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Name _______________________________________ Date __________________ Class __________________
UNIT
1
Numbers
Performance Task
Fifteen members of the math club each wore a T-shirt with a number printed
on the front. The students’ names and their numbers are listed below.
1
2
Farha

2
3
Kate
7
8
5
Greg
111
Lila
5
Cesar
2
Henri
3.14
Mirsada
2.3
Davon
0.75
9
Nikesha
1.5
Abey
Brittany
Eric
3
17
Iris
Jorge
0
Oren
12.6
Using the numbers on their T-shirts as a guide, the students divided
themselves into the three teams below.
The Whole Numbers
Integers Without Wholes
Rationals But No Integers
1. On which team should Iris play? Explain.
________________________________________________________________________________________
2. Which two students have opposite numbers? On which team(s) should
each play?
________________________________________________________________________________________
3. Players are going to stand in line by number from least to greatest. List
the players on Rationals But No Integers from least to greatest.
________________________________________________________________________________________
4. Find the absolute values for all the numbers of the students on the
Rationals But No Integers team, and then list the students from the least
to greatest number. Explain why the list changes from problem 3.
________________________________________________________________________________________
________________________________________________________________________________________
5. If the students from all three teams were combined into one team,
what would it make sense to name that team?
________________________________________________________________________________________
6. Complete the statements.
All ___________________________ are also integers and rational numbers.
All integers are also ___________________________ numbers.
Not all ___________________________ are integers or whole numbers.
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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Name _______________________________________ Date __________________ Class __________________
15. Alexey is correct. Sample explanation:
Suppose the smallest rational number is x.
x
Then
is also a rational number, but is
2
smaller than x. Therefore x cannot be the
smallest rational number, and such a
number does not exist.
4. Farha, Davon, Kate, Nikesha, Mirsada,
Henri, Abey, Oren. The three negative
2
rational numbers ( , 2.3, and 12.6)
3
become positive, which changes the order.
5. The Rational Numbers
6. whole numbers; rational; rational numbers
16. Every integer can be written as a fraction
a
, where a is the integer and b  1.
b
UNIT 2 Number Operations
Unit 1 Test: D
Unit 2 Test: A
1. C
1. C
2. B
2. D
3. A
4. C
3. A
5. C
5. B
6. C
7. A
6. D
7. C
8. C
8. B
9. C
9. B
10. C
10. D
11. A
4. C
11. A
12. No. 4 can be written as
12. B
4
.
1
13.
13. Blaine
14.
4 2
2
3
, ,  , 
5 5
5
5
5
12
14. 9
19
oz or 9.76 oz
25
15. a. 186.55 lb
b. 18.45 lb
15. Two. 3 and 3.
16. 1.25
17. Answers will vary. Sample answer: 0.5
16. Sample answer: 2(4)  1
18. Wednesday
17. 56 pennies
18. 2(4)  14  (5)  1; The team gained
1 yd.
19. 10. 10 is 10 units from zero on the
number line. 3 is three units from zero.
20.
19. $437.96
3
4
20. If the integers have the same sign, the
quotient will be positive. If the integers
have different signs, the quotient will be
negative.
Unit 1 Performance Task
1. Integers Without Wholes; 9 is an integer
but not a whole number because it its
negative.
21. (14)  2(8)  2  28; 28 points
22. a. (45)  (106)  8  143
2. Brittany and Lila; Brittany: Integers
Without Wholes; Lila: Whole Numbers
b. She has to sell 16 candles before she
makes a profit.
3. Oren, Mirsada, Farha, Davon, Kate,
Nikesha, Henri, Abey
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
202