The Number System – Review Sheet
Period_____
Name____________________
Date_____________________
Match the vocabulary words below.
1.
_____Counting Numbers
2.
_____Whole Numbers
A. The distance a number is from zero on number
line.
B. Whole numbers larger than zero. 1, 2, 3,4…
3.
_____Rational Numbers
C. Non-repeating, non-terminating decimals.
4.
_____Irrational Numbers
D. Counting numbers plus zero. 0, 1, 2, 3…
5.
_____Integer
E. A number that can be written as a fraction.
6.
_____Absolute value
F. Positive and negative whole numbers.
Order the following integers from least to greatest.
7.
-8, 36, 0, -21, 2, -36, -19, 24, -2
________________________________________________________
–27, 24, 3, -9, 26, 0, -1, -40, 69, -12
8.
________________________________________________________
Compare the following integers. Use <, >, or =.
9.
-3
-8
10.
|-4|
-4
11.
17
|17|
12.
-5
0
Cavallaro 15-16
1
Assignments
State whether each number is rational or irrational. Explain your reasoning.
754.95621646…
13.
________________
________________________________________________________
–367.6
14.
________________
________________________________________________________
0.55555555…
15.
________________
________________________________________________________
16.
98.654654654…
________________
______________________________________________________
3
17.
________________
4
________________________________________________________
Solve:
5
+ −3
18.
-2
20.
−5 • 2
8
1
2
2
3
Cavallaro 15-16
1
19.
3
21.
2
6.41 - -2.018
45.6 ÷ -0.03
Assignments
22.
-3
3
4
÷ -2
1
2
23.
-3
2
3
− −8
1
5
Write an addition sentence using integers and solve the problems.
24. An elevator starting at the first floor goes up six floors then goes up five floors
then goes down four floors. On what floor is the elevator now?
25. A submarine was patrolling waters at a depth of 150 feet below sea level. To
check on a nearby ship it rose 25 feet. Realizing that it was a cruise ship, it dove
72 feet. What is the submarines current depth?
Fill in the blank:
26. The sum of a number and its opposite is ______________________.
27. When a negative number is multiplied by a positive number the product is a
______________________number.
28. When adding two integers with the same sign, we _____________ the
numbers and keep the sign.
29. When adding integers with different signs we find the ________________
between the numbers and use the sign of the ________________________.
30. When a negative number is multiplied by a negative number the product is a
_____________________ number.
31. When a positive number is divided by a negative number the quotient is a
_______________________ number.
Cavallaro 15-16
3
Assignments
Perform the indicated operation.
32.
26 + -4 = _____
39. -22(-9) = _____
33. -29 + -19 = _____
34. |-11| + -12 = _____
36. −
5
-
1
2
= _____
3
41. -4 • -3 • 7 = _____
35. -18 - (-13) = _____
2
1
40. -5 ÷
5
1
42. −2 ( ) = _______
6 3
= _____
37. 29 - -8 = _____
43.
−1
1
6
1
- (−4 )= _______
4
38. -5 • +8 = _____
SHOW WORK
44.
46.
(-3 + 9) - (-2 - -6)
45.
3 - |-4 - -6|
-6(4 + -7)
47.
6(3 - -5) + -8
Cavallaro 15-16
4
Assignments
48.
43 ÷
50.
(-8)2 –
4 + 26
100 • -2
9 • 10 + 6 • 13
49.
( 169 + 87) ÷   5 2
51.
Evaluate the following.
52.
190=
______
56.
53.
 63 =
81 =
144 =
(0.6)3 =
______
______
64.
55.
9 = ______
______
63. 57.
54.
225 -
58.
 2
 
 3
3
=
______
______
59. Give the two consecutive whole numbers between which the √57 lies.
Cavallaro 15-16
5
Assignments
60.
9 +
16 =
9  16
=
Explain the difference?
__________________________________________________________
__________________________________________________________
Describe the following properties.
61. ________Commutative Property
of Addition/Multiplication
A. The grouping does not change the
sum/ product.
62. _______Associative Property
of Addition/Multiplication
B. The product of a number and its
reciprocal is 1.
C. The order does not change
the sum/product.
Write an equivalent expression for each property.
63.
Commutative property: 4 x 7 x 2 = _________________________
64.
Associative property:
65.
Commutative and associative: (7 + 3) + 4 = _________________________
66.
Distributive property: 3(9 – 2) = __________________________________
Cavallaro 15-16
(13 · 2) · 8 = ______________________
6
Assignments