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Pre-Algebra
Rational Numbers
4-6
Obj:
1.
2.
OBJECTIVE
Identifying and Graphing Rational Numbers
1
A
two integers, where b is not
among rational numbers.
is any number you can write as a quotient
of
. The diagram below shows relationships
Rational Numbers
Here are three ways you can write a negative rational number.
For each rational number, there is an unlimited number of equivalent fractions.
EXAMPLE 1
Writing Equivalent Fractions
Write two lists of fractions equivalent to each fraction.
1.
1
2
2.
1
3
4
3. - 5
1
4. - 2
EXAMPLE 2
Graphing a Real Number
Graph each rational number on a number line.
1. ½
2. -8/10
3. 1
4. -0.2
Graph each rational number on a number line.
5. -1/2
6. -4/10
7. -2
8. 0.9
Graph each rational number on a number line.
9. -3/4
10. 0.5
11. 0
12. 1/3
OBJECTIVE
2
Evaluating Fractions Containing Variables
Recall that a fraction bar is a grouping symbol, so you first simplify the numerator and the
denominator. Then, simplify the fractions.
EXAMPLE 3
Evaluating Fractions Containing Variables
Evaluate. Write in simplest form.
1.
a=
f–i
t
for f = 102, i = 37, and t = 5
Evaluate for a = 6 and b = -5. Write in simplest form.
2.
a+b
-3
3.
7–b
3a
4. a + 9
b
Pre-Algebra Objectives 4-6
The student should be able…..
1. To identify and graph rational numbers.
2. To evaluate fractions containing variables.