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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


Venn diagram number line and
Venn Diagram & Number Line ℕ,ℤ and ℚ.

Page 23

Natural


Venn diagram number line and1
Venn Diagram & Number Line ℕ,ℤ and ℚ.

Page 23

Integers

ℤ\ℕ


Venn diagram number line and2
Venn Diagram & Number Line ℕ,ℤ and ℚ.

Page 23

Rational

ℚ\ℤ


Page 23

Rational


Page 23

Rational


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…


What is a surd
What is a Surd?

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

Page 23

Rational

Are these the only irrational numbers

based on these numbers?


Page 23

Rational


The set of Rational and Irrational numbers together make up the Real number system (ℝ).

Real

Rational

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 -


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 -

1+

6.

-3

5

0

-

-9.6403915…


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