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y = 5,532 m

I also convert everything to the smallest unit before I subtract, e.g.

k = 9,075 ton – 4 328 kg

= 9 075 kg – 4 328 kg

9 075

− 4 328

4 747

= 4 747 kg

k = 4,747 t

5. Calculate the following:

5.1 c = 4,7 km + 876 m + 2,794 km + 65 m

5.2 e = 7,632 kg – 1 278 g

5.3 f = 2,03 kℓ + 432 litres + 0,869 kℓ + 38 litres

5.4 h = 19 litres – 2 347 mℓ

Activity 3:

To solve problems that include selecting, calculating and converting standard units [LO 4.6]

Choose a friend to work with you, and try to solve the following problems. You are NOT allowed to use a pocket calculator! Ask your teacher for paper to work on.

1. The following items must be filled with petrol:

  • the school bus 85,6 litres
  • a motor-bike 14,65 litres
  • an empty can 893 mℓ
  • a pick-up van 64,4 litres
  • How many litres of petrol will be used altogether?
  • Write your answer as kℓ.

2. A family’s mass is made up as follows:

  • newly-born infant 2 667 g
  • sister 19,8 kg
  • mother 63,9 kg

2.1 What is the joint mass of the family in kg?

2.2 Write your answer in tons.

3. The Grade 5’s do textile painting on pieces of material that consist of the following lengths:

  • 585 mm
  • 1,024 m
  • 362 mm

3.1 On how many mm of material have they painted altogether?

3.2 Give your answer in metres.

4. If an elephant has an average weight of 7 tons and a hippopotamus has an average weight of 1 500 kg, what is the difference in mass between them? Give your answer in kg first, and then in tons.

5. A barrel contains approximately 9,5 litres of water. If I fill a 775 mℓ bottle from it, how much water is left in the barrel? Write your answer as litres.

6. There are 16,84 metres of material on a roll. If your mother cuts off 739 cm, how many metres of material are left on the roll?

Write your answer as mm.!

7. Use a pocket calculator to check your answers.

8. Now compare your answers with the rest of the class and have a class discussion on the best way of solving the above-mentioned problems.

9. Give your answers to your teacher for assessment.

Assessment

LO 4
MeasurementThe learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts.
We know this when the learner:
4.1 reads, tells and writes analogue, digital and 24-hour time to at least the nearest minute and second;
4.2 solves problems involving calculation and conversion between appropriate time units including decades, centuries and millennia;
4.3 uses time-measuring instruments to appropriate levels of precision including watches and stopwatches;
4.4 describes and illustrates ways of representing time in different cultures throughout history;
4.5 estimates, measures, records, compares and orders two-dimensional shapes and three-dimensional objects using S.I. units with appropriate precision for:
  • mass using grams (g) en kilograms (kg);
  • capacity using millimetres (mm), centimetres (cm), metres (m) en kilometres (km);
  • length using. millimetres (mm), centimetres (cm), metres (m) en kilometres (km);
4.6 solves problems involving selecting, calculating with and converting between appropriate S.I. units listed above, integrating appropriate contexts for Technology and Natural Sciences;
4.7 uses appropriate measuring instruments (with understanding of their limitations) to appropriate levels of precision including:
  • bathroom scales, kitchen scales and balances to measure mass;
  • measuring jugs to measure capacity;
  • rulers, metre sticks, tape measures and trundle wheels to measure length.

Memorandum

ACTIVITY 1

1. 1.1 mℓ

1.2 ℓ

1.3 mℓ

1.4 kℓ

2. 2.1: 5

2.2: 5

2.3: 15

2.4: 200

2.5: 250

2.6 – 2.10 own answers

3. 3.1: 1 000

1 ℓ

3.2: 750

0,750

DID YOU KNOW?

17 000 000

ACTIVITY 2

2.1

mℓ 980 1 423 6
liter 0,004 0,016 0,369

2.2

liter 2 261
kℓ 0,018 1,479 3,012

3.

3.1: 4,342 ℓ

3.2: 2,575 ℓ

3.3: 6,125 ℓ

3.4: 5,110 ℓ

4.

4.1: 16,7 kℓ

4.2: 13,035 kℓ

  • :18,850 kℓ
  • :4.4 17,608 kℓ

5.

5.1: 8,435 km

8 435 m

5.2: 6 354 g

6,354 kg

5.3:3 369 ℓ

3,369 kℓ

5.4:16 653 mℓ

16,653 ℓ

Questions & Answers

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
Eunice Reply
what is a capacitor?
Raymond Reply
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
innocent
Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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Source:  OpenStax, Mathematics grade 5. OpenStax CNX. Sep 23, 2009 Download for free at http://cnx.org/content/col10994/1.3
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