Study Guide and Intervention (continued) - MathnMind

2-1
NAME ______________________________________________ DATE ____________ PERIOD _____
Study Guide and Intervention
Rational Numbers on the Number Line
Graph Rational Numbers The figure at the right is
part of a number line. A number line can be used to show
the sets of natural numbers, whole numbers, and
integers. Positive numbers, are located to the right of 0,
and negative numbers are located to the left of 0.
Another set of numbers that you can display on a number
line is the set of rational numbers. A rational number can
a
be written as , where a and b are integers and b 0. Some
b
1 3 7 12
examples of rational numbers are , , , and . 4 5 8 3
3 2 1 0 1 2 3 4 5
The dots indicate each point on the graph.
The coordinates are {3, 1, 1, 3, 5}
b.
1 1.5 2 2.5 3 3.5 4 4.5 5
The bold arrow to the right means the graph
continues indefinitely in that direction. The
coordinates are {2, 2.5, 3, 3.5, 4, 4.5, 5, …}.
Natural Numbers
4 3 2 1 0 1 2 3
Negative Numbers
Integers
Whole Numbers
Positive Numbers
Example 1 Name the coordinates of the Example 2
Graph each set of
points graphed on each number line.
numbers.
a.
a. {…, 3, 2, 1, 0, 1, 2}
Exercises
4 3 2 1 0 1 2 3 4
b. ,0, , 1 1 2
1 –
3
2 –
3
Name the coordinates of the points graphed on each number line.
1. 2.
2 1 0 1 2 3 4 5 6
3. 4.
1 –
4
1 –
2
0
1
–
4
Graph each set of numbers.
1
–
2
3
–
4
5. {3, 1, 1, 3} 6. {5, 2, 1, 2} 7. {integers less than 0}
4 3 2 1 0 1 2 3 4
1 1 1 1
8. {…, 2, 1, 0, 1} 9. 2 , 1 , , 10. {…, 4, 2, 0, 2, …}
2 2 2 2
4 3 2 1 0 1 2 3 4
1
5
–
4
3
–
2
5 4 3 2 1 0 1 2 3
2 1 3 – 21 2
1 – 1 2 1 – 0 2
© Glencoe/McGraw-Hill 75 Glencoe Algebra 1
1
–
2
1
3
3
0
1
–
3
3
2
–
3
1 0 1 2 3 4 5 6 7
4 3 2 1 0 1 2 3 4
1
4
–
3
5
–
3
4 3 2 1 0 1 2 3 4
6 5 4 3 2 1 0 1 2
2
4
Lesson 2-1