1-6 real numbers and rational numbers miss battaglia – algebra 1 cp objective: compare and order...
TRANSCRIPT
1-6 R
EAL NUMBERS A
ND
RATIO
NAL NUMBERS
MI S
S
BA
T T AG
L I A –
AL G
EB
RA
1 C
P
OB
J EC
TI V
E:
CO
MP A
RE
AN
D O
RD
ER
RA
TI O
NA
L
NU
MB
ER
S;
EV
AL U
AT
E E
XP
RE
SS
I ON
S W
I TH
RA
TI O
NA
L NU
MB
ER
S.
WARM UP
Evaluate 4n3 ÷ m for m = - 4, n = 3
PUT EXAMPLES IN THE VENN DIAGRAM
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 < bor a = b or a > b less than equal to
greater than
EXAMPLE
Use a number line to compare and
Rewrite the answer
using the symbol for less than
EXAMPLE
Evaluate a + 2b where a = and b =
EXAMPLE
Use the expression (5/9)(F – 32) to change from the Fahrenheit scale to the Celsius scale. What is 10o F in Celsius?
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?
COMPLETE THE CHART
Number Reciprocal Product
3
.4
-1/2
What is the product of a number and its reciprocal?
EXAMPLE
Evaluate x/y for x = -3/4 and y = -5/2
𝑥𝑦
=𝑥÷ 𝑦
HOMEWORK
Pg 32–33 #2–26 even, 30, 35, 37, 41