Presentation on theme: "1-6 REAL NUMBERS AND RATIONAL NUMBERS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: COMPARE AND ORDER RATIONAL NUMBERS; EVALUATE EXPRESSIONS WITH RATIONAL NUMBERS."— Presentation transcript:
1-6 REAL NUMBERS AND RATIONAL NUMBERS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: COMPARE AND ORDER RATIONAL NUMBERS; EVALUATE EXPRESSIONS WITH RATIONAL NUMBERS.
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).
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 ( )
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?
COMPARING When you compare two real numbers, only one of these can be true: a b less than equal to greater than
EXAMPLE Rewrite the answer using the symbol for less than