1-6 real numbers and rational numbers miss battaglia – algebra 1 cp objective: compare and order...
TRANSCRIPT
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1-6 R
EAL NUMBERS A
ND
RATIO
NAL NUMBERS
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S.
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WARM UP
Evaluate 4n3 ÷ 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 < bor a = b or a > b less than equal to
greater than
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EXAMPLE
Use a number line to compare and
Rewrite the answer
using the symbol for less than
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EXAMPLE
Evaluate a + 2b where a = and b =
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EXAMPLE
Use the expression (5/9)(F – 32) to change from the Fahrenheit scale to the Celsius scale. What is 10o F in Celsius?
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DEFINITION
The reciprocal, or multiplicative inverse, of a rational number is .
Zero does not have a reciprocal because division by zero is undefined.
Ex: What is the reciprocal of ? What is the reciprocal of 3?
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COMPLETE THE CHART
Number Reciprocal Product
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
𝑥𝑦
=𝑥÷ 𝑦
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HOMEWORK
Pg 32–33 #2–26 even, 30, 35, 37, 41