This document provides notes on rational numbers from a math class. It includes definitions of rational numbers as fractions that can be written as a ratio of two integers. It discusses how to write and graph rational numbers, including negative rational numbers, on a number line. It also covers how to simplify fractions by first simplifying the numerator and denominator before combining them into the final simplified fraction. Students are assigned homework problems working with rational numbers.

1. 4.6 rational numbers
October 22, 2013
Write in simplest form.
2
10
14
21
6
8
Bellwork
Objective: identify and graph rational numbers, evaluate fractions containing variables.
Nov 24­6:49 PM
HW pg. 199 #15­30
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2. 4.6 rational numbers
October 22, 2013
Rational numbers ­ can be written as a fraction.
A negative rational number can be written:
7
9
­
­7
9
7
­9
Nov 24­6:57 PM
HW pg. 199 #15­30
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3. 4.6 rational numbers
October 22, 2013
Write three fractions equivalent to 1/2
Write three fractions equivalent to ­4/5
Nov 24­6:59 PM
HW pg. 199 #15­30
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4. 4.6 rational numbers
October 22, 2013
Graph each rational number on a number line.
a. 1/2
­1
b. ­8/10
c. 1
0
d. ­0.2
1
Nov 24­7:00 PM
HW pg. 199 #15­30
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5. 4.6 rational numbers
October 22, 2013
A Fraction is a grouping symbol ­ just like parentheses.
First you must simplify the numerator and simplify the denominator.
Then simplify the fraction.
Example:
Simplify the numerator 1 + 9 + 2 12
Simplify the denominator 2 ­ 5
­3 = ­4
=
Nov 24­7:03 PM
HW pg. 199 #15­30
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6. 4.6 rational numbers
October 22, 2013
Evaluate for a = 6 and b = ­5. Write in simplest form.
a + b
­3
7 ­ b
3a
a + 9
b
Nov 24­7:08 PM
HW pg. 199 #15­30
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7. 4.6 rational numbers
October 22, 2013
HW pg. 199 #15­30
Nov 24­7:10 PM
HW pg. 199 #15­30
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