CHAPTER 11 Rational and Irrational Numbers. Rational Numbers 11-1 Properties of Rational Numbers.
Review over rational numbers.
52
Review over rational numbers.
description
Review over rational numbers. Simplify the fraction. Fastest Responders (in seconds). Emilio attends school 180 days out of the 365 days in a year. For what fraction of the year is Emilio in school? Write your answer in simplest form. Fastest Responders (in seconds). - PowerPoint PPT Presentation
Transcript of Review over rational numbers.
Review over rational numbers.
Simplify the fraction
1.
2.
3.
4.
2015
0% 0%0%0%
86
4030
43
2015
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
3.66 Zach 23.92 Brooke 6.79 Damon 27.36 Austin 14.48 Miguel 27.94 Jenna 14.77 Hunter 29.84 Cindy 15.06 Will 30.93 Aravind 16.96 Ryan 33.21 Megan 18.35 Denisha 33.82 Hannah 20.18 Missy 34.13 Nick 21.55 Jordan 21.74 Katie
Emilio attends school 180 days out of the 365 days in a year. For what fraction of the year is Emilio in school? Write your answer in
simplest form.
1.
2.
3.
4.
157
0% 0%0%0%
121
2512
7336
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
30.57 Jenna 35.59 Katie 36.33 Nick 58.54 Hunter 62.2 Missy
Write as improper fraction
1.
2.
3.
4.
1122
0% 0%0%0%
1113
1323
1123
1112
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
0 Participant 1 0 Participant 110 Participant 2 0 Participant 120 Participant 3 0 Participant 130 Participant 4 0 Participant 140 Participant 5 0 Participant 150 Participant 6 0 Participant 160 Participant 7 0 Participant 170 Participant 8 0 Participant 180 Participant 9 0 Participant 190 Participant 10 0 Participant 20
Which fraction is greater than
1.
2.
3.
4.
52
0% 0%0%0%
51
104
101
105
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
0 Participant 1 0 Participant 110 Participant 2 0 Participant 120 Participant 3 0 Participant 130 Participant 4 0 Participant 140 Participant 5 0 Participant 150 Participant 6 0 Participant 160 Participant 7 0 Participant 170 Participant 8 0 Participant 180 Participant 9 0 Participant 190 Participant 10 0 Participant 20
Compare. Use <, >, or =.
0% 0%0%
1. >2. =3. <
54
153
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
3.43 Hunter 11.44 Cindy 4.73 Ryan 12.52 Hannah 5.07 Missy 14.39 Jordan 6.25 Denisha 14.72 Miguel 6.5 Nick 15.84 Brooke 7.14 Aravind 15.89 Damon 7.73 Megan 8.16 Austin 10.52 Casey 11.07 Katie
0% 0%0%
1. =2. <3. >
21
41
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
5.37 Ryan 16.19 Brooke 5.96 Aravind 16.3 Cindy 8.83 Miguel 16.48 Hunter 9.49 Zach 18.39 Casey 10.99 Will 21.23 Hannah 11.32 Damon 11.43 Austin 12.23 Nick 13.43 Megan 14.95 Jordan
Order from least to greatest.
REMEMBER… least to greatest!!
–0.33, 0.25, -1/2, –0.17
1.
2.
3.
4.
0% 0%0%0%
33.0,25.0,21,17.0
25.0,17.0,33.0,21
17.025.0,21,33.0
21,33.0,25.0,17.0
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
5.01 Austin 7.69 Ryan 13.9 Miguel 16.11 Zach 22.78 Megan 24.7 Missy 26.11 Jordan
.
92,
52,
64,
86
0% 0%0%0%
8
6,64,
52,
92
52,
64,
92,
86
92,
86,
64,
52
52,
64,
92,
86
1.
2.
3.
4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
6.06 Ryan 29.04 Brooke 10.9 Nick 31 Denisha 14.89 Missy 18.52 Hunter 20.3 Will 20.99 Casey 24.77 Jenna 27.15 Cindy 27.94 Hannah 28.74 Jordan
Find the sum, answer in simplest form.
.
1.
2.
3.
4.
81
85
0% 0%0%0%
86
43
166
165
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
10.36 Zach 17.4 Miguel 11.47 Denisha 17.81 Megan 12.21 Nick 18.04 Hunter 13.05 Brooke 18.13 Will 13.9 Cindy 18.71 Austin 15.73 Katie 15.85 Jordan 16.02 Ryan 16.4 Missy 16.98 Aravind
.
1.
2.
3.
4.
28
101
0% 0%0%0%
1014
104
128
209
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
0 Participant 1 0 Participant 110 Participant 2 0 Participant 120 Participant 3 0 Participant 130 Participant 4 0 Participant 140 Participant 5 0 Participant 150 Participant 6 0 Participant 160 Participant 7 0 Participant 170 Participant 8 0 Participant 180 Participant 9 0 Participant 190 Participant 10 0 Participant 20
.
1.
2.
3.
4.
325
9116
0% 0%0%0%
6121
4121
9721
9121
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
16.14 Zach 35.67 Casey 17.59 Hunter 36.27 Cindy 19.5 Nick 36.52 Will 21.04 Ryan 37.28 Damon 27.37 Katie 28.95 Jordan 31.12 Megan 31.97 Denisha 32.69 Austin 34.53 Brooke
.
1.
2.
3.
4.
43
83
61
0% 0%0%0%
2471
187
87
831
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
7.58 Denisha 39.05 Jordan 15.38 Hunter 44.98 Austin 18.03 Missy 53.34 Casey 19.91 Will 20.13 Zach 31.13 Katie 34.68 Ryan 36.43 Cindy 36.98 Miguel 37.37 Nick
Find the difference, answer in simplest form.
Participant Scores
902 Ryan 602 Brooke 802 Jordan 602 Cindy 801 Missy 502 Megan 702 Hunter 502 Casey 702 Austin 502 Miguel 701 Katie 402 Aravind 701 Will 402 Hannah 701 Zach 400 Jenna 701 Denisha 202 Damon 602 Nick
.
1.
2.
3.
4.
124
126
0% 0%0%0%
61
65
721
122
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
3.2 Aravind 29.99 Zach 5.13 Denisha 31.3 Jordan 5.55 Ryan 31.76 Hunter 6.42 Missy 33.48 Austin 8.22 Nick 34.21 Jenna 12.5 Katie 35.33 Miguel 18.32 Casey 23.36 Hannah 26.44 Will 28.01 Brooke
.
1.
2.
3.
4.
4531
0% 0%0%0%
457
45221
431
51
98
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
10.53 Hunter 36.12 Brooke 10.81 Aravind 36.26 Will 13.25 Austin 14.94 Denisha 18.86 Megan 19.21 Katie 21.91 Jenna 22.16 Jordan 25.8 Cindy 34.63 Hannah
.
1.
2.
3.
4.
844
819
0% 0%0%0%
16134
8512
814
854
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
4.41 Miguel 45.15 Casey 17.5 Denisha 46.02 Hannah 20.74 Aravind 46.9 Zach 31.51 Ryan 32.51 Austin 32.68 Katie 38.41 Damon 41.52 Jenna 42.87 Jordan 44.31 Brooke
Participant Scores
1102 Ryan 702 Aravind 1102 Jordan 702 Hannah 1002 Austin 702 Nick 1001 Katie 702 Casey 1001 Denisha 702 Miguel 902 Hunter 702 Cindy 902 Brooke 700 Jenna 901 Missy 602 Megan 901 Will 302 Damon 901 Zach
Find the product, answer in simplest form.
.
1.
2.
3.
4.
843 of
0% 0%0%0%
24
438
2
6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
5.16 Aravind 36.06 Brooke 6.75 Missy 36.33 Casey 8.37 Hunter 9.36 Nick 9.56 Will 15.92 Ryan 31.39 Miguel 31.7 Zach 35.62 Hannah 35.76 Cindy
.
1.
2.
3.
4.
211
415
0% 0%0%0%
451
877
863
851
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
19.34 Nick 24.67 Miguel 31.56 Damon 46.86 Jordan
Find the quotient, answer in simplest form.
.
1.
2.
3.
4.
1372
0% 0%0%0%
3313
3911
11
31
311
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
7.78 Denisha 23.53 Cindy 7.97 Aravind 24.42 Austin 9.8 Nick 27.55 Casey 11.59 Miguel 30.12 Brooke 15.45 Katie 15.53 Missy 16.84 Jenna 20.42 Hannah 21.78 Hunter 23.05 Zach
.
1.
2.
3.
4.
1341
0% 0%0%0%
521
52
413
134
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
6.7 Aravind 32.81 Cindy 15.31 Damon 34.56 Brooke 16.66 Denisha 22.66 Jenna 22.73 Zach 25.76 Austin 27.69 Casey 28.58 Hannah 31.01 Megan 31.76 Katie
Final questionUse your knowledge about rational numbers to answer the following
application problems.
0% 0%0%0%
Peter measured the width of one cardboard strip as ft.
A second cardboard strip measured ft in width. Estimate
the combined width of the cardboard strips.
1. 5 ft2. 7 ft3. 6 ft4. 12 ft
432
323
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32
Fastest Responders (in seconds)
16.42 Jordan 17.36 Ryan 27.4 Megan 28.5 Damon 33.18 Will 40.18 Cindy 42.53 Austin 45.03 Brooke 48.76 Casey
Participant Scores
1203 Ryan 1003 Cindy 1203 Austin 1002 Aravind 1203 Jordan 1002 Hannah 1203 Brooke 1002 Will 1201 Katie 1002 Nick 1201 Zach 1002 Miguel 1201 Denisha 900 Jenna 1102 Hunter 703 Megan 1101 Missy 503 Damon 1003 Casey
