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# A ssessment - PowerPoint PPT Presentation

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.

‘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.

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Natural

Page 23

Integers

ℤ\ℕ

Page 23

Rational

ℚ\ℤ

Page 23

Rational

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Rational

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?

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

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…