A ssessment. Quiz Time …………. The Natural numbers are…. A. The set of all whole numbers , positive, negative and 0. B. The set of all positive whole numbers (excluding 0). B. The set of all positive whole numbers (excluding 0).
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Assessment
Quiz Time…………
TheNatural numbers are…..
A. The set of all whole numbers , positive, negative and 0.
B. The set of all positive whole numbers (excluding 0).
B.The set of all positive whole numbers (excluding 0).
C. The set of all positive whole numbers (including 0).
The Integers are……
A. The set of all whole numbers , positive, negative and 0.
A. The set of all whole numbers , positive, negative and 0.
B.The set of all positive whole numbers only.
C.The set of all negative whole numbers only.
Answer Trueor Falseto the following:
‘The natural numbers are a subset of the integers’.
TRUE
TRUE
FALSE
The Rational numbers are…….
A. Any number of the form , where p, qℤ and q≠0.
A.Any number of the form , where p, qℤ and q≠0.
B.Any number of the form , where p, q ℤ.
C.Any number of the form , where p, q ℕ.
Which number is not a rational number?
A.0.3
B.
Recurring
Decimal
Terminating
Decimal
Terminating
Decimal
Terminating
Decimal
Terminating
Decimal
Decimal expansion that can go on forever without recurring
C. 1
D.
E.0.
..
F.
F.
Consider whether the following statements are True or False?
False
True
False
True
True
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Natural
ℕ
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Integers
ℤ
ℤ\ℕ
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Rational
ℚ
ℚ\ℤ
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Rational
ℚ
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Rational
ℚ
Student Activity 1Calculator Activity
Student Activity 1Calculator Activity
Rational
Terminating
Or
Recurring
0.
Decimal expansion that can go on forever without recurring
0.3
0.8
Irrational
….
1.414213562....
2.828427125….
2.82842712474619009….
1.709975947….
1.70997594667669681….
1.709975947
3.141592654….
3.14159265358979323….
3.141592654….
0.41421356237497912.…
0.4142135624…
A Surd is an irrational number containing a root term.
0.
0.8
1.414213562
2.828427125
3.141592654
0.4142135624
1
Familiar irrationals
Irrational Numbers
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Rational
ℚ
Are these the only irrational numbers
based on these numbers?
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Rational
ℚ
The set of Rational and Irrational numbers together make up the Real number system (ℝ).
Real
ℝ
Rational
ℚ
Irrational Numbers
ℝ\ℚ
Student Activity
Classify all the following numbers as natural, integer, rational, irrational or real using the table below. List all that apply.
The diagram represents the sets: Natural Numbers Integers RationalNumbersReal Numbers ℝ. Insert each of the following numbers in the correct place on the diagram:5, 6. , 2, 3, , 0 and 
ℝ
ℚ
ℤ
ℚ
ℕ
ℕ
The diagram represents the sets: Natural Numbers Integers RationalNumbersReal Numbers ℝ. Insert each of the following numbers in the correct place on the diagram:5, 6., 2 , 3, , 0 and 
ℝ
ℚ
1+
ℤ
ℕ
6.
3
5
0

9.6403915…