In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 3. (a) ( 3 , − 1 ) (b) ( − 3 , 1 ) (c) ( − 2 , 0 ) (d) ( − 4 , − 3 ) (e) ( 1 , 14 5 )
In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 3. (a) ( 3 , − 1 ) (b) ( − 3 , 1 ) (c) ( − 2 , 0 ) (d) ( − 4 , − 3 ) (e) ( 1 , 14 5 )
In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.
3.
(a)
(
3
,
−
1
)
(b)
(
−
3
,
1
)
(c)
(
−
2
,
0
)
(d)
(
−
4
,
−
3
)
(e)
(
1
,
14
5
)
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
1) Express these large and small numbers from the Read and Study section in scientific
notation:
(a) 239,000 miles
(b) 3,800,000,000,000 sheets of paper
(c) 0.0000000000000000000000167 grams
2) Find all values for the variable x that make these equations true.
(a) 5x = 1
(b) 3x = 1/1
9
(c) 4* = 11/
4
(e) 4* = 64
(g) 10x = 1,000,000
(d) 3x=-3
(f) 2x =
=
8
(h) 10x = 0.001
(b)
4) Find an equation to fit each of the following graphs:
(a)
20
20
18
16
14
12
10
8
6
4
2
24
22
20
18
16
14
12
10
8
16
A
2
-3 -2
-1-0
2
3
4.
-1
0
1
2
3.
-2
-2
3) Which of the following are equivalent to 3? (There may be more than one that is
equivalent!)
-1
(a) (9)¯¹
3.
(b) (-3)-1
(c) (-3)
-1
(d) -(¯3)
(e) 11
3-1
(f) 3-4
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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