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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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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.

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FALSE TRUE Answer True or False to the following: ‘The natural numbers are a subset of the integers’. TRUE

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The Rational numbers are…….

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Which number is not a rational number? A. 0.3 Terminating Decimal Terminating Decimal Recurring Decimal Terminating Decimal Terminating Decimal Decimal expansion that can go on forever without recurring

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Consider whether the following statements are True or False? StatementTrue 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 False True

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Natural ℕ Venn Diagram & Number Line Venn Diagram & Number Line ℕ, ℤ and ℚ. Page 23

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Integers ℤ Venn Diagram & Number Line Venn Diagram & Number Line ℕ, ℤ and ℚ. ℤ\ℕ

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Rational ℚ Venn Diagram & Number Line Venn Diagram & Number Line ℕ, ℤ and ℚ. ℚ \ℤ Page 23

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Rational ℚ

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Page 23 Rational ℚ

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NumberCalculator/ Decimals (1) (2) (3) (4) (5) (6) (7) (8) (9) Student Activity 1 Calculator Activity

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NumberCalculator/ Decimals (1)2 (2) (3) (4) (5) (6) (7) (8) (9) 3.141592654…. 1.414213562.... 2.828427125….2.82842712474619009…. 3.14159265358979323…. -0.4142135624… -0.41421356237497912.… Terminating Or Recurring 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….

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What is a Surd? A Surd is an irrational number containing a root term.

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Number Calculator/ Decimals IrrationalSurd 2 0.3 1.709975947 3.141592654 1.414213562 2.828427125 -0.4142135624

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Rational ℚ Irrational Numbers Are these the only irrational numbers based on these numbers? Familiar irrationals Page 23

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Rational ℚ

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

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Natural ℕ Integer ℤ Rational ℚ Irrational ℝ\ℚ Real ℝ 5 22 -3 0 Student Activity Classify all the following numbers as natural, integer, rational, irrational or real using the table below. List all that apply.

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ℕ ℚ ℝ ℚ ℕ ℤ

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ℝ ℚ ℕ -3 0 5 -9.6403915… ℤ

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Objectives Evaluate expressions containing square roots.

Objectives Evaluate expressions containing square roots.

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