Rounding Fractions

1
Rounding Fractions

• Approximating the location of fractions on the
  number line relative to 0, ½ , and 1

2
Consider a simple number line labeled with the
points 0, ½ , and 1.
0 ½ 1
3
Lets list some fractions that are equal to ½ .
0 ½ 1
4
0 ½ 1
5
0 ½ 1
6
0 ½ 1
7
Now lets consider some fractions that are
slightly more than ½.
0 ½ 1
8
0 ½ 1
9
0 ½ 1
10
0 ½ 1
11
Now lets consider some fractions that are
slightly less than ½.
0 ½ 1
12
0 ½ 1
13
0 ½ 1
14
0 ½ 1
15
Lets make some general statements about what we
have seen so far.
16
Lets make some general statements about what we
have seen so far.
If the numerator is exactly half the size of the
denominator, then the fraction equals 1/2 .
Example
17
Lets make some general statements about what we
have seen so far.
If the numerator is slightly more than half the
size of the denominator, then the fraction is a
little more than 1/2. Example

18
Lets make some general statements about what we
have seen so far.
If the numerator is slightly less than half the
size of the denominator, then the fraction is a
little less than 1/2. Example

19
Now lets consider some numbers that are exactly
1.
0 ½ 1
20
0 ½ 1
21
0 ½ 1
22
0 ½ 1
23
Now lets list some fractions that are just a
little less than 1.
0 ½ 1
24
0 ½ 1
25
0 ½ 1
26
0 ½ 1
27
Lets make some general statements about these
concepts.
If the numerator is exactly the same as the
denominator, then the number is exactly 1.
Example
28
Lets make some general statements about these
concepts.
If the numerator is a little less than the
denominator, then the number is a little less
than 1. Example
29
Now lets consider some numbers that are exactly
0.
0 ½ 1
30
0 ½ 1
31
0 ½ 1
32
0 ½ 1
33
Now lets consider some numbers that are a little
more than 0.
0 ½ 1
34
0 ½ 1
35
0 ½ 1
36
0 ½ 1
37
Lets make some general statements about these
concepts.
If the numerator is zero, then the number is
exactly 0. Example
38
Lets make some general statements about these
concepts.
If the numerator is much smaller than the
denominator, then the number is a little more
than 0. Example
39
Practice Time
40
1) Describe the approximate location of 9/16
relative to 0, ½ , or 1.
0 ½ 1
41
1) Describe the approximate location of 9/16
relative to 0, ½ , or 1.
0 ½ 1
A little more than ½
42
2) Describe the approximate location of 1/25
relative to 0, ½ , or 1.
0 ½ 1
43
2) Describe the approximate location of 1/25
relative to 0, ½ , or 1.
0 ½ 1
A little more than 0
44
3) Describe the approximate location of 24/50
relative to 0, ½ , or 1.
0 ½ 1
45
3) Describe the approximate location of 24/50
relative to 0, ½ , or 1.
0 ½ 1
A little less than ½
46
4) Describe the approximate location of 15/16
relative to 0, ½ , or 1.
0 ½ 1
47
4) Describe the approximate location of 15/16
relative to 0, ½ , or 1.
0 ½ 1
A little less than 1
48
5) Estimate the sum of
49
5) Estimate the sum of
50
5) Estimate the sum of
1 5 3 ½
51
5) Estimate the sum of
1 5 3 ½ 9 ½
52
6) Estimate the sum of
53
6) Estimate the sum of
54
6) Estimate the sum of
½ 10 ½ 3
55
6) Estimate the sum of
½ 10 ½ 3 14
56
7) Estimate the sum of
57
7) Estimate the sum of
58
7) Estimate the sum of
5 8 5 ½
59
7) Estimate the sum of
5 8 5 ½ 18 ½
60
8) Estimate the difference between
61
8) Estimate the difference between
62
8) Estimate the difference between
11 - 8 ½
63
8) Estimate the difference between
11 - 8 ½ 2 ½
64
9) Estimate the difference between
65
9) Estimate the difference between
66
9) Estimate the difference between
14 ½ - 6
67
9) Estimate the difference between
14 ½ - 6 8 ½
68
10) Estimate the value of
69
10) Estimate the value of
70
10) Estimate the value of
11 - 4 ½ 5 ½
71
10) Estimate the value of
11 - 4 ½ 5 ½
6 ½ 5 ½
72
10) Estimate the value of
11 - 4 ½ 5 ½
6 ½ 5 ½ 12
73
The End.