Adding Integers - Scarsdale Public Schools

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Name
LESSON
Date
Class
Practice C
9-4 Adding Integers
Find each sum.
1. 19 ! ("11)
2. "24 ! 5
3. "7 ! ("18)
4. "6 ! ("23)
5. 105 ! ("9)
6. 5 ! ("25) ! ("8)
7. 7 ! ("14) ! 9
8. 13 ! ("17)
9. 6 ! ("4) ! ("1)
Evaluate n ! (–12) for each value of n.
10. n # 8
11. n # 15
12. n # "25
13. n # 0
14. n # 5
15. n # 38
16. n # "100
17. n # "46
18. n # 51
Evaluate each expression for the given value.
19. x ! ("8), x # 10
20. w ! (–17), w # 21
21. z ! 7, z # "15
22. "23 ! p, p # "3
23. "9 ! m, m # 7
24. n ! 13, n # "40
25. y ! ("2), y # "16
26. v ! 11, v # "5
27. c ! ("19), c # 100
28. The sum of x and y is a negative
integer. If y is a negative integer
greater than x, what do you know
about x ?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
29. The sum of a negative number, q,
and a positive integer, n, is negative.
What do you know about q and n?
39
Holt Middle School Math Course 1
Practice C
9-4 Adding Integers
Practice B
9-4 Adding Integers
LESSON
LESSON
Find each sum.
Write the addition modeled on each number line.
1.
+ ("2)
3
3 ! ("2)
"5 "4 "3 "2 "1
2.
+ ("1)
0
1
2
3
4
5
0
1
2
3
4
5
+6
"5
0
1
2
3
10. 12 ! ("3)
"1
5. "3 ! 2
6. "8 ! ("4)
6. 5 ! ("25) ! ("8)
"28
8. 13 ! ("17)
"4
9. 6 ! ("4) ! ("1)
1
11. n # 15
13. n # 0
"12
14. n # 5
"112
3
"37
12. n # "25
"7
17. n # "46
"58
8. 9 ! ("6)
3
9. "10 ! 5
9
11. 0 ! ("7)
"7
12. 17 ! ("9)
"4
20. w ! (–17), w # 21
2
"3
1
16. n # "3
5. 105 ! ("9)
"4
19. x ! ("8), x # 10
"12
"5
15. n # 38
26
18. n # 51
39
8
"5
15. n # 5
4
17. n # 1
0
18. n # 0
"1
19. When Calvin played golf today, he
scored a !1 on the first hole, a "2 on
the second hole, a "1 on the third, and
a !4 on the fourth. What was Calvin’s
total score for the first four holes?
"26
!2 or 2
"2
"27
38
27. c ! ("19), c # 100
6
81
28. The sum of x and y is a negative
integer. If y is a negative integer
greater than x, what do you know
about x ?
29. The sum of a negative number, q,
and a positive integer, n, is negative.
What do you know about q and n?
It is a negative integer less
The absolute value of q is
than y.
greater than the absolute value
7$F
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
24. n ! 13, n # "40
26. v ! 11, v # "5
"18
20. The average temperature for
February was 4$F below zero. By
March, the average temperature had
increased 11 degrees. What was the
average temperature in March?
"8
23. "9 ! m, m # 7
25. y ! ("2), y # "16
14. n # "4
21. z ! 7, z # "15
4
22. "23 ! p, p # "3
Evaluate n ! ("1) for each value of n.
13. n # 2
"25
Evaluate each expression for the given value.
4
7. "2 ! ("1)
3. "7 ! ("18)
5
4
Find each sum.
4. 5 ! ("1)
2
"19
96
10. n # 8
16. n # "100
"5 ! 6
"5 "4 "3 "2 "1
4. "6 ! ("23)
2. "24 ! 5
Evaluate n ! (–12) for each value of n.
"4 ! ("1)
3.
8
"29
7. 7 ! ("14) ! 9
"4
"5 "4 "3 "2 "1
1. 19 ! ("11)
of n.
Holt Middle School Math Course 1
39
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Reteach
9-4 Adding Integers
Holt Middle School Math Course 1
Challenge
9-4 Time Adds Up
LESSON
LESSON
Two-color counters can help you understand integers.
!1
Solve the addition problems below to find the date each toy or
game was invented. Then use those dates to label the time line
at the bottom of the page.
"1
Invention
One positive counter and one negative counter is called a zero pair
because together they have a value of zero.
Addition
Date
Frisbee
50 ! ("2)
1948
Pogo Stick
"11 ! 32
1921
Crossword Puzzle
"1 ! 17 ! ("3)
1913
Skateboard
"43 ! 101
1958
Yo-Yo
38 ! ("9)
1929
Rollerblades
"25 ! 105
1980
Teddy Bear
"2 ! 8 ! ("3)
1903
Slinky
50 ! ("4)
1946
1.
zero pair
2.
1 ! ("1) = 0
You can use two-color counters to find the sum of integers.
To use counters to find the sum of "3 and 5, model the addition
expression first.
3.
4.
Then remove all the zero pairs.
5.
6.
The remaining counters represent the sum.
"3 ! 5 # 2
7.
Use counters to find each sum.
1. "4 ! 7
2. 4 ! ("8)
3
"4
5. "2 ! 7
6. 5 ! ("6)
5
"1
9. 9 ! "12
"3
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
3. "3 ! "6
"9
"2
7. "8 ! ("3)
"11
10. 4 ! ("10)
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Time Line of Toys and Games
12
12. 6 ! "5
"13
1
40
Check students’ time lines.
8. 10 ! 2
11. "8 ! "5
"6
8.
4. "3 ! 1
1900
Holt Middle School Math Course 1
1910
1920
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
98
1930
1940
1950
41
1960
1970
1980
1990
2000
Holt Middle School Math Course 1
Holt Middle School Math Course 1