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Unit Test Review – The Number System
The Unit Test will be on Wednesday, March 12th and Thursday, March 13th. Extra help is
available after school on Tuesday, March 11th.
Part 1 – Vocabulary (4+ points). Define the following terms:
Absolute Value-
A number’s distance from zero
Additive Inverses-
Two numbers whose sum is zero. Opposites.
Irrational Number-
A number that cannot be expressed as a fraction.
Multiplicative InversesOpposites-
Additive Inverses
Rational NumberReciprocals-
Two numbers whose product is zero. Reciprocals.
A number that can be expressed as a fraction.
Multiplicative Inverses.
Part 2 – Real Number Sets (8 points). Identify what set(s) a number belongs to:
-4.2
Rational
9
Natural
½
Rational
-65
Integer
0
Whole
1
Natural
√4
Natural
0. 3̅
Rational

Irrational
6
Natural
3
The Real Number System
Rational Numbers
Integers
Irrational
Numbers
Whole Numbers
Natural
Numbers
What is the only difference between Natural and Whole Numbers?
Zero
Part 3 – Properties (5 points).
Match the Property to its example:
1. Commutative Property of Addition C
2. Commutative Property of Multiplication G
3. Associative Property of Addition E
4. Associative Property of Multiplication A
5. Additive Identity B
6. Multiplicative Identity F
A.
B.
C.
D.
E.
F.
G.
9  (4  3) = (9  4)  3
25 + 0 = 25
(32 + 10) = (10 + 32)
5 (12 + 6) = (5 x 12) + (5 x 6)
(7 + 7) + 10 = 7 + (7 +10)
61=6
60 x 12 = 12 x 60
7. Distributive Property D
Part 4 –Order of Operations (4 points).
Solve and show your work:
3. (2 + 3) + 1  4 =
5+1*4
5+4
9
1. 15 – 10 ÷ 2 =
15 – 5
10
2. 30 + 5  4 =
30 + 20
50
4. 32 – 3  2 =
9–3x2
9–6
3
Part 5 – Operations with Integers (16 points).
Solve and show your work:
1. 4 + (-5) -1
6. 4  (-5) -20
2. (-12) + (-10) -22
7. (-12) (-10) 120
3. (-30) – (-5) -30 + 5 = -25
8. (-30) ÷ (-5) 6
4. (-6) – 10 -6 + -10 = -16
9. -6  10 -60
5. 22 – (-6) + (-2)
22 + 6 + -2 = 28 + -2 = 26
10. 22 – (-6)  (-2)
22 – 12 = 10
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Part 6 – Operations with Decimals (4 points).
Solve and show your work:
1. 84.35 + 89.7 174.05
3. 284.11  43.7 12,415.607
2. 639.4 – 43.21 596.19
4. 67.2 ÷ 2 33.6
Part 7 – Operations with Fractions (4 points).
Solve and show your work. Be sure to express your answer in simplest form:
1.
3
4
8
2
× 15 =
2
7
2. (−1 9) × 1 11 =
3.
3
4
7
5. (−1 9) ÷ 18 =
6.
3
4
10
5
15
+ 45
1
÷ (− 16) =
7. 2 8 −
1
8. 6 2 − (−5 3)
1
3
4. 2 2 ÷ 3 4 =
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4
2
Part 8 – Converting, comparing and ordering rational numbers (10 points).
Convert the following decimals to fractions or mixed numbers in simplest form:
1. .25 1/4
2. 1.625 1 5/8
3. -4.8 -4 4/5
Convert the following fractions or mixed numbers to decimals:
4.
3
5
7
0.6
5. -18 -1.875
6.
11
15
Fill in the blank with less than (<), greater than (>), or equal to (=):
7.
1
8
_____
1
3
9. 6 12 _____ 6.25
9
7
1
10. 9 _____ 0.7
8. − 4.25 _____ − 4 3
After carefully completing this review guide, I am still confused about:
I will take the following steps to be sure that my questions above are answered:
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