Name: ____________________________
Rational #’s and Operations – Subtraction Myth
Date: _________
PreAlgebra
Sheet # 03-06
Exploring the “Subtraction Myth” with the Integer Game - Ms. Bisal’s class is playing the integer card game. A few of
her students’ rounds are shown below. Please fill in all missing spaces. The first player’s information has been completed for you.
Player
Total
Action
Number Sentence
1
7
Discard 4
7–4=3
1
What is the relationship between subtracting an
integer and just adding its inverse? Use the
players’ rounds to justify your response.
Model the number sentence on the number line above to check
your result.
Describe what happened to the value of the hand.
2
Write − 7 − 4 as an addition expression.
Expression ______________
Player
2
Total
7
Action
Number Sentence
3
Select -4
Model the number sentence on the number line above to check
your result.
Describe what happened to the value of the hand.
4
Which of the following expressions is represented
by the number line below?
A
−4+3
C
3 + (−7)
B
−4+7
D
0 + (−7)
Write 2 − 4 as an addition expression.
Expression ______________
Player
Total
Action
3
-8
Discard 2
Number Sentence
5
(a) Write the addition expression that is modeled
on the number line below.
Expression ______________
(b) Write the subtraction expression that is
modeled on the number line below.
Model the number sentence on the number line above to check
your result.
Describe what happened to the value of the hand.
Player
Total
Action
4
-8
Select -2
Number Sentence
Model the number sentence on the number line above to check
your result.
Describe what happened to the value of the hand.
Expression ______________
Player
Total
Action
Number Sentence
Player
Total
Action
Number Sentence
5
3
Select 2
3+2=5
6
3
Discard -2
3 – (-2) = 5
Describe what happened to the value of the hand when you add a
positive.
6
When we see double negatives, how can we rewrite them to make our lives simpler?
Basic Skills Practice
21
For #’s 7 – 34: Simplify.
7
Describe what happened to the value of the hand when you
subtracted a negative number.
7−9
14
− 10 − 4
15
−7 −8
16
− 20 − (−5)
17
25 − (−14)
18
15 − 65
19
20 − (−6)
20
− 7 − ( −7 )
30
12 − (−5) − 8
15 − (−7)
31
15 − 7 − (−11)
−3−8
32
− 2 + (−6) + 5
10 + (−5)
33
25 + (−5) − (−2)
19 − (−10)
27
13
− 6 − (−8) + 6
− 13 + (−13)
26
12
29
− 75 − 50
25
11
−3−2
− 8 − (−6)
24
10
9 + 6 − ( − 2)
13 − 18
23
9
28
0 − 12
22
8
21 + (−16)
5−2
0 − (+10)
34
− 4 + 5 − 20 − ( −6)
Name: ____________________________
Rational #’s and Operations – Subtraction Myth
Going Deeper
For #’s 35-42: Simplify.
35
Date: _________
PreAlgebra
43
What is the value of the expression below?
41
46
38
What is the value of the expression below?
40
45
37
What is the value of the expression below?
39
44
36
Sheet # 03-07
Describe and correct the error in
finding the difference of 7 – (-12).
42
(a) Write an addition sentence to represent the
47 number line below.
Sentence _____________
(b) Write a subtraction sentence to represent
the number line below.
Sentence _____________
48
The floor of the shallow end of a swimming pool
is -3 feet. The floor of the deep end is 9 feet
deeper. Which expression can be used to find the
depth of the deep end?
H.O.T. Problems Higher Order Thinking
Circle the integer below that will make this
55 number sentence true.
− 5 − (?) = −3
-8
49
A shark is at -80 feet. It swims up and jumps out
of the water to a height of 15 feet. Write a
subtraction sentence for the vertical distance the
shark travels.
56
-2
2
One of these things is not like the other…
Which expression does not belong with the other
three? Explain your reasoning.
Sentence _______________
50
Ty entered the elevator on the 10th floor. He rode
up 3 floors, down 7 floors, up 2 floors, down 5
floors, and up 6 floors where he got off. On what
floor did Ty get off the elevator?
Answer ___________
57
51
Describe and correct the error in
finding the difference.
An American football team gains the following
distances, in yard, on the eight plays of their
drive: 2, -3, 24, -3, 20, 6, -6, 4. What is the total
gain of the drive?
Answer ___________
52
53
A football team gained 4 yards on first down, lost
3 yards on second down, and gained 2 more yards
on third down. On fourth down, they lost 5 yards.
On which down does the integer -5 represent the
situation?
A first
C third
58
B second
D fourth
Which subtraction sentence is shown by this
model?
59
54
A
− 5 −1 = 4
C
− 1 − 4 = −5
B
− 5 − 4 = −1
D
− 5 − (−1) = 4
2
1
−6
3
8
11
−3
24
Simplify: 2
A
B
3
11
24
60
C
−4
D
4
1
5
1
5
The figure shows a
diver diving from a
platform. The diver
reaches a depth of 4
meters. What is the
change in elevation of
the diver?
Write two different pairs of negative integers , x
and y, that make the statement x − y = −1 true.
Evaluate the expression: