PE4MA Metric Measurements and Conversions
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Questions and Answers

What is the result of subtracting 750 grams from 550 grams?

  • -200 grams
  • 1300 grams
  • It is not possible to subtract a larger number from a smaller number. (correct)
  • 200 grams

How many kilograms are there in one tonne?

  • 1
  • 10
  • 100
  • 1000 (correct)

What is the result of subtracting 420 kilograms from 740 kilograms?

  • 320 kilograms (correct)
  • 1160 kilograms
  • 32,000 kilograms
  • 13,600 kilograms

After subtracting 420 kilograms, how many kilograms are left in the problem?

<p>199 kilograms (A)</p> Signup and view all the answers

When subtracting 300 kilograms from 199 kilograms, what needs to be done to proceed with the subtraction?

<p>Borrow 1 tonne from the kilograms column (D)</p> Signup and view all the answers

What is the combined weight in kilograms after borrowing 1 tonne and adding it to the existing 199 kilograms?

<p>1199 kilograms (A)</p> Signup and view all the answers

What is the result of subtracting 300 kilograms from 1199 kilograms?

<p>899 kilograms (B)</p> Signup and view all the answers

How many tonnes are left after subtracting 6 tonnes from 12 tonnes?

<p>6 tonnes (B)</p> Signup and view all the answers

What is the final weight in kilograms after subtracting 6 tonnes and then 300 kilograms?

<p>899 kilograms (C)</p> Signup and view all the answers

What is the starting weight in tonnes, kilograms, and grams, as shown in the problem?

<p>12 tonnes, 740 kilograms and 1550 grams (A)</p> Signup and view all the answers

What is the conversion of 100 metres into centimetres?

<p>10000 cm (D)</p> Signup and view all the answers

What is the difference in distance walked between Kija and Ashura?

<p>1772 m (C)</p> Signup and view all the answers

How many metres are equivalent to 12 kilometres?

<p>12000 m (B)</p> Signup and view all the answers

Which of the following correctly expresses the number of grams in 1 kilogram?

<p>1000 g (C)</p> Signup and view all the answers

What is the primary focus of this chapter?

<p>Conversion of large metric units to small units (B)</p> Signup and view all the answers

Which method is suggested for converting larger units to smaller units?

<p>Multiplication method (A)</p> Signup and view all the answers

What units are compared for conversion in this chapter?

<p>Metres and centimetres (D)</p> Signup and view all the answers

In what applications can the concepts from this chapter be used?

<p>Agriculture and design (B)</p> Signup and view all the answers

How would you convert 3 meters into centimeters?

<p>300 cm (B)</p> Signup and view all the answers

What is emphasized about the relationships among metric units?

<p>They are essential for specific applications. (B)</p> Signup and view all the answers

What additional metric measurements does the chapter mention alongside length?

<p>Mass and volume (C)</p> Signup and view all the answers

What is the length of a ruler in metres if it is 100 centimetres long?

<p>1 metre (A)</p> Signup and view all the answers

How many kilograms are there in a container that weighs 2 tonnes and 300 kilograms?

<p>20300 kg (A)</p> Signup and view all the answers

How many millilitres of oil does a factory produce in one week if it produces 345 litres daily?

<p>2415000 ml (D)</p> Signup and view all the answers

What is the weight in kilograms of a maize sack that weighs 18250 grams?

<p>18.25 kg (B)</p> Signup and view all the answers

What is the total volume of milk produced by two cows if the first cow produces 2 litres and 353 millilitres and the second cow 5 litres and 452 millilitres?

<p>7.805 litres (A)</p> Signup and view all the answers

What is the equivalent of 4 kg in grams?

<p>4000 g (C)</p> Signup and view all the answers

Which measurement is the largest among 7500 grams, 3 tonnes, 4000 kilograms, and 2350 milligrams?

<p>3 tonnes (B)</p> Signup and view all the answers

What is the volume of water in a bucket if it has a capacity of 10 litres?

<p>10000 ml (B)</p> Signup and view all the answers

How many grams are there in 1 kilogram?

<p>1000 g (A)</p> Signup and view all the answers

Which of the following options correctly converts 300 kilograms into grams?

<p>300000 g (D)</p> Signup and view all the answers

What is the conversion of 7,000 g into kilograms?

<p>7 kg (C)</p> Signup and view all the answers

If one cow produces 2 litres, and another produces 5 litres, what is the total volume in millilitres?

<p>8000 ml (D)</p> Signup and view all the answers

Which unit is heavier than a gram but lighter than a kilogram?

<p>Dekagram (D)</p> Signup and view all the answers

If 10 kg is converted to grams, what is the result?

<p>10000 g (A)</p> Signup and view all the answers

Which of the following correctly reflects a standard metric conversion?

<p>100 g = 1 hg (D)</p> Signup and view all the answers

What is 50,000 mg in kilograms?

<p>0.5 kg (C)</p> Signup and view all the answers

How many centigrams are there in 1 gram?

<p>100 cg (D)</p> Signup and view all the answers

In the metric system, how many grams are in a hectogram?

<p>100 g (C)</p> Signup and view all the answers

What is the conversion factor between dekagrams and grams?

<p>1 dag = 100 g (B)</p> Signup and view all the answers

A factory produces 345 litres of oil daily. How much oil, in cubic centimeters, will the factory produce in 2 days?

<p>690,000 cc (C)</p> Signup and view all the answers

If a bucket contains 10 litres of water, what is the mass of the water in kilograms, assuming the density of water is 1 kg/litre?

<p>10 kg (D)</p> Signup and view all the answers

What is the combined mass, in grams, of two maize sacks, one weighing 18,250 grams and the other half that weight?

<p>27,375 g (A)</p> Signup and view all the answers

A cow produces 2 litres and 353 millilitres of milk and another produces 5 litres and 452 millilitres. What is the total milk in litres?

<p>8.805 litres (A)</p> Signup and view all the answers

If a container weighs 2 tonnes and 300 kilograms, and 1 tonne is removed, what is the remaining weight in kilograms?

<p>1,300 kg (D)</p> Signup and view all the answers

How many milligrams are in 4 kg?

<p>4,000,000 mg (B)</p> Signup and view all the answers

Given four measurements of 7500 grams, 3 tonnes, 4000 kilograms, and 2350 milligrams, which is the second largest?

<p>7500 grams (A)</p> Signup and view all the answers

If you have 12 km and 200 m and you subtract 4 km and 950 m, what is the correct result?

<p>7 km and 250 m (A)</p> Signup and view all the answers

When converting 9000 meters to kilometers, what is the correct value?

<p>9 km (A)</p> Signup and view all the answers

What is the result of adding 7 km and 5 hm, to 4 km and 8 hm?

<p>12 km and 3 hm (A)</p> Signup and view all the answers

If you have 2000 cm, how many meters is that?

<p>20 m (D)</p> Signup and view all the answers

How many centimetres are in 550 mm?

<p>55 cm (D)</p> Signup and view all the answers

What is the sum of 10 tonnes 470 kilograms and 17 tonnes 675 kilograms?

<p>28 tonnes 145 kilograms (A)</p> Signup and view all the answers

When subtracting masses, which unit should be subtracted first?

<p>The smallest unit (B)</p> Signup and view all the answers

What is the value of 6 kg in grams?

<p>6,000 grams (A)</p> Signup and view all the answers

If you need to regroup units during subtraction, what relationship should you consider?

<p>The relationship between the given units of mass (C)</p> Signup and view all the answers

What is the missing number in the provided sequence: 3, 9, _, 50, 90?

<p>27 (A)</p> Signup and view all the answers

When adding units of mass, which order is correct?

<p>Add smaller units first and then larger units (A)</p> Signup and view all the answers

How many kilograms will remain if you subtract 40.80 tonnes from 71.14 tonnes?

<p>30.34 tonnes (D)</p> Signup and view all the answers

How many kilograms are in 8,000 grams?

<p>8 kilograms (C)</p> Signup and view all the answers

Given the value of 22 in the provided sequences, what values must be used to get the preceding value of 14 and following value of 70?

<p>Subtract 8/Add 48 (C)</p> Signup and view all the answers

How do you convert kilograms to grams?

<p>Multiply by 1000 (A)</p> Signup and view all the answers

How many litres of milk will a cow produce in 5 days if it produces 20 litres per day?

<p>100 litres (D)</p> Signup and view all the answers

What is the total volume in millilitres if 6 litres and 550 millilitres are added to 3 litres and 160 millilitres?

<p>9,710 mL (A)</p> Signup and view all the answers

If a well produces 24,758 litres and 580 millilitres of water daily, and 17,900 litres and 846 millilitres are used, how much water remains in litres and mililitres?

<p>6,857 litres and 266 millilitres (A)</p> Signup and view all the answers

Mbale drank 3 litres, and Senga drank 2,000 millilitres of water. What is the difference in the amount they drank in millilitres?

<p>1000 mL (D)</p> Signup and view all the answers

If a container has 5 litres of a liquid, and 250 ml are poured out, then another 1750 ml are poured in, what is the final total in litres?

<p>6.5 L (B)</p> Signup and view all the answers

A tank has 100 litres of water, if this tank loses 20,000 mililitres of water, how much water is remaining in litres?

<p>80 litres (D)</p> Signup and view all the answers

If a factory produces 450 litres of oil in a day, how many millilitres of oil will it produce in 2 days?

<p>900,000 ml (C)</p> Signup and view all the answers

A farmer has two containers, one with 750 ml of milk and the other has 17 liters. What is the total amount of milk in both containers, expressed in mililitres?

<p>17,750 ml (B)</p> Signup and view all the answers

After using 10 litres of water from a full 30-litre drum, how many millilitres of water remain in the drum?

<p>20,000 ml (C)</p> Signup and view all the answers

Bilali bought a fabric of 50 m and Kulwa bought a fabric of 200 cm. How much longer is Bilali's fabric than Kulwa's, in centimetres?

<p>4800 cm (C)</p> Signup and view all the answers

If a road is 3 km and 500 m long, what is its length in meters?

<p>3500 m (A)</p> Signup and view all the answers

Kija walked 8 km and 700 m, and Ashura walked 6928 m. How much farther did Kija walk than Ashura, in meters?

<p>1772 m (D)</p> Signup and view all the answers

The distance from school to the dispensary is 800 m, and from school to the market is 1 km. What is the difference in meters between these two distances?

<p>200 m (A)</p> Signup and view all the answers

A football field is 7000 cm from the classroom, and the head teacher's office is 70 m from the same classroom. Which is farther and by how much in metres?

<p>Football field by 63 m (A)</p> Signup and view all the answers

Bahati walks 3 km and 500 m every morning, and 1 km and 500 m every evening. Doto walks 5 km and 100 m every morning. Who walks a longer distance daily and by how many meters?

<p>Bahati by 900m (C)</p> Signup and view all the answers

A road is 3 kilometers and 500 meters long. What is the length of the road in metres?

<p>3500 meters (A)</p> Signup and view all the answers

What is the result of subtracting 4 km and 950 m from 11 km and 1200 m?

<p>7 km 250 m (B)</p> Signup and view all the answers

Subtract 4 km 580 m and 76 cm from 9 km 1159 m and 155 cm. What is the result?

<p>5 km 579 m 79 cm (D)</p> Signup and view all the answers

How do you correctly use borrowing during subtraction of measures, e.g. km, m and cm

<p>Borrow from the immediately larger unit (D)</p> Signup and view all the answers

What is the result when 45 cm is subtracted from 20 cm?

<p>-25 cm (B)</p> Signup and view all the answers

In the given subtraction steps, what remains in the kilometers column after calculating 9 km minus 0 km?

<p>9 km (B)</p> Signup and view all the answers

What is the correct way to express 579 m in terms of kilometers and meters?

<p>0 km and 579 m (A)</p> Signup and view all the answers

When given the problem of subtracting 4 m from 2 m, what is the correct action?

<p>Write -2 m as the result in the m column. (B)</p> Signup and view all the answers

What is the final value of the subtraction if 6 m is taken away from 2 m?

<p>-4 m (B)</p> Signup and view all the answers

If a factory produces 345 litres of sunflower oil daily, and considering there are approximately $3.45 \times 10^7$ cubic millimeters in one week's production, how many cubic centimeters is this equivalent to in one day?

<p>345,000 cubic centimeters (D)</p> Signup and view all the answers

Given that a maize sack weighs 18,250 grams and a bucket of water contains 10 litres (which is approximately equal to 10 kg), what is the combined weight of 2 maize sacks and 2 buckets of water in kilograms?

<p>36.5 kg (C)</p> Signup and view all the answers

If two cows produce milk, one yielding 2 litres and 353 millilitres, the other 5 litres and 452 millilitres, and a third cow produces 1.5 litres less than the total of the first two cows. What is the volume of milk from the third cow in centilitres?

<p>630.5 cl (D)</p> Signup and view all the answers

Consider these measurements: 7500 grams, 3 tonnes, 4000 kilograms, and 2350 milligrams. If these are ranked in order from smallest to largest, which would be the second measurement in the sequence?

<p>7500 grams (B)</p> Signup and view all the answers

A container weighs 2 tonnes and 300 kilograms. If 750,000 grams of weight are removed, what will be the container's new weight in kilograms?

<p>1550 kg (B)</p> Signup and view all the answers

If a ruler is 100 centimeters long, which of the following represents its length in meters, millimeters, and kilometers respectively?

<p>1 m, 1000 mm, 0.001 km (D)</p> Signup and view all the answers

Given a series of measurements of 660cm, 9500mm, 100m and 1km, which of these is not in a sequence from smallest to largest?

<p>100 m, 1 km, 9500 mm, 660 cm (A)</p> Signup and view all the answers

What is the correct conversion of 4.5 litres into millilitres?

<p>4500 mL (A)</p> Signup and view all the answers

A container holds 1.5 litres of liquid. If 300 mL are removed from the container, how much liquid remains in millilitres?

<p>1200 mL (D)</p> Signup and view all the answers

If you add 3500 grams of rice to 2.5 kilograms of wheat, what is the total mass in kilograms?

<p>6 kg (C)</p> Signup and view all the answers

A sack contains 25 kilograms of flour. If 12,500 grams of flour are used, what mass of flour, in kilograms, remains?

<p>12.5 kg (D)</p> Signup and view all the answers

What is the difference in mass, in grams, between a 6 kg object and a 3500 g object?

<p>2500 g (B)</p> Signup and view all the answers

If a container has 2.3 litres and 750 millilitres of liquid are added, what is the total volume in millilitres?

<p>3050 mL (B)</p> Signup and view all the answers

A factory produces 1.2 tonnes of goods. If 200 kilograms are sold, how many kilograms of goods remain?

<p>1000 kg (A)</p> Signup and view all the answers

What is the combined weight, in grams, of 2 sacks of potatoes, one weighing 3.5 kg and the other 2700 g?

<p>6200 g (D)</p> Signup and view all the answers

If a recipe calls for 3000 milligrams of an ingredient, what is equivalent weight in grams?

<p>30 g (C)</p> Signup and view all the answers

A baker uses 2.5 kg of sugar. If they want to measure this using grams and hectograms, what would be the correct mixed representation?

<p>2500 g and 25 hg (C)</p> Signup and view all the answers

A recipe calls for 150 grams of butter. If a chef accidentally measures 0.20 kilograms of butter, how many grams over the required amount is that?

<p>50 grams (D)</p> Signup and view all the answers

A truck carries 3.7 tonnes of cargo. If 1,200 kg is removed, what is the remaining mass of cargo in both kilograms and tonnes?

<p>2,500 kg and 2.5 tonnes (B), 2,500 kg and 2.5 tonnes (D)</p> Signup and view all the answers

If a container holds 6,000,000 milligrams of material, what is the equivalent mass in kilograms?

<p>6 kg (D)</p> Signup and view all the answers

Which of the following represents the equivalent of 8500 grams in kilograms and hectograms?

<p>8.5 kg and 85 hg (D)</p> Signup and view all the answers

A baker mixes 200g of sugar, 300g of butter and 500g of flour. What is the combined weight in kilograms?

<p>1 kg (B)</p> Signup and view all the answers

A farmer harvests 2 tonnes of maize and 700 kilograms of beans. If he sells 1.8 tonnes of maize, what is the remaining mass of maize and beans combined in kilograms?

<p>900 kg (D)</p> Signup and view all the answers

A recipe calls for 100 g of butter, which is 4 parts of the total ingredient weight, how much is the total weight in grams?

<p>500 g (B)</p> Signup and view all the answers

If a truck carries 5 tonnes and unloads 2,750 kg, what is the remaining weight of the load in both tonnes and kilograms?

<p>2.25 tonnes and 2,250 kg (A)</p> Signup and view all the answers

A shipment contains 3000kg of goods and half of the goods are removed for another destination. If the other destination takes both kilograms and tonnes what would the remaining weight be in both kilograms and tonnes?

<p>1500 kg and 1.5 tonnes (B)</p> Signup and view all the answers

A road construction team uses 3 tonnes of gravel and 2,500 kilograms of cement. What is the total combined weight of the gravel and cement in kilograms?

<p>5,500 kg (D)</p> Signup and view all the answers

A tailor has a bolt of fabric that is 15 meters and 75 centimeters long. He uses 9 meters and 20 centimeters of the fabric to make a dress. What length of fabric is remaining, in centimetres?

<p>655 cm (C)</p> Signup and view all the answers

A marathon runner covers an initial distance of 21 km and 300 m. They then run a further 15 km and 850 m. What is the total distance covered by the runner, in metres?

<p>37,150 m (A)</p> Signup and view all the answers

A cargo ship carries 500 tonnes of goods. After unloading 167,000 kg in the first port, how much weight remains on the ship in kilograms?

<p>333,000 kg (D)</p> Signup and view all the answers

A container contains 2.5 tonnes of metal scraps. If 750 kg of the metal scraps are removed, how many kilograms of metal scraps remain?

<p>1,750 kg (B)</p> Signup and view all the answers

A farmer has a rectangular field that measures 200 meters in length and 150 meters in width. What is the total perimeter of this field in kilometers?

<p>0.7 km (C)</p> Signup and view all the answers

If a warehouse received 2 shipments, the first one was 3.8 tonnes and second was 1500 kg. What is the total weight received in tonnes?

<p>5.3 tonnes (C)</p> Signup and view all the answers

A bag of rice weighs 20 kilograms. If a store sells 1,250 grams of rice from the bag, what weight of rice remains in the bag, in grams?

<p>18,750 g (B)</p> Signup and view all the answers

A water tank contains 5 kiloliters. If 2,800 liters of water are used, how many liters of water are remaining in the tank?

<p>2,200 liters (B)</p> Signup and view all the answers

A road is measured to be 5 km long. If a construction team has completed 2 km and 750 meters, how much road length is remaining, in meters?

<p>2,250 m (A)</p> Signup and view all the answers

Flashcards

Conversion of Large Metric Units

The process of changing measurements from larger units to smaller units within the metric system (e.g., meters to centimeters).

Metric Unit Relationships

The relationship between different units of measurement within the metric system (e.g., 1 meter = 100 centimeters).

Multiplication Method (Conversion)

A method used to convert larger units to smaller units, involving multiplication.

Meter (m)

The standard unit of length in the metric system, represented by the symbol 'm'.

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Centimeter (cm)

A smaller unit of length in the metric system, represented by the symbol 'cm'.

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Gram (g)

The standard unit of mass in the metric system, represented by the symbol 'g'.

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Liter (L)

The standard unit of volume in the metric system, represented by the symbol 'L'.

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Kilogram (kg)

A unit of measurement for mass, equal to 1000 grams.

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Conversion

The process of changing a value from one unit of measurement to another.

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Weighing Balance

Used to measure mass, often shown as a scale with two pans.

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Unit Relationship

The relationship between units of measurement, showing how many of one unit are equal to another.

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Kilograms to Grams

Changing kilograms to grams by multiplying the kilogram value by 1000.

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Grams to Kilograms

Changing grams to kilograms by dividing the gram value by 1000.

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Metric System

A system of measurement based on powers of ten, commonly used for mass, length, and volume.

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Kilo

A prefix used in the metric system to indicate a factor of 1000.

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Milli

A prefix used in the metric system to indicate a factor of one-thousandth.

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Measurement

Measuring the length of something, including its height, width, and depth. It's used to determine how big or small an object is.

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Tonne (t)

A unit of measurement for mass equal to 1000 kilograms. Used for very heavy objects.

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Milliliter (ml)

A unit of measurement for volume equal to 1/1000 of a liter. Often used for smaller amounts of liquids.

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Total

Finding the total amount when combining different things. For example, adding the amount of milk produced by two cows.

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Units Conversion in Subtraction

Subtracting quantities with different units, such as tonnes, kilograms, and grams, involves borrowing from a larger unit to make the subtraction possible.

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Borrowing Grams

When subtracting grams that results in a negative value, borrow 1 kilogram (1000 grams) from the kilograms column.

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Borrowing Kilograms

When subtracting kilograms that results in a negative value, borrow 1 tonne (1000 kilograms) from the tonnes column.

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Adding Borrowed Value

In subtraction, the 'borrowed' value is added to the smaller unit before the subtraction is performed.

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Unit Conversion Importance

Subtracting quantities with different units (e.g., tonnes, kilograms, grams) requires converting units to ensure the subtraction is accurate.

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Converting Borrowed Value

The 'borrowed' value is converted to the smaller unit before being added to the original quantity.

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Final Subtraction

After borrowing and converting, the subtraction is performed, resulting in a positive difference.

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Writing the Result

The result of unit conversion and subtraction is written in the appropriate column, aligning the units.

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Steps in Unit Subtraction

The subtraction process requires careful attention to unit conversions, borrowing, and adding borrowed values.

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Key Idea: Borrowing & Converting

Understanding the concept of borrowing and converting across different units is crucial for accurate subtraction.

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Conversion of Metric Units

The process of changing measurements from larger units to smaller units within the metric system (e.g., meters to centimeters).

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What's the base unit for length?

The standard unit of length in the metric system.

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What's the base unit for mass?

The standard unit of mass in the metric system, used to measure how much matter an object contains.

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What's the base unit for volume?

The standard unit of volume in the metric system, used to measure how much space a substance occupies.

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What does "kilo" mean?

A prefix in the metric system that means 1000, often used with mass, length, and volume (e.g., 1 kilogram = 1000 grams)

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What does "milli" mean?

A prefix in the metric system that means 1/1000, often used with length, mass, and volume (e.g., 1 milliliter = 1/1000 liter).

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Converting Larger to Smaller

The process of changing a value from a larger unit to a smaller unit within the metric system. For example, converting meters to centimeters.

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How much more water did Mbale drink than Senga?

The difference in the amount of water Mbale and Senga drank is 1 litre and 950 millilitres.

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How much milk will a cow produce in 3 days?

A cow will produce 60,000 ml of milk in 3 days.

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How much water remains in the well?

The water well will have 6,858 litres and 734 millilitres left after daily usage.

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How many litres of milk does a cow produce in 3 days?

The milk production is 60 litres in 3 days.

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Calculate the difference between two amounts of water in litres and millilitres.

The difference between two amounts of water can be calculated by converting millilitres to litres and then subtracting the smaller amount from the larger amount.

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How much water does a water well produce per day?

A water well produces a total of 24,758 litres and 580 millilitres of water per day.

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How much water is used from the well every day?

The total amount of water used every day is 17,900 litres and 846 millilitres.

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How much water did Mbale and Senga drink?

Mbale drank 3 litres of water, and Senga drank 2,000 millilitres.

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Why are metric units of volume important in daily life?

Metric units of volume are crucial for everyday activities involving liquids such as water, milk, and other beverages.

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Relationship: grams & kilograms

Understanding the relationship between grams and kilograms is crucial for adding or subtracting mass measurements.

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Adding Mass

When adding mass measurements, start by adding the smaller units, then move to larger units.

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Subtracting Mass

When subtracting mass measurements, start by subtracting the smaller units, then move to larger units.

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Borrowing in Subtraction

When subtracting and the smaller unit needs to borrow from a higher unit, you need to convert the borrowed value.

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Larger Units to Smaller Units

When converting to a smaller unit, multiply by 1000.

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Smaller Units to Larger Units

When converting to a larger unit, divide by 1000.

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Units Must be the Same

To accurately add or subtract measurements of mass, the units must be the same.

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Expressing the Result

The result after performing addition or subtraction should be expressed using the same units as the initial measurements.

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Converting Metric Units

Converting measurements from larger units to smaller units within the metric system (e.g., kilometers to meters).

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Adding Measurements

Combining measurements of the same unit by adding their numerical values.

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Subtracting Measurements

Subtracting measurements of the same unit by finding the difference between their numerical values.

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Subtracting Mixed Measurements

When subtracting measurements with different units, you need to convert them to the same unit before you can subtract.

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Unit Conversion

Changing a measurement from one unit to another using their relationships (e.g., 1 kilometer = 1000 meters).

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Kilometer to Meter Conversion

1 kilometer (km) is equal to 1000 meters (m).

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Finding the Difference

Finding the difference between two quantities by subtracting the smaller value from the larger one.

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Meter to Centimeter Conversion

1 meter (m) is equal to 100 centimeters (cm).

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Longer Distance

A quantity that is longer than another quantity.

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Comparing Distances

To compare two distances, we need to convert them to the same unit of measurement.

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Subtracting Different Units

When subtracting different units (like kilometers and meters), we need to convert the larger unit to the smaller one.

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Borrowing Meters

When subtracting meters, if we end up with a negative number, we 'borrow' 1 kilometer (1000 meters) from the kilometers column.

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Final Difference

The final result of the subtraction after converting units and borrowing.

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Distance Problem Solving

The calculation for this problem requires understanding the correct unit conversions and performing subtraction with borrowing when necessary.

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Larger to Smaller Volume Conversion

To convert a larger unit of volume to a smaller unit (e.g., liters to milliliters), multiply by 1000.

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Smaller to Larger Volume Conversion

To convert a smaller unit of volume to a larger unit (e.g., milliliters to liters), divide by 1000.

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Subtracting Mixed Volume Measurements

To accurately subtract measurements with different units (like liters and milliliters), convert them to the same unit before subtracting.

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Borrowing for Subtraction

When subtracting quantities with different units (e.g., liters and milliliters), you might need to 'borrow' from a larger unit to make the subtraction possible.

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Borrowing Units in Subtraction

When subtracting metric measurements, if you end up with a negative value in a smaller unit (e.g., meters), you can 'borrow' a larger unit from the column to the left, converting it to the smaller unit before subtracting.

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Same Units for Subtraction

To accurately subtract measurements, all values must be in the same unit. For example, to subtract 1 km and 200 m, convert 1 km to 1000 m then subtract.

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Subtracting Metric Measurements

Subtraction of metric measurements follows the same principles as regular subtraction, but you need to convert units to the same value before subtracting.

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Converting Units in Subtraction

When performing subtraction with metric units, like subtracting meters from kilometers, we need to convert the larger unit (kilometers) to the smaller unit (meters) to ensure the units are the same for subtraction.

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Kilogram to Gram Conversion

1 kilogram (kg) is equal to 1000 grams (g).

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Tonne to Kilogram Conversion

1 tonne (t) is equal to 1000 kilograms (kg).

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Tonnes to Kilograms

1 tonne (t) is equal to 1000 kilograms (kg).

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Converting Grams to Kilograms

5,070,000 grams is equal to 5,070 kilograms.

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What is Mass?

The mass of an object is the amount of matter it contains, measured in units like kilograms, grams, and tonnes.

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Converting Tonnes to Hectograms

15 tonnes is equal to 15,000 hectograms.

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Finding the Difference in Mass

To find the difference in mass between two things, subtract the smaller mass from the larger mass.

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Mass Difference: Beans and Maize

1200 kilograms of beans minus 5000 kilograms of maize equals -3800 kilograms. This means there are 3800 kilograms more maize than beans.

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Adding Mass Measurements

To add masses, ensure they are in the same units (e.g., grams). Then, add the numbers together.

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Subtracting Mass Measurements

To subtract masses, ensure they are in the same units. Then, subtract the smaller value from the larger value.

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Study Notes

Metric Measurements

  • The basic unit of length is the metre (m).
  • Other commonly used units include millimetres (mm), centimetres (cm), and kilometres (km).
  • Conversions between these units can be done using multiplication or division based on the relationship between the units. Conversion tables show relationships between mm, cm, dm, m, dam, hm, and km.

Conversion Tables

  • Millimetres (mm), centimetres (cm), decimetres (dm), metres (m), decametres (dam), hectometres (hm), and kilometres (km) have specific relationships converting between each other. A table displaying the relative sizes of the different units is available. These units are also used to measure mass, and volume.

Conversions & Examples

  • To convert larger units (like metres) to smaller units (like centimetres), use multiplication.
  • To convert smaller units (like centimetres) to larger units (like metres), use division.
  • Example conversion: 3 meters is equal to 300 centimetres.
  • Another example conversion: 5 kilometers and 250 meters is equivalent to 5,250 meters.

Volume Conversions

  • The basic metric unit of volume is the litre (L).
  • The millilitre (mL) is another common unit.
  • 1 litre is equivalent to 1000 millilitres.
  • Conversions involve multiplying or dividing by 1000 to change between litres and millilitres.

Mass Conversions

  • The basic metric unit of mass is the gram (g).
  • Other units include kilogram (kg), and tonne (t).
  • 1 tonne equals 1000 kilograms.
  • 1 kilogram equals 1000 grams.
  • Conversion tables are shown. These tables detail relationships between mg, cg, dg, g, dag, hg, and kg.

Adding and Subtracting

  • Measurements of length, mass, and volume can be added and subtracted if units are the same. Start with the smallest unit, then proceed to the larger ones. If you have mixed units, make sure all units are the same. Convert to get the same unit before you do the addition or subtraction. Example problems are provided. Specific examples of addition and subtraction of different units of length, mass, and volume are shown in the conversion examples.

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Description

This quiz covers the basics of metric measurements, including length and volume conversions. Test your understanding of the relationships between units such as metres, centimetres, and litres, along with practical conversion examples. Prepare to enhance your knowledge of the metric system and its applications.

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