social pharmacy d-pharm 1st year by Pragati K. Mahajan
7.1 Introduction to real numbers
1. Identifying Different Types of Numbers
GUIDED EXAMPLE 1 Classify each number as an integer, a rational
number, an irrational number, and/or a real number.
REAL NUMBER
TYPES
a. Integer, rational number, real number
b.
c.
d.
e.
f.
g.
Irrational number, real number
Rational number, real number
Rational number, real number
Irrational number, real number
Rational number, real number
Integer, rational number, real number
2. Real Numbers on a Number Line
GUIDED EXAMPLE 2 Plot each number on a number line.
REAL NUMBER NUMBER LINE
a.
b.
c.
d.
e.
3. Real Numbers on a Number Line
GUIDED EXAMPLE 3 Plot each number on a number line.
REAL NUMBER
a.
NUMBER LINE
b.
c.
d.
e.
4. Using Real Numbers in Real Life Situations
GUIDED EXAMPLE 4 Use a real number to represent each real life
situation.
SITUATION
a.
A population growth of 1279.
REAL NUMBER
b. An oil drilling platform extends 325 feet
below sea level.
c. Water boils at 100° C.
d. A child digs a hole 3 feet deep in beach sand.
e. There is a wind chill factor of minus 10° F.
f. A hiker climbs a mountain that is 2023 feet high.
5. Study Guide
Whole numbers are the numbers 0, 1, 2, 3, 4, ….
Integers are whole numbers and their negatives.
…, –3, –2, –1, 0, 1, 2, …
Rational numbers are numbers that can be
written as a fraction of two integers, such as
When written in decimal
form, rational numbers are either terminating or
repeating.
Irrational numbers are numbers that cannot be
expressed as a fraction of two integers, such as
Irrational numbers are
non-terminating, non-repeating decimals.
6. Study Guide
Definition: REAL NUMBERS
Real numbers are all the rational numbers and all the irrational numbers.
Any real number can be plotted on a number line.
7. Study Guide
Definition: REAL NUMBERS
Real numbers are all the rational numbers and all the irrational numbers.
Any real number can be plotted on a number line.
