Algebra II Workbook - Wayne County Public Schools

LESSON
1.1
NAME _________________________________________________________ DATE ____________
Practice with Examples
For use with pages 3–10
GOAL
Use a number line to graph and order real numbers and identify properties
of and use operations with real numbers
VOCABULARY
The graph of a real number is the point on a real number line that
corresponds to the number. On a number line, the numbers increase from
left to right, and the point labeled 0 is the origin.
The number that corresponds to a point on a number line is the
coordinate of the point.
The opposite, or additive inverse, of any number a is a.
The reciprocal, or multiplicative inverse, of any nonzero number a is 1 a .
Chapter 1
EXAMPLE 1
Graphing and Ordering Real Numbers
Graph and write the numbers in increasing order: 7, 0, 3 2 , 2, 3 8 .
SOLUTION
7 2.6, 3 2 1.5, 3 8 0.4 Rewrite each number in decimal form.
7
3 2 1 0 1 2 3
7, 0, 3 8 , 3 2 , 2
3
8
3
2
Plot the points on the real number line.
Write the numbers from least to greatest.
Exercises for Example 1
Write the numbers in increasing order.
3
1. 1, 1 2. 3. 5, 2 3 , 2
5 , 1, 1
3 , 3.25 4.
4, 1, 1
5. 0, 2 2, 1 3 6. 2 !2, 2 15, 5.7 7. 2 , 2 5, 2 10 8. 3, 2 5, 0
5
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Algebra 2 1
Practice Workbook with Examples