Download 11 6 Real Numbers and Number Lines

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Using Your Ruler
Using Your Ruler
•Measure
Lengththe
of the
blue calculator
following
objects(in
in inches)
your bags ____________
your group
•with
Diameter
of themembers.
fraction circle (in inches)
____________
• Length of the screw (in centimeters)
____________
• Width of the cube (in centimeters)
____________
• Length of the pencil (in inches)
____________
• Length of the marker (in inches)
____________
• Diameter of the nickel (in centimeters)
____________
• Length of the toothpick (in centimeters)
____________
• Length of the clear plastic tab (cm)
____________
• Width of the clear plastic tab (cm)
____________
Using Your Ruler
1. Length of the blue calculator (in inches)
2. Diameter of the fraction circle (in inches)
3. Length of the screw (in centimeters)
4. Width of the cube (in centimeters)
5. Length of the pencil (in inches)
6. Length of the marker (in inches)
7. Diameter of the nickel (in centimeters)
8. Length of the toothpick (in centimeters)
9. Length of the clear plastic tab (cm)
10. Width of the clear plastic tab (cm)
____________
____________
____________
____________
____________
____________
____________
____________
____________
____________
Real Numbers and Number Lines
The number that corresponds to a point on a number line is called the
coordinate of the point.
_________
On the number line below, 10
__ is the coordinate of point A.
The coordinate of point B is __
-4
origin
Point C has coordinate 0 and is called the _____.
-6
-5
-4
A
C
B
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
x
11
You can also use number lines to find the distance
between points, just like a ruler.
Look at the coordinate points below. What is the distance of segment DE?
What is the distance of segment EF?
What is the distance of segment DF?
D
-6
-5
-4
-3
F
E
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
x
Real Numbers and Number Lines
The distance between two points A and B on a number line is found by
using the Distance Postulate.
Postulate:
Distance
Postulate
Points on a line are paired with real numbers, and the measure of
the distance between two points is the positive difference of the
corresponding numbers.
A
B
b
measure = a – b
a
Real Numbers and Number Lines
B
-6
-5
-4
-3
-2
-1
0
1
2
A
x
3
4
5
6
7
8
9
10
11
1
2
3
4
5
6
7
8
9
AB  10  2
BA  2  10
8
 8
8
8
10
What is the distance of segment XY on the line below?
X
Y
220
380
220 – 380 = -160
Absolute Value of -160 = 160
Calculate by subtracting and then taking the absolute value.
M
N
O
Real Numbers and Number Lines
Traveling on I-70, the Manhattan exit is at mile marker 313.
The Hays exit is mile marker 154.
What is the distance between these two towns?
MH  313 154
 159
 159 miles
http://www.michigan.gov/mdot/0,4616,7-151-9622_11033_11151-65571--,00.html