PMI 5th Grade, Unit 2 Decimal Computation Decimal Operations Addition Classwork Solve the following problems: 1) 65.24 + 72.11 = 4) 34.12 + 0.9 = 2) 8.29 + 0.31 = 5) 0.234 + 0.541 = 3) 159.34 + 2.64 = 6) 6.2 + 0.456 = 7) Use a place value chart to solve. Then, write your answer in standard form. 15 and 2 tenths 9 thousandths + 2 and 3 hundredths 2 thousandths = 8) Estimate the sum of 4.9 + 3.012. NJ Center for Teaching and Learning ~1~ www.njctl.org Homework Solve the following problems: 9) 6.18 + 67.14 = 12) 87.14 + 8.9 = 10) 10.87 + 5.67 = 13) 64.047 + 0.71 = 11) 98.007 + 6.04 = 14) 0.67 + 3.1 = 15) Use a place value chart to solve. Then, write your answer in standard form. 1 hundred 4 tens and 9 tenths 8 hundredths 7 thousandths + 21 and 4 hundredths 8 thousandths = 16) Estimate the sum of 87.071 + 6.8. NJ Center for Teaching and Learning ~2~ www.njctl.org Decimal Operations Subtraction Classwork Solve the following problems: 17) 68.72 – 2.41 = 20) 6 – 0.42 = 18) 54.07 – 4.01 = 21) 5.4 – 3.27 = 19) 846.48 – 32.74 = 22) 15.87 – 5.9 = 23) Use a place value chart to solve. Then, write your answer in standard form. 8 tenths 6 thousandths – 4 hundredths 3 thousandths = 24) Estimate the difference of 6.8 – 0.043. NJ Center for Teaching and Learning ~3~ www.njctl.org Homework Solve the following problems: 25) 61.8 – 40.4 = 28) 467.408 – 467.386 = 26) 14.09 – 4.07 = 29) 15 – 0.8 = 27) 6.87 – 0.49 = 30) 9 – 0.87 = 31) Use a place value chart to solve. Then, write your answer in standard form. 64 and 8 tenths – 4 and 27 hundredths = 32) Estimate the difference of 64.708 – 62.688. NJ Center for Teaching and Learning ~4~ www.njctl.org Multiplication Review Classwork Solve the following problems: 33) 53 x 4 = 36) 4,302 x 6 = 34) 682 x 7 = 37) 5,002 x 4 = 35) 926 x 5 = 38) 73 x 23 = 39) Use an area model to show the product of 65 x 28. Write your answer in standard form. 40) Estimate the product of 88 and 30 = NJ Center for Teaching and Learning ~5~ www.njctl.org Classwork Solve the following problems: 41) 67 x 8 = 44) 5,302 x 3= 42) 742 x 5 = 45) 7,811 x 7 = 43) 803 x 6 = 46) 45 x 62 = 47) Use an area model to show the product of 81 x 37. Write your answer in standard form. 48) Estimate the product of 72 and 40. NJ Center for Teaching and Learning ~6~ www.njctl.org Decimal Operations Multiplication Classwork Solve the following problems: 49) 54.24 x 2 = 52) 195.2 x 0.03 = 50) 1.47 x 3 = 53) 67.41 x 4 = 51) 67.4 x 0.04 = 54) 54.6 x 2.3 = 55) Use an area model to show the product of 43.1 x 6. Write your answer in standard form. 56) Estimate the product of 2.234 x 3.8. NJ Center for Teaching and Learning ~7~ www.njctl.org Homework Solve the following problems: 57) 87.41 x 3 = 60) 3.478 x 4 = 58) 19.4 x 0.7 = 61) 974.3 x 0.004 = 59) 6.74 x 0.04 = 62) 0.74 x 41 = 63) Use an area model to show the product of 8 x 2.23. Write your answer in standard form. 64) Estimate the product of 931 x 2.64. NJ Center for Teaching and Learning ~8~ www.njctl.org Real Life Applications Classwork 65) You purchased $21.87 in groceries at a store. How much change will you get if you pay with a $50 bill? 66) If an eight foot piece of wood has a length of 2.25 feet cut from it, what is the length of the piece of wood that is left? 67) At a track meet, the times for four runners in a 100 yard dash are 9.72 sec,10.08 sec, 8.88 sec and 9.5 sec. What is the winning time? Explain your answer. 68) The college student studied for 2.25 hours a day for 4 days. How many hours did she study during that time? 69) Carpet is on sale for $11.25 a square yard. If you buy 50 square yards, how much will it cost? NJ Center for Teaching and Learning ~9~ www.njctl.org Homework 70) At a gymnastics competition, Sally scored 8.064 points and Suzy scored 9.654 points. How much higher is Suzy’s score than Sally’s? 71) A diver’s scores at a diving competition were 9.25, 6.85, 8.5 and 9.05. What was his total score? 72) Frank saved $175.30 in July and $194.75 in August. Then, he bought a bike for $125.67. How much money did he have left? 73) Two babies were 6.3 lbs and 7.45 lbs. when they were born. What is their combined weight? 74) A maple tree is 12.4 feet tall. A dogwood tree is 7.2 feet shorter than the maple tree. What are their combined heights? NJ Center for Teaching and Learning ~ 10 ~ www.njctl.org Decimal Computation Unit Review Multiple Choice Questions 75) 0.35 + 1.72 = a. 2.07 b. 1.37 c. 0.602 d. 20.7 76) 67.9 + .068 = a. 67.968 b. 6.7968 c. 679.68 d. 6,796.8 77) 32.1 + 457.1 = a. 425 b. 89.2 c. 479.2 d. 489.2 78) .07 + .007 = a. 0.77 b. .077 c. 7.7 d. 0.777 79) 55.5 + 1.355 = a. 54.145 b. 55 c. 56.855 d. 56.955 80) 367.1 - 23.43 = a. 353.67 b. 343.77 c. 343.67 d. 353.77 NJ Center for Teaching and Learning ~ 11 ~ www.njctl.org 81) 100 - 42.67 = a. 58 b. 57.33 c. 57 d. 5.733 82) 19.4 - 0.194= a. 19 b. 192.06 c. 19.3 d. 19.206 83) 55.5 - 1.355 = a. 54.145 b. 55 c. 54 d. 54.111 84) 69.4 - .03 = a. 69.1 b. 69.37 c. 69.7 d. .03 85) 9.67 x 4 = a. 38.68 b. 3.868 c. 386.8 d. 0.3868 86) 32.89 x 9 = a. 29,601 b. 29.601 c. 296.01 d. 2,960.1 87) 172.172 x 0.89 = a. 153 b. 153.23308 c. 15,323,308 d. 153.22333 NJ Center for Teaching and Learning ~ 12 ~ www.njctl.org 88) 5.3 x 5.3 = a. 280.9 b. 2,809 c. 28.19 d. 28.09 89) .04 x .051 = a. 204 b. .0204 c. .0024 d. .00204 90) 0.9825 ÷ 0.3 = a. 3,275 b. 3.275 c. 3 d. 3.384 91) Michelle pays $20.55 for her dinner and offers to pay John’s dinner bill as well. If John’s dinner cost $15.78, how much did Michelle spend at dinner time? a. $40.00 b. $4.77 c. $3.33 d. $36.33 92) Lou weighed 225 pounds in October. He lost 50 pounds in November, 23.6 pounds in December, and 5.8 pounds in January. How much does Lou now weigh? a. 151.4 pounds b. 195.6 pounds c. 169.2 pounds d. 145.6 pounds 93) It snowed 1.5 inches Monday and 0.79 inches on Tuesday. How much did it snow after both days? a. 229 inches b. 0.71 inches c. 2.29 inches d. 22.9 inches NJ Center for Teaching and Learning ~ 13 ~ www.njctl.org 94) Juan has $1,000 in the bank. He buys a computer for $500 and a book for $15. How much money is in his bank account after his shopping trip? a. $450 b. $485 c. $584 d. $48.5 95) The store sells oranges for $2.18. If Neil buys 5 oranges, how much money will he spend? a. $10.90 b. $109 c. $19 d. $10.09 Short Constructed Response Questions 96) Estimate the product for 56 x 33 _________________________________ 97) Estimate the product for 45.4 x 6.3 ________________________________ 98) Estimate the product for 99 x 19.8 _________________________________ 99) Estimate the product for 10.1 x 6.9 ________________________________ 100) Find the sum of 6.9 + 3.9 + 0.124 __________________________________ 101) Find the sum of 9.764 + 1.334 ____________________________________ 102) Find the sum of 8 + 1.3 + 9.0 + 1.742________________________________ 103) Find the difference of 90.95 - 4.76 __________________________________ 104) Find the difference of 54.22 - 50.22 _________________________________ 105) Find the difference of 0.45 - .001 __________________________________ NJ Center for Teaching and Learning ~ 14 ~ www.njctl.org Extended Constructed Response Questions 106) a. Write down a number that has a tens, ones, tenths, hundredths and thousandths place. b. Add 0.765 to it. c. Subtract .003 from that answer. d. Multiply that number by 4. e. Write out your final number in words. NJ Center for Teaching and Learning ~ 15 ~ www.njctl.org 107) Three friends are having ice cream together: Rosanna, Jose and Thomas. Use the ice cream menu shown below to answer the questions. Sweet Shop Menu Ice Cream Flavors Cost Vanilla $1.99 Chocolate $1.50 Strawberry $1.25 Rocky Road $2.50 Toppings Cost Sprinkles $0.25 Walnuts $0.75 Whipped Cream $0.50 When they put all their cash together, the three friends have a total of $40.00. They decide that each person will order a cone with one ice cream flavor and one topping. They agree that each order will costs at least $1.00, but no more than $3.00. a. Determine three different cones that the friends could order. b. After totaling all three amounts, what will their change be? c. Could they afford to buy their friend Danielle an ice cream cone with a topping with their change? NJ Center for Teaching and Learning ~ 16 ~ www.njctl.org CW-HW Answer Key 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) 28) 29) 30) 31) 32) 33) 34) 35) 36) 37) 38) 137.35 8.6 161.98 35.02 0.775 6.656 17.241 8 73.32 16.54 104.047 96.04 64.757 3.77 126.035 94 66.31 50.06 813.74 5.58 2.13 9.97 0.763 7 21.4 10.02 6.38 .022 14.2 8.13 60.53 2 212 4774 4630 25,812 20,008 1,679 NJ Center for Teaching and Learning 39) 40) 41) 42) 43) 44) 45) 46) 47) 48) 49) 50) 51) 52) 53) 54) 55) 56) 57) 58) 59) 60) 61) 62) 63) 64) 65) 66) 67) 68) 69) 70) 71) 72) 73) 74) 1,820 2,700 536 3,710 4,818 15,906 54,677 2,790 2,997 2,800 108.48 4.41 2.696 5.856 269.64 125.58 258.6 8 262.23 13.58 .2696 13.912 3.8972 276.34 17.84 2,700 $28.13 5.75 feet 8.88 sec 9 hours $562.50 1.59 33.65 $244.38 13.75 lbs 19.6 feet ~ 17 ~ Unit Review Answer Key 75) a 76) a 77) d 78) b 79) c 80) c 81) b 82) d 83) a 84) b 85) a 86) c 87) b 88) d 89) b 90) b 91) d 92) d 93) c 94) b 95) d 96) 1,800 97) 270 98) 2,000 99) 70 100) 10.924 101) 11.098 102) 20.042 103) 86.19 104) 4 105) 0.449 106) answers will vary 107) answers will vary www.njctl.org
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