Grade Six Mathematics
Answers to last week’s exercise
Exercise 1
A. 1 kg = 1000 g B. 1 hg = 100 g C. 1 dag = 10 g D. 1 dg = 0.1 g E. 1 cg = 0.01 g F. 1 mg = 0.001 g
Exercise 2 a) 12 g = 12,000 mg b) 20 g = 20,000 mg c) 8.3 g = 8,300 mg d) 9.51 g = 9,510 mg e) 2.9 g = 2,900 mg f) 5.53 g = 5,530 mg g) 77.4 g = 77,400 mg h) 10 g = 10,000 mg
i) If Sarah has 3 g of flour, she would have 3,000 mg (since 1 g = 1000 mg).
j) 45 g of sugar is equal to 45,000 mg.
Hello Boys and Girls!
I trust you had a pleasant week at school. In our previous session, we delved into the realm of measurement, specifically converting mass units. However, for this week, our primary emphasis will be placed on measurements of capacity.
Please approach your tasks with caution.
Measurement
Exercise 3 a) 21,000 g b) 18,000 g c)) 45600 g d) 5,500 g e) 34,874 g f) 73,000g g) 6,000g h) 90,000g Exercise 4 a) 6g b) 3.87g c) 5g d) 9.61g e) 6.787g f) 0.3g
Exercise 5 a. 7kg b. 1.9kg c. 2.2kg d. 8kg e. 6.5kg f. 0.35kg
To answer questions such as 'What is the volume of water in the bottle?' we require measurements of capacity, which is typically applied to liquids.
Now, how is 'Capacity' defined in mathematics?
Have you ever observed that there is a specific limit to the amount of water that a pan or bottle can hold? The highest quantity for all soft drinks and milk is specified on the bottle. In mathematics, capacity is defined as the maximum amount that a container can contain when it is filled.
In the metric system, the standard unit for measuring capacity is the LITRE, and the symbol used is ‘L’
In the field of mathematics, two main units are used for the measurement of liquids. They are the Litres and the Millilitres.
Ok boys and girls, before we delve further into today's lesson, let's begin with an exercise to assess our reasoning abilities. Please respond to the following questions:
Exercise 1
1. How many ½ litres are there in 1 litre?
2. 3.
How many half-litres are there in 3 litres?
How many ½ litres are there in 7 ½ litres?
4. How many ½ litres are there in 9 ½ litres? Fill in the missing quantities below.
5.
1L = ¼ L + __L + __L + __L
Fantastic! I believe you've become proficient in that task! Feel free to have a parent or sibling review your work.
Now, let's proceed to explore the process of converting between dif ferent units of capacity.
Here are the formulae we apply, when converting from one unit to another:
1 litre = 250 millilitres
4
1 litre = 500 millilitres 2
1 litre = 1000 millilitres
Note: When changing a large unit to a smaller unit, we MULTIPLY.
Example 1:
Change 5 litres to millilitres.
Since 1000ml= 1 litre, multiply 5 by 1000 5 x 1000 = 5000ml
Example 2
Change 5.3 litres to ml.
Since you are multiplying a decimal by 1000, shift the point three places to the right.
5.3 x 1000 = 5300ml
It’s that simple! Let’s practice working on a few.
Exercise 2
Convert the following litres to millilitres. 1. 12L
2. 8L
3. 8.7 L
4. 5.5 L
5. 2.37 L
6. 3.45 L
7. 8.889 L
8. 4.754 L
Good job, boys and girls!
Now pupils, what steps do you believe we should take when converting a smaller unit into a larger one?
That’s right!
When changing from a small unit to a larger unit, we DIVIDE. Hence, let us examine how we can convert from millilitres to litres.
Example 1
Change 6000 millilitres to litres.
Since 1000 ml = 1 litre, divide 6000 by 1000 6000 ÷ 1000= 6L
Example 2
Change 2341 ml to litres.
Since you are dividing by 1000, shift the point three places to the left.
2341 ÷ 1000 = 2.341 L
Now, let us apply the concept we have learned, by working on the following exercise:
Exercise 3
Convert the following to Litres: 1. 9000 ml 2. 12350 ml 3. 4376 ml 4. 30 ml 5. 4226 ml 6. 7. 8. 9.
Conversion of Litres to Millilitres 950 ml 6547 ml 4000 ml 2310 ml 10. 7790 ml
Converting Millilitres to Litres
Great job, boys and girls!
That’s all for today boys and girls. Thank you for being receptive to the knowledge you were exposed to. Check back next week for the answers to this week’s problems. In our next lesson, we’ll be examining the concept of the perimeter of shapes.