Grade 4 Conversion of Units

Transcription

1 ID : au-4-conversion-of-units [] Grade 4 Conversion of Units For more such worksheets visit 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 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 m c 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:

2 A) centimeter to ID : au-4-conversion-of-units [2] decimeter to hectometer meter C) decilitre to kilolitre 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 ( All Rights Reserved Many more such worksheets can be generated at

3 Answers ID : au-4-conversion-of-units [3] () (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 = = 68.5 kg Step 5 Theref ore, the f inal weight of the pears is 68.5 kg. (3) A) We know that, Decimeter(dm) = 0. meter(m) Kilometer(km) = 000 meter(m) Hectometer(hm) = 00 meter(m) 70 dm = m = 7 meter(m) 90 km = m = meter(m) 33 hm = m = 3300 meter(m) Theref ore, 70 dm 90 km 33 hm = 7 m m m = m Since, meter = 00 Centimeter(cm) Theref ore, m = cm = cm Thus, 70 dm 90 km 33 hm is equal to cm.

4 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 = m = 6200 meter(m) 40 cm = m = 0.4 meter(m) 53 mm = m = meter(m) Theref ore, 62 hm 40 cm 53 mm = 6200 m m m = m Thus, 62 hm 40 cm 53 mm is equal to m. C) We know that, Milligram(mg) = 0.00 gram(g) Centigram(cg) = 0.0 gram(g) Dakagram(dag) = 0 gram(g) 72 mg = g = gram(g) 7 cg = g = 0.7 gram(g) 79 dag = 79 0 g = 790 gram(g) Theref ore, 72 mg 7 cg 79 dag = g g g = g Since, gram = 0.0 Hectogram(hg) Theref ore, g = hg = hg Thus, 72 mg 7 cg 79 dag is equal to hg.

5 ID : au-4-conversion-of-units [5] We know that, Centiliter(cl) = 0.0 liter(l) Dakaliter(dal) = 0 liter(l) 75 cl = 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 l = l Since, liter = 0 Deciliter(dl) Theref ore, l = dl = dl Thus, 75 cl 84 l 44 dal is equal to dl. (4) 3 Since we know that kg = 000 grams, 250 grams = 250/000 = kgs, 5 kgs 250 grams = kgs. According to the question, the weight of each bag of pears = 5 kgs 250 grams. or we can say that, kgs weighs of the pears contained by the bag = bag. or kg weighs of the pears contained by the bags = bags Theref ore, kgs weight of the pears contained by the number of bags = = = = 3 bags Thus, the number of bags in the sack = 3 bags

6 (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 = /000 litres = 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 = litres Step 5 Total amount of diesel in the container = = 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 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

7 C) ID : au-4-conversion-of-units [7] (9) A) We have been asked to Convert centimeter to hectometer. We know that meter = 00 centimeter or centimeter = meter = 0.0 meter 00 or centimeter = meter = meter Since, hectometer = 00 meter or meter = 00 hectometer = 0.0 hectometer or meter = hectometer = hectometer T hus, centimeter is equal to hectometer We have been asked to Convert decimeter to meter. We know that meter = 0 decimeter or decimeter = meter = 0. meter 0 or decimeter = meter = meter T hus, decimeter is equal to meter.

8 C) ID : au-4-conversion-of-units [8] We have been asked to Convert decilitre to kilolitre. We know that litre = 0 decilitre or decilitre = litre = 0. litre 0 or decilitre = litre = litre Since, kilolitre = 000 litre or litre = kilolitre = 0.00 kilolitre 000 or litre = kilolitre = kilolitre T hus, decilitre is equal to kilolitre We have been asked to Convert millilitre to decalitre. We know that litre = 000 millilitre or millilitre = litre = 0.00 litre 000 or millilitre = litre = litre Since, decalitre = 0 litre or litre = decalitre = 0. decalitre 0 or litre = decalitre = decalitre T hus, millilitre is equal to decalitre.

9 (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 = litres = 0000 litres Theref ore, the volume of the water that tank can hold is 0000 litres. () 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 km + 3 km 0 m = km km km = km Step 5 Theref ore, the total distance traveled by Kevin is km. (2) A) C)

10 (3) ID : au-4-conversion-of-units [0] Total water in a small dam = 49 kl 62 l 762 ml 49 kl into l = = l 762 ml into l = 762/000 = l Total water in the dam in l = l + 62 l l = l Water let out f rom the dam = 50 kl 2 l 502 ml 50 kl into l = = l 502 ml into l = 502/000 = l Water let out f rom the dam in l = l + 2 l l = l Water lef t in the dam = Total water in the dam in l - Water let out f rom the dam in l = = l Theref ore, 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.

11 (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 = /00 m = 7.70 m Length of the second stick = 6 m 24 cm = /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 = m = 7. m = 7 m cm Step 5 Theref ore, the length of the third stick is 7 m cm.