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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.


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.



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



17 000 000



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


liter 2 261
kℓ 0,018 1,479 3,012


3.1: 4,342 ℓ

3.2: 2,575 ℓ

3.3: 6,125 ℓ

3.4: 5,110 ℓ


4.1: 16,7 kℓ

4.2: 13,035 kℓ

  • :18,850 kℓ
  • :4.4 17,608 kℓ


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

anyone know any internet site where one can find nanotechnology papers?
Damian Reply
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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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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