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```Name _____________________________ Date ________ Hour ______
Number Sense
Rocky
7.NS Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent
addition and subtraction on a horizontal or vertical number line diagram.
Using the number below, add the following sets of numbers. The last three are challenge problems that go outside
of the number line given, but the rules still apply.
1. 3 + 1
2. -2 + -3
3.
4 + -1
4. -8 + -3
5. -3 + 1
6.
7.
-5 + -5
8. 0 + -3
9. -15 + -20
10.
11.
-30 + 18
12. 13 + 24
4 + -1
8 + -35
For the next group, draw positive and negative pairs to solve your problem.
13. 4 + 2
14. -1 + -5
15.
7 + -3
16. -2 + -9
17. -8 + 0
18.
19.
-3 + -3
20. 0 + -1
-7 + -4
Commutative
Associative
Identity
Distributive
Match the property to its description.
a(b + c) = a(b) + a(c)
a+b=b+a
23. Identity Property
0+a=a
24. Distributive Property
(a + b) + (c) = (a) + (b + c)
Name the property shown.
25. 9 + 0 = 9
26. 2(4) + 2(3) = 2(4 + 3)
27. (2 + 5) + 7 = 2 + (5 + 7)
28. 9 + 1 = 1 + 9
29. 11 + 5 = 5 + 11
30. 10(3 + 5) = 10(3) + 10(5)
What is the sum of the card values shown? Use the counting on method on the provided number line to justify your
5
2.
3.
4.
5.
6.
−4
8
a.
What is the final position on the number line?
b.
What card or combination of cards would you need to get back to 0?
Integer Loops
1.
−5
2
4
-7
-5
-1
8
-6
7
9
-7
-2
-4
10
-5
-5
5
0
-8
3
9
5
5
-4
1
```