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1-6 REAL NUMBERS AND RATIONAL NUMBERS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: COMPARE AND ORDER RATIONAL NUMBERS; EVALUATE EXPRESSIONS WITH RATIONAL NUMBERS.

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WARM UP Evaluate 4n 3 ÷ m for m = - 4, n = 3

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PUT EXAMPLES IN THE VENN DIAGRAM

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DEFINITIONS A rational number is any number you can write in the form of a ratio, like or An irrational number cannot be written as a ratio of two numbers, like or. (Expressed in decimal form it is a decimal that goes on forever with no pattern).

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DEFINITIONS Integers are rational numbers because you can write them as ratios using 1 as the denominator. Rational and irrational numbers make up the set of real numbers ( )

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EXAMPLES (THINK & DISCUSS) 1)Write 3 numbers that are rational numbers but not integers. 2)Show that 0.75 is a rational number by writing it as a ratio. 3)Where have you used irrational numbers?

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COMPARING When you compare two real numbers, only one of these can be true: a b less than equal to greater than

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EXAMPLE Rewrite the answer using the symbol for less than

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EXAMPLE

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Use the expression (5/9)(F – 32) to change from the Fahrenheit scale to the Celsius scale. What is 10 o F in Celsius?

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DEFINITION

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COMPLETE THE CHART NumberReciprocalProduct 3.4 -1/2 What is the product of a number and its reciprocal?

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EXAMPLE Evaluate x/y for x = -3/4 and y = -5/2

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HOMEWORK Pg 32–33 #2–26 even, 30, 35, 37, 41

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