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Transcript
Algebra 1 Notes:
Lesson 2-1
Rational Numbers on the
Number Line
Vocabulary
• Natural Numbers
Vocabulary
• Natural Numbers
• Whole Numbers
{1, 2, 3, …}
Vocabulary
• Natural Numbers
• Whole Numbers
• Integers
{1, 2, 3, …}
{0, 1, 2, 3, …}
Vocabulary
• Natural Numbers
• Whole Numbers
• Integers
{1, 2, 3, …}
{0, 1, 2, 3, …}
{…, -2, -1, 0, 1, 2, …}
Rational Numbers
Anything that CAN be written as a
fraction.
Integers
Fractions
Decimals
Example 1
Name the coordinates of the
points graphed on the number
line.
{-7, 1, 6}
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9
10
Example 2
Name the coordinates of the
points graphed on the number
line.
{8, 9, 10, …}
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9
10
Example 3
Graph the following set of
numbers on a number line:
{integers less than -6 or greater
than or equal to 1}
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9
10
Example 3
Graph the following set of
numbers on a number line.
{integers less than -6 or greater
than or equal to 1}
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9
10
Example 3
Graph the following set of
numbers on a number line.
{integers less than -6 or greater
than or equal to 1}
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9
10
Example 3
Graph the following set of
numbers on a number line.
{integers less than -6 or greater
than or equal to 1}
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9
10
Example 3
Graph the following set of
numbers on a number line.
{integers less than -6 or greater
than or equal to 1}
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9
10
Vocabulary
• Absolute Value
Vocabulary
• Absolute Value
Distance from 0
Example 4
Find each absolute value.
a) |0.25|
0.25
b) |-¾|
¾
Example 5
Evaluate:
|y – 8| + 5
|12 – 8| + 5
if y = 12
Example 5
Evaluate:
|y – 8| + 5
|12 – 8| + 5
|4| + 5
if y = 12
Example 5
Evaluate:
|y – 8| + 5
|12 – 8| + 5
|4| + 5
4+5
if y = 12
Example 5
Evaluate:
|y – 8| + 5
|12 – 8| + 5
|4| + 5
4+5
9
if y = 12
Example 5
Evaluate:
|y – 8| + 5
|12 – 8| + 5
|4| + 5
4+5
9
if y = 12
Try on your own
|2 - x| - 7
x=5
Try on your own
|2 - x| - 7
x=5
Can it be negative???
Assignment
Pg. 71:
18-56 (even)
and 57
