| Algebra 1 Notes
Chapter Two
Section 2.1
Section 2.2
Section 2.3
Section 2.4
Section 2.5
Section 2.6
Section 2.7
Section 2.8
Section 2.9
Section 2.10
|
|
Back to Mrs. Leary's Math Web Page or
Back to Algebra Contents
Section
2.3 : Addition of Rational Numbers
Vocabulary
Rules for Adding Real Numbers
| To add two real numbers with the
same sign:
1. Add their absolute values.
2. Determine the sign of the sum:
| a. If both numbers are
positive, then the sum is positive.
b. If both signs are negative, then
the sum is negative.
|
|
| To add two real numbers with
unlike signs, if the numbers are not opposites
1. Subtract their absolute values, the
smaller from the larger.
2. The sign of the sum will be the same as
the sign of the number with the greater absolute value.
|
Definition: Two rational numbers
whose sum is 0 are called additive Inverses
of each other.
Properties
| Identity Property for Addition
For all real numbers a, a + 0 =
a and 0 + a = a
|
| Additive Inverse Property
For each real number a, there is exactly one real
number -a such that
| a + (-a) = 0 and -a + a
= 0 |
|
| Inverse of the Inverse
The inverse of the inverse of a rational number
is the number itself.
-(-n) = n |
Take class notes.
Before starting your homework, rework the
examples that are illustrated in this section of your textbook and the
examples that I demonstrated in class.
Then do your homework.
Write down questions (examples or concept
that you do not understand).......then.............. Ask these questions
in class.
|