The number system is a way of representing and organizing numbers to
give them meaning and structure. It includes various types of numbers,
such as whole numbers, fractions, and decimals.
Whole numbers are the numbers we commonly use for counting and
representing quantities without fractional or decimal parts. They include
positive numbers, zero (0), and negative numbers.
Fractions represent parts of a whole or a quantity that is divided into
equal parts. They consist of a numerator (the number above the fraction
line) and a denominator (the number below the fraction line). For
example, ½ represents one out of two equal parts.
Decimals are a way to express numbers with fractional parts using a
decimal point. They consist of a whole number part to the left of the
decimal point and a decimal fraction part to the right of the decimal
point. For example, 3.14 represents a number slightly greater than 3.
The number system allows us to perform various mathematical
operations, such as addition, subtraction, multiplication, and division, on
different types of numbers. It also enables us to compare numbers.
Numbers Unlocked | The Number System | PRM-L5-080623-00002
What type of number is 3.5?
What type of number is 6.3?
What type of number is -6?
3
What type of number is ?
2
What type of number is 5?
1
What type of number is ?
6
Numbers Unlocked | The Number System | PRM-L5-080623-00002
9, 5, 7, 2, 3
1.25, 0.8, 3.2, 2.7
1 5 3 7
, , ,
2 2 2 2
Sam has $6, he gives half of his money to
his friends. How much money does Sam have left?
Martha receives a monthly salary of $2000; she
spends a quarter of her salary on groceries. How
much money does Martha spend on groceries?
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Tom and Emily went to a toy store. Tom bought a remote-controlled car
for $30 and a puzzle set for $15. Emily bought a dollhouse for $50 and a
board game for $20. They both wanted to split the total cost equally.
Calculate the following:
a) The total cost of their purchase.
b) The amount both Tom and Emily would have to pay if they split the
expenses equally in decimal form.
c) If they both paid with a $100 bill, how much change should they
receive? Write your answer in decimal form.
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Section
Marks Awarded
Test Yourself
Mastery I
Mastery II
Mastery III
Total marks awarded out of 20
Points
Awarded
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Comments
Question
Answer
Comments
1
Decimal
2
Decimal
3
Whole Number
4
Fraction
5
Whole Number
6
Fraction
Question
Answer
Comments
Mastery I
1
2, 3, 5, 7, 9
2
0.8, 1.25, 2.7, 3.2
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1 3 5 7
, , ,
2 2 2 2
3
Mastery II
1
$3
2
$500
Mastery III
1 (a)
$115
1 (b)
$57.15
1 (c)
$42.85 each
Award mark only if sufficient working
shown.
Marking Guidelines
Section B
Award one mark per question.
The candidate may not score more than six marks in this section.
Section C
Mastery I
Award one mark per question
The candidate may not score more than three marks in this subsection
Mastery II
Award three marks per question
The candidate may not score more than six marks in this subsection
Mastery III
Award a maximum of five marks for this question.
All working must be shown to achieve full marks.
Awarding Points
Award 10 points for the completion of all questions by the candidate.
Award 20 points for the correct completion of all questions by the candidate.
Numbers Unlocked | The Number System | PRM-L5-080623-00002