Name:________________________________________________________________Teacher: Ms. Kerr
Unit 3: Rational Numbers
Lesson 1 SECTION 3.1
Defining Rational Numbers
RECALL
●A rational number is any number that can be written as a ________________ (with the
denominator not equal to zero).
 Furthermore, a rational number can also be expressed as a ________________ or a
_________________ decimal.
More formally now:
● A real number _____ is rational if _______=____________, with a and b both being
____________________, and b ≠ _______.
WARM-UP: Individually, or in partners brainstorm and write down in the box below, 10
rational numbers and 10 irrational numbers.
Reminder!!!
All integers are rational because they all can be written as a
fraction with a denominator of ________________.
Examples:
a) 7 =
b) -8 =
Converting Fractions to Decimals
Examples
1
=
4
9
=
13
PRACTICE:
2
=
5
11
=
20
3
=
7
c) 456 =
2
1
3
3
Given a number line, locate the following numbers:−4, 5, − , 0.33, 2 , −5.2
● Larger numbers exist to the __________________of the smaller numbers on the number line.
● To make a comparative statement about two numbers, we use __________________ symbols:
, when read from Left to Right, means “LESS THAN”
, when read from Right to Left means “GREATER THAN”
Examples:
a) −2 < 4 𝑟𝑒𝑎𝑑𝑠
b) −5 > −10 𝑟𝑒𝑎𝑑𝑠
***NOTE:
● If a real number ____ is POSITIVE, then _____________________.
● If a real number ____ is NEGATIVE, then ____________________.
PRACTICE:
a) 4 _____8
b) 3 _____ − 4
c) −2 _____5
d) −4 _____ − 7
Methods for Comparing Rational Numbers
Method 1:
- Give each fraction a ___________
______________________ and
Method 2:
- Change each fraction to a
________________, then
compare.
Then compare the numerators.
PRACTICE:
3
4
a) (7) ______ (9)
1
b) −4.8 ______ (3 )
4
19
c) ( 6 ) ______ − 3.16
2
d) − (7) ______ − 0.375
PRACTICE PROBLEMS: Section 3.1 Questions 1-9 right side, 10 and 11