Assessment A. The set of all whole numbers, positive, negative and 0. B. The set of all positive...
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Assessment A. The set of all whole numbers , positive, negative and 0 B. The set of all positive whole numbers (excluding 0). C. The set of all positive whole numbers (including 0). Quiz Time ………… The Natural numbers are….. B. The set of all positive whole numbers (excluding 0).
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Transcript of Assessment A. The set of all whole numbers, positive, negative and 0. B. The set of all positive...
Assessment
A. The set of all whole numbers , positive, negative and 0.
B. The set of all positive whole numbers (excluding 0).
C. The set of all positive whole numbers (including 0).
Quiz Time…………The Natural numbers are…..
B. The set of all positive whole numbers (excluding 0).
The Integers are……
B. The set of all positive whole numbers only.
A. The set of all whole numbers , positive, negative and 0.
C. The set of all negative whole numbers only.
A. The set of all whole numbers , positive, negative and 0.
FALSE
TRUE
Answer True or False to the following:
‘The natural numbers are a subset of the integers’.
TRUE
The Rational numbers are…….
A. Any number of the form , where p, q ℤ and q≠0.
B. Any number of the form , where p, q ℤ .
A. Any number of the form , where p, q ℤ and q≠0.
C. Any number of the form , where p, q ℕ .
Which number is not a rational number?
B.
A. 0.3
E. 0.
D.
F.
C. -1
..
TerminatingDecimalTerminatingDecimal
RecurringDecimalF.
TerminatingDecimalTerminatingDecimal
Decimal expansion that can go on forever without recurring
Consider whether the following statements are True or False?
Statement True or False
Every integer is a natural number
Every natural number is a rational number
Every rational number is an integer
Every integer is a rational number
Every natural number is an integer
False
True
True
False
True
Natural ℕ
Venn Diagram & Number Line ℕ, ℤ and .ℚ
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Integers ℤ
Venn Diagram & Number Line ℕ, ℤ and .ℚ
ℤ\ℕ
Rationalℚ
Venn Diagram & Number Line ℕ, ℤ and .ℚ
ℚ\ℤ
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Rationalℚ
𝟑𝟐
𝟓𝟐
𝟒𝟐
𝟔𝟐
𝟐𝟐
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Rationalℚ
𝟔𝟒
𝟏𝟎𝟒
𝟖𝟒
𝟏𝟐𝟒
𝟒𝟒
𝟕𝟒
𝟏𝟏𝟒
𝟗𝟒
𝟓𝟒
Number Calculator/ Decimals(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9) 1-
Student Activity 1 Calculator Activity
1.709975947
Number Calculator/ Decimals(1) 2
(2)
(3)
(4)
(5)
(6) 2
(7)
(8)
(9) 1- 1-
0.
0.8
3.141592654….
1.414213562....
2.828427125….
….
2.82842712474619009….
3.14159265358979323….
-0.4142135624…-0.41421356237497912.…
TerminatingOrRecurring
1.7099759471.709975947….1.70997594667669681….
Decimal expansion that can go on forever without recurring
Rational
Irrational
0.3
Student Activity 1 Calculator Activity
3.141592654….
What is a Surd?
A Surd is an irrational number containing a root term.
NumberCalculator/
DecimalsIrrational Surd
2
0.3
2
1.709975947
1 -
0.
0.8
3.141592654
1.414213562
2.828427125
1--0.4142135624
Rationalℚ
Irrational Numbers
√2√3 𝑒 𝜋√5√7
Are these the only irrational numbersbased on these numbers?
Familiar irrationals
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Rationalℚ
√2√3 𝑒 𝜋√5√7
√𝟐𝟐
√𝟑𝟐
𝒆𝟐
𝝅𝟐
√𝟓𝟐
√𝟕𝟐
Real ℝ Rational
ℚ Irrational Numbers
ℝ\ℚ
−√𝟏𝟏
√𝟖
𝝅 𝟏−√𝟐
√𝟑+√𝟓
The set of Rational and Irrational numbers together make up the Real number system (ℝ).
Naturalℕ Integerℤ Rationalℚ Irrationalℝ\ℚ Realℝ5
6.
2
-3
0
-
Student ActivityClassify 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 Rational NumbersReal Numbers . ℝ
Insert each of the following numbers in the correct place on the diagram:
5 , 6. , 2, -3, , 0 and -
ℕ ℚ
ℝ
ℚ
ℕ ℤ
The diagram represents the sets: Natural Numbers Integers Rational NumbersReal Numbers . ℝ
Insert each of the following numbers in the correct place on the diagram:
5 , 6., 2 , -3, , 0 and -
ℝ
ℚ ℕ
-3
𝟐𝝅 −𝟏𝟐
1+6.
05
-9.6403915…-
ℤ𝟑√𝟖
