ID : au-4-conversion-of-units [] Grade 4 Conversion of Units For more such worksheets visit www.edugain.com Answer t he quest ions () Convert the f ollowing: 3hl 22dal 58dl = l (2) In an orchard, 23. kg of pears are picked by the evening. Over the next hour, 9 workers add kg 600 g of pears each, while 6 workers remove.5 kg of bad f ruits each. What is the total weight of pears remaining? (3) Solve the f ollowing: A) Convert 70 dm 90 km 33 hm to cm Convert 62 hm 40 cm 53 mm to m C) Convert 72 mg 7 cg 79 dag to hg Convert 75 cl 84 l 44 dal to dl (4) Each bag of pears weighs 5 kgs 250 grams. If the total weight of a sack containing pears bags is 62.75 kgs, then how many bags are in the sack? (5) A large container in a depot contains 97 litres, 546 millilitre of diesel. Each of 4 workers added L 2 ml of diesel to the container. What is the amount of diesel in the container now? (6) Carol has a 72 meter long piece of wood. She needs to cut out pieces of length 40 cm f rom it. How many pieces can she cut? Choose correct answer(s) f rom given choice (7) A group of 5 workers are painting the f ence of a f actory. If 60.2 m of the f ence is already painted, and each worker can paint 4 m 300 mm of the f ence every hour, what is the total length of the f ence that would have been painted af ter an hour? a. 83. m b. 85.4 m c. 78.9 m d. 8.7 m Fill in the blanks (8) Convert the units: A) 8 decameter = meter kilometer = 200 hectameter C) decimeter = 0.0 decameter 5 centigram = hectagram (9) Solve the f ollowing:
A) 62297 centimeter to ID : au-4-conversion-of-units [2] 533227 decimeter to hectometer meter C) 742384 decilitre to kilolitre 76008 millilitre to decalitre (0) A cuboid container is m long, 2 m wide and 5 m high. The tank can hold litres. () Kevin takes a bus and travels 28 km 260 m. He then travels 6.2 km by taxi, and walks 3 km 0 m. The total distance he travels is km m. (2) Convert the units: A) 7 hectameter = meter 9 kilolitre = litre C) 4 decameter = meter 5 decalitre = litre (3) A small dam contains 49 kl 62 l 762 ml of water. One day, the dam authorities let out 50 kl 2 l 502 ml of water. The amount of water remaining in the dam is l ml. (4) An elevator in a mall can carry 3 adults or 39 children at one time. If there are 7 adults in the lif t, then additional children can be accomodated in the lif t. (5) The total length of three sticks is 2.05 m. If the length of the two sticks are 7 m 70 cm, and 6 m 24 cm, The length of the third stick is m cm. 206 Edugain (www.edugain.com). All Rights Reserved Many more such worksheets can be generated at www.edugain.com
Answers ID : au-4-conversion-of-units [3] () 525.8 (2) 68.5 kg The weight of pears picked by the evening = 23. kg The pears added in the next hour = kg 600 g by each of the 9 workers = + 600/000 kg by each of the 9 workers =.600 kg by each of the 9 workers =.6 9 kg = 4.4 kg The pears removed =.5 kg by each of the 6 workers =.5 6 kg = 69 kg Total weight of pears = 23. + 4.4-69 = 68.5 kg Step 5 Theref ore, the f inal weight of the pears is 68.5 kg. (3) A) 9330700 We know that, Decimeter(dm) = 0. meter(m) Kilometer(km) = 000 meter(m) Hectometer(hm) = 00 meter(m) 70 dm = 70 0. m = 7 meter(m) 90 km = 90 000 m = 90000 meter(m) 33 hm = 33 00 m = 3300 meter(m) Theref ore, 70 dm 90 km 33 hm = 7 m + 90000 m + 3300 m = 93307 m Since, meter = 00 Centimeter(cm) Theref ore, 93307 m = 93307 00 cm = 9330700 cm Thus, 70 dm 90 km 33 hm is equal to 9330700 cm.
6200.453 ID : au-4-conversion-of-units [4] We know that, Hectometer(hm) = 00 meter(m) Centimeter(cm) = 0.0 meter(m) Millimeter(mm) = 0.00 meter(m) 62 hm = 62 00 m = 6200 meter(m) 40 cm = 40 0.0 m = 0.4 meter(m) 53 mm = 53 0.00 m = 0.053 meter(m) Theref ore, 62 hm 40 cm 53 mm = 6200 m + 0.4 m + 0.053 m = 6200.453 m Thus, 62 hm 40 cm 53 mm is equal to 6200.453 m. C) 7.90782 We know that, Milligram(mg) = 0.00 gram(g) Centigram(cg) = 0.0 gram(g) Dakagram(dag) = 0 gram(g) 72 mg = 72 0.00 g = 0.072 gram(g) 7 cg = 7 0.0 g = 0.7 gram(g) 79 dag = 79 0 g = 790 gram(g) Theref ore, 72 mg 7 cg 79 dag = 0.072 g + 0.7 g + 790 g = 790.782 g Since, gram = 0.0 Hectogram(hg) Theref ore, 790.782 g = 790.782 0.0 hg = 7.90782 hg Thus, 72 mg 7 cg 79 dag is equal to 7.90782 hg.
5247.5 ID : au-4-conversion-of-units [5] We know that, Centiliter(cl) = 0.0 liter(l) Dakaliter(dal) = 0 liter(l) 75 cl = 75 0.0 l = 0.75 liter(l) 44 dal = 44 0 l = 440 liter(l) Theref ore, 75 cl 84 l 44 dal = 0.75 l + 84 l + 440 l = 524.75 l Since, liter = 0 Deciliter(dl) Theref ore, 524.75 l = 524.75 0 dl = 5247.5 dl Thus, 75 cl 84 l 44 dal is equal to 5247.5 dl. (4) 3 Since we know that kg = 000 grams, 250 grams = 250/000 = 0.250 kgs, 5 kgs 250 grams = 5.250 kgs. According to the question, the weight of each bag of pears = 5 kgs 250 grams. or we can say that, 5.250 kgs weighs of the pears contained by the bag = bag. or kg weighs of the pears contained by the bags = bags. 5.250 Theref ore, 62.75 kgs weight of the pears contained by the number of bags = 62.75 = 62.75 5.250 = 62750 5250 = 3 bags Thus, the number of bags in the sack = 3 bags. 5.250
(5) 0 l 993 ml ID : au-4-conversion-of-units [6] Lets convert the quantity of the diesel in the same unit i.e. litres. We know that ml = /000 l Total diesel in the container = 97 litres 546 millilitre = 97 + 546/000 litres = 97.546 litres The diesel added to the container by each worker = litre 2 ml = + 2/000 litres =.2 litres The diesel added to the container by 4 workers =.2 * 4 = 4.448 litres Step 5 Total amount of diesel in the container = 97.546 + 4.448 = 0.993 litre = 0 litre 993 ml Step 6 Theref ore, the total amount of diesel in the container is 0 litre 993 ml. (6) 80 Total length of the piece of wood = 72 meter Length of each piece needed = 40 Total number of pieces that Carol can cut = Total length of the piece of wood Length of the piece = 72 meter 40 cm 72 00 cm = 40 cm = 80 Theref ore, Carol can cut 80 pieces of length 40 cm f rom a piece of wood 72 meter long. (7) d. 8.7 m (8) A) 80 20
C) 0.0005 ID : au-4-conversion-of-units [7] (9) A) 6.2297 We have been asked to Convert 62297 centimeter to hectometer. We know that meter = 00 centimeter or centimeter = meter = 0.0 meter 00 or 62297 centimeter = 62297 0.0 meter = 622.97 meter Since, hectometer = 00 meter or meter = 00 hectometer = 0.0 hectometer or 622.97 meter = 622.97 0.0 hectometer = 6.2297 hectometer T hus, 62297 centimeter is equal to 6.2297 hectometer. 53322.7 We have been asked to Convert 533227 decimeter to meter. We know that meter = 0 decimeter or decimeter = meter = 0. meter 0 or 533227 decimeter = 533227 0. meter = 53322.7 meter T hus, 533227 decimeter is equal to 53322.7 meter.
C) 74.2384 ID : au-4-conversion-of-units [8] We have been asked to Convert 742384 decilitre to kilolitre. We know that litre = 0 decilitre or decilitre = litre = 0. litre 0 or 742384 decilitre = 742384 0. litre = 74238.4 litre Since, kilolitre = 000 litre or litre = kilolitre = 0.00 kilolitre 000 or 74238.4 litre = 74238.4 0.00 kilolitre = 74.2384 kilolitre T hus, 742384 decilitre is equal to 74.2384 kilolitre. 76.008 We have been asked to Convert 76008 millilitre to decalitre. We know that litre = 000 millilitre or millilitre = litre = 0.00 litre 000 or 76008 millilitre = 76008 0.00 litre = 760.08 litre Since, decalitre = 0 litre or litre = decalitre = 0. decalitre 0 or 760.08 litre = 760.08 0. decalitre = 76.008 decalitre T hus, 76008 millilitre is equal to 76.008 decalitre.
(0) 0000 ID : au-4-conversion-of-units [9] Length of the cuboid, L = m Width of the cuboid, W = 2 m Height of the cuboid, H = 5 m Capacity of the tank = L W H = 2 5 m 3 = 0 m 3 Since, m 3 = 000 litres Now, the capacity of the tank = 0 000 litres = 0000 litres Theref ore, the volume of the water that tank can hold is 0000 litres. () 37 490 Distance Kevin traveled by bus = 28 km 260 m Distance Kevin traveled by taxi = 6.2 km Distance Kevin covered by walk = 3 km 0 m Total distance traveled by the Kevin = Distance traveled by bus + Distance traveled by taxi + Distance traveled by walk = 28 km 260 m + 6.2 km + 3 km 0 m = 28.260 km + 6.2 km + 3.0 km = 37.49 km Step 5 Theref ore, the total distance traveled by Kevin is 37.49 km. (2) A) C) 700 9000 40 50
(3) 63960 260 ID : au-4-conversion-of-units [0] Total water in a small dam = 49 kl 62 l 762 ml 49 kl into l = 49 000 = 49000 l 762 ml into l = 762/000 = 0.762 l Total water in the dam in l = 49000 l + 62 l + 0.762 l = 4962.762 l Water let out f rom the dam = 50 kl 2 l 502 ml 50 kl into l = 50 000 = 50000 l 502 ml into l = 502/000 = 0.502 l Water let out f rom the dam in l = 50000 l + 2 l + 0.502 l = 50002.502 l Water lef t in the dam = Total water in the dam in l - Water let out f rom the dam in l = 4962.762-50002.502 = 63960.26 l Theref ore, 63960.26 l water is remaining in the dam. (4) 8 According to the question, an elevator in a mall can carry 3 adults or 39 children at one time. It means that weight of 3 adults is equal to the weight of 39 children. Theref ore the average weight of an adult is equal to the average weight of 39 = 3 3 children. Now, adults in the lif t = 7 Number of the additional adults that lif t can carry = 3-7 = 6 Theref ore the number of additional children that lif t can carry = 6 3 = 8 T heref ore, the number of additional children that can be accommodated are 8.
(5) 7 ID : au-4-conversion-of-units [] Total length of the three sticks = 2.05 m Length of the one stick = 7 m 70 cm = 7 + 70/00 m = 7.70 m Length of the second stick = 6 m 24 cm = 6 + 24/00 =6.24 m Length of the third stick = Total length of the three stick - Length of the f irst stick - Length of the second stick = 2.05-7.70-6.24 m = 7. m = 7 m cm Step 5 Theref ore, the length of the third stick is 7 m cm.