Why does Sparky appear so spastic? __ B __ E __ C __ A __ U __ S __ E 12 11 3 13 8 14 11 __ D __ E __ C __ I __ M __ A __ L __ S 10 11 3 9 5 13 6 14 __ H __ I __ M 7 ©Mike’s Math Mall 9 5 __ A 13 __ G __ I __ V __ E 2 9 4 11 __ R __ A __ S __! H 1 13 14 7 13 Name______________________________________ Date___________________ Practice D Answers Dividing Decimals True or False. 1) T or F The number underneath the division box is called the divisor. 2) T or F The answer to a division problem is called the quotient. 3) T or F When dividing 0.77 9.43 , step 1 is to move the decimal that is between the 9 and 4 up onto the division box. Divide. 0.65 4) 4 2.6 11.4 8) 4 45.6 31 12) 0.2 6.2 0.15 5) 6 0.9 1.23 6) 3 3.7 2.97 5 14.85 10) 10 379.3 9) 20.75 13) 0.16 3.32 16) 9.165 ÷ 5 =____________________ 1.833 ©Mike’s Math Mall 37.93 1.775 14) 3.2 5.68 17) 0.97 7) 6 5.82 2.672 11) 15 40.08 22.1 15) 0.09 1.99 46.28 23.14 ÷ 0.5 =____________________ 14 Name______________________________________ Date___________________ Dividing Decimals Practice E Answers Solve the following problems. Round answers to the nearest penny when necessary. 1) Last week, Allison earned $86.64 at her part time job painting fire hydrants. If she worked a total of 12 hours last week, how much does she earn per hour? Allison earns $7.22 an hour. _____________________________________________________________________________________________________ 2) The Wilson’s RV can travel a total of 522.8 miles on one tank of gas. If the RV has a 40 gallon tank, how many miles does the camper get for every one gallon of gas? The RV only gets 13.07 miles per gallon. _________________________________________________________________________ 3) The 6-member Hope family spent the evening at Chicago’s Wrigley Field to enjoy a night of food, fun, and baseball. The total cost for the evening was $447.74. On average, how much did it cost each member of the family to attend the game? On average, it cost each member of the family $74.62 to attend the game. _____________________________________________________________________________________________________ 4) a. A giant 10 pound lobster was caught off the coast of Maine. The lobster sold at market for a total of $92.95. What did the lobster cost per pound? The lobster cost $9.30 per pound. ______________________________________________________________________________ b. A lobsterman brought in 9 pounds of lobster from one of his traps. If he earned a total of $48.87 for that catch, how much did he earn for each pound of lobster caught? The lobsterman earned $5.43 per pound. ______________________________________________________________ 5) A member of the school cross country team ran a total of 76.5 miles in 12.5 days. How many miles did the runner average per day? The runner averaged 6.12 miles per day. _____________________________________________________________________________________________________ ©Mike’s Math Mall 15 Name__________________________________________ Date____________________ Dividing Decimals Practice F Answers Divide the following decimals to help you decode the puzzle below. Number 1 has been completed for you. 0.55 0.12 2) 5 0.6 1) 8 4.4 32.1 0.14 3) 9 1.3 2.03 6) 14 28.42 5) 3 96.3 86.75 9) 0.4 34.7 0.931 6 5.586 7) 1.416 10) 1.2 1.7 4) 8) 55.85 2 111.7 30.18 12) 0.22 6.64 603.3 11) 0.06 36.2 13) 3.42 ÷ 4 =____________________ 0.855 0.142 6 0.852 14) 94.92 ÷ 0.7 =___________________ 135.6 Code Bank 0.142 = D 0.12 = I 32.1 = N 55.85 = F 603.3 = H 0.55 = L 0.855 = R 135.6 = U 30.18 = C 1.416 = T 0.931 = A 2.03 = S 86.75 = O 0.14 = E What is Sparky trying to remember? __ T __ H __ E 10 11 3 __ O __ F 9 8 __ C __ O __ L __ O __ R 12 9 1 9 13 __ H __ I __ S 11 2 6 __ U __ N __ D __ E __ R __ C __ U __ R __ T __ A __ I __ N __ S 14 5 ©Mike’s Math Mall 4 3 13 12 14 13 10 7 2 5 6 16 Name______________________________________ Date____________________ Multiplying Decimals Quiz A Answers True or False. 1) T or F When multiplying decimals, the first step is to move decimals to the right until you create whole numbers. 2) T or F To place a decimal in the product, you count places from left to right. 3) T or F If 4.38 × 7.97 = 349086, the decimal should be placed between the 4 and 9 (assume the product is correct). Multiply. 4) 0.6 × 6 3.6 8) 12) 14) 8.1 × 3.2 25.92 3.56 × 5.2 18.512 5) 9) 4 × 0.5 2 0.45 × 9.1 4.095 6) 10) 13) 12 × 0.7 8.4 7) 623 × 0.72 448.56 11) 9.3 × 0.2 1.86 2.88 × 0.54 1.5552 10.918 × 47 513.146 Allen needs a new, heavy-duty chain for his tree removal service. If one foot of chain cost $4.99, how much will a 20.5 feet of chain cost him? (round answer to the nearest penny) The chain will cost Allen $102.30 ________________________________________________________________________________________________ ©Mike’s Math Mall 17 Name______________________________________ Date___________________ Quiz B Answers Dividing Decimals True or False. 1) T or F The number underneath the division box is called the dividend. 2) T or F The answer to a division problem is called the product. 3) T or F When dividing 0.84 3.95 , step 1 is to move the decimal that is in front of the 8 two places to the right. 5) 6.83 7) 8 54.64 8) 0.3 11 36.6 405.3 10) 0.7 283.71 12) 1.66 6) 11 1.826 0.085 4 0.34 3.9 4) 2 7.8 21 9) 0.04 0.84 37.2 11) 0.22 8.184 The soccer team bought new uniforms for $649.62. If there are 12 kids on the team, how much did each uniform cost? (round answer to the nearest penny) Each uniform cost $54.14 ________________________________________________________________________________________________ ©Mike’s Math Mall 18 42.9 × 0.37 3003 + 12870 15.873 To multiply decimals: Step 1: Ignore all decimals. Step 2: Multiply normally. Step 3: Count all decimal places in the factors from right to left (add together). Step 4: In the product, place a decimal point an equal number of places counted (from right to left) ©Mike’s Math Mall 19 Vocabulary: Quotient Divisor Dividend Division Box When a division problem has a decimal in the dividend, follow these steps: 20. 8 7 4 83.48 -8 34 -3 2 28 -2 8 0 ©Mike’s Math Mall Step 1: Locate the decimal in the dividend. Step 2: Move the decimal straight up onto the division box. Step 3: Ignore the decimals. Step 4: Divide normally. 20 Vocabulary: Quotient Divisor Dividend Division Box When a division problem has decimals in the divisor and dividend, follow these steps: Step 1: Locate the decimal in the divisor. Step 2: Move that decimal to the right until you create a whole number. 4 1. 3 5 0.22 9.0 9 7 Step 3: Move the dividend decimal the same number of places to the right. Step 4: Move the decimal straight up onto the division box. Step 5: Divide normally. ©Mike’s Math Mall 21
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