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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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slide1

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).

slide2

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.

slide3

Answer Trueor Falseto the following:

‘The natural numbers are a subset of the integers’.

TRUE

TRUE

FALSE

slide4

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.

slide5

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.

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

slide10

Page 23

Rational

slide11

Page 23

Rational

slide13

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.

slide15

0.

0.8

1.414213562

2.828427125

3.141592654

-0.4142135624

1-

slide16

Familiar irrationals

Irrational Numbers

Page 23

Rational

Are these the only irrational numbers

based on these numbers?

slide17

Page 23

Rational

slide18

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

Real

Rational

Irrational Numbers

ℝ\ℚ

slide19

Student Activity

Classify all the following numbers as natural, integer, rational, irrational or real using the table below. List all that apply.

slide20

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 -

slide21

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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