pmi 5th grade, unit 2 decimal computation decimal...

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NJ Center for Teaching and Learning ~ 1 ~ www.njctl.org PMI 5 th Grade, Unit 2 Decimal Computation Decimal Operations Addition Classwork Solve the following problems: 1) 65.24 + 72.11 = 2) 8.29 + 0.31 = 3) 159.34 + 2.64 = 4) 34.12 + 0.9 = 5) 0.234 + 0.541 = 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.

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Page 1: PMI 5th Grade, Unit 2 Decimal Computation Decimal ...content.njctl.org/courses/math/5th-grade-math/decimal-computation/... · NJ Center for Teaching and Learning ~ 1 ~ PMI 5th Grade,

NJ Center for Teaching and Learning ~ 1 ~ www.njctl.org

PMI 5th Grade, Unit 2 Decimal Computation

Decimal Operations Addition

Classwork Solve the following problems:

1) 65.24 + 72.11 =

2) 8.29 + 0.31 =

3) 159.34 + 2.64 =

4) 34.12 + 0.9 =

5) 0.234 + 0.541 =

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.

Page 2: PMI 5th Grade, Unit 2 Decimal Computation Decimal ...content.njctl.org/courses/math/5th-grade-math/decimal-computation/... · NJ Center for Teaching and Learning ~ 1 ~ PMI 5th Grade,

NJ Center for Teaching and Learning ~ 2 ~ www.njctl.org

Homework

Solve the following problems:

9) 6.18 + 67.14 =

10) 10.87 + 5.67 =

11) 98.007 + 6.04 =

12) 87.14 + 8.9 =

13) 64.047 + 0.71 =

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.

Page 3: PMI 5th Grade, Unit 2 Decimal Computation Decimal ...content.njctl.org/courses/math/5th-grade-math/decimal-computation/... · NJ Center for Teaching and Learning ~ 1 ~ PMI 5th Grade,

NJ Center for Teaching and Learning ~ 3 ~ www.njctl.org

Decimal Operations Subtraction

Classwork

Solve the following problems:

17) 68.72 – 2.41 =

18) 54.07 – 4.01 =

19) 846.48 – 32.74 =

20) 6 – 0.42 =

21) 5.4 – 3.27 =

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.

Page 4: PMI 5th Grade, Unit 2 Decimal Computation Decimal ...content.njctl.org/courses/math/5th-grade-math/decimal-computation/... · NJ Center for Teaching and Learning ~ 1 ~ PMI 5th Grade,

NJ Center for Teaching and Learning ~ 4 ~ www.njctl.org

Homework

Solve the following problems:

25) 61.8 – 40.4 =

26) 14.09 – 4.07 =

27) 6.87 – 0.49 =

28) 467.408 – 467.386 =

29) 15 – 0.8 =

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.

Page 5: PMI 5th Grade, Unit 2 Decimal Computation Decimal ...content.njctl.org/courses/math/5th-grade-math/decimal-computation/... · NJ Center for Teaching and Learning ~ 1 ~ PMI 5th Grade,

NJ Center for Teaching and Learning ~ 5 ~ www.njctl.org

Multiplication Review

Classwork

Solve the following problems:

33) 53 x 4 =

34) 682 x 7 =

35) 926 x 5 =

36) 4,302 x 6 =

37) 5,002 x 4 =

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 =

Page 6: PMI 5th Grade, Unit 2 Decimal Computation Decimal ...content.njctl.org/courses/math/5th-grade-math/decimal-computation/... · NJ Center for Teaching and Learning ~ 1 ~ PMI 5th Grade,

NJ Center for Teaching and Learning ~ 6 ~ www.njctl.org

Classwork

Solve the following problems:

41) 67 x 8 =

42) 742 x 5 =

43) 803 x 6 =

44) 5,302 x 3=

45) 7,811 x 7 =

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.

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NJ Center for Teaching and Learning ~ 7 ~ www.njctl.org

Decimal Operations Multiplication

Classwork

Solve the following problems:

49) 54.24 x 2 =

50) 1.47 x 3 =

51) 67.4 x 0.04 =

52) 195.2 x 0.03 =

53) 67.41 x 4 =

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.

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NJ Center for Teaching and Learning ~ 8 ~ www.njctl.org

Homework

Solve the following problems:

57) 87.41 x 3 =

58) 19.4 x 0.7 =

59) 6.74 x 0.04 =

60) 3.478 x 4 =

61) 974.3 x 0.004 =

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.

Page 9: PMI 5th Grade, Unit 2 Decimal Computation Decimal ...content.njctl.org/courses/math/5th-grade-math/decimal-computation/... · NJ Center for Teaching and Learning ~ 1 ~ PMI 5th Grade,

NJ Center for Teaching and Learning ~ 9 ~ 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?

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NJ Center for Teaching and Learning ~ 10 ~ 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?

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NJ Center for Teaching and Learning ~ 11 ~ 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

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NJ Center for Teaching and Learning ~ 12 ~ 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

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NJ Center for Teaching and Learning ~ 13 ~ 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

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NJ Center for Teaching and Learning ~ 14 ~ 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 __________________________________

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NJ Center for Teaching and Learning ~ 15 ~ 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.

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NJ Center for Teaching and Learning ~ 16 ~ 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?

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NJ Center for Teaching and Learning ~ 17 ~ www.njctl.org

CW-HW Answer Key

1) 137.35 2) 8.6 3) 161.98 4) 35.02 5) 0.775 6) 6.656 7) 17.241 8) 8 9) 73.32

10) 16.54 11) 104.047 12) 96.04 13) 64.757 14) 3.77 15) 126.035 16) 94 17) 66.31 18) 50.06 19) 813.74 20) 5.58 21) 2.13 22) 9.97 23) 0.763 24) 7 25) 21.4 26) 10.02 27) 6.38 28) .022 29) 14.2 30) 8.13 31) 60.53 32) 2 33) 212 34) 4774 35) 4630 36) 25,812 37) 20,008 38) 1,679

39) 1,820 40) 2,700 41) 536 42) 3,710 43) 4,818 44) 15,906 45) 54,677 46) 2,790 47) 2,997 48) 2,800 49) 108.48 50) 4.41 51) 2.696 52) 5.856 53) 269.64 54) 125.58 55) 258.6 56) 8 57) 262.23 58) 13.58 59) .2696 60) 13.912 61) 3.8972 62) 276.34 63) 17.84 64) 2,700 65) $28.13 66) 5.75 feet 67) 8.88 sec 68) 9 hours 69) $562.50 70) 1.59 71) 33.65 72) $244.38 73) 13.75 lbs 74) 19.6 feet

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