Download Revisiting Numbers Common Assessment (8th grade) Page 1 of 5

Revisiting Numbers Common Assessment (8th grade)
Name __________________________
Score _______________ / 40 pts.
1. Match each of the following terms with its definition, by writing the correct letter in each blank.
(6 pts.)
A. Natural Numbers
B. Whole Numbers
C. Integers
D. Rational Numbers
E. Irrational Numbers
F. Real Numbers
____
Any number that cannot be written as a ratio of integers: ,
____ The following set of numbers: 0, 1, 2, 3, 4, ...
____ The rational and irrational numbers combined
____ The “counting numbers”: 1, 2, 3, 4, ...
____ The whole numbers, their opposites, and zero: ..., -3, -2, -1, 0, 1, 2, 3, ...
____
Any number that can be written as a ratio of integers
2. Rational or Irrational
a. Indicate the location of the following numbers on the number line by drawing an arrow from each value to
its most accurate spot on the number line. (3 pts.)
b. For each number written in the chart, put a checkmark in the correct column. (3 pts.)
Given Number
Rational
Irrational
0.3

2.5 2
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Revisiting Numbers Common Assessment (8th grade)
3. Identify the property illustrated in each of the following examples, by writing the correct letter in each blank.
(9 pts.)
A. Associative Property
B. Commutative Property
C. Distributive Property
D. Identity Property
E. Zero Property
___ (19 + 75) - 380 = 19 + (75 - 380)
___
63 0 = 0
___
914 + 0 = 914
___
634 + 19 = 19 + 634
___ 9 (100 + 50) = (9 x 100) + (9 x 50)
___ 1 576 = 576
___
(7) (
___ (19
)=(
5) 2 = 19
) (7)
(5
2)
___ 415 (0) = 0
4. Find the square root of each number. (2 pts)
a.
b. -
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Revisiting Numbers Common Assessment (8th grade)
5. One Astronomical Unit (AU) is the average distance from the earth to the sun, which is about 1.496
a. How many kilometers is 1 AU, written in standard form? (1 pt.)
108 km.
b. On February 7, 1999, NASA launched a spacecraft called Stardust. On April 18, 2002,
the spacecraft reached a major milestone when it reached a distance of 2.72 Astronomical Units from
the sun. This is the farthest distance ever reached by a solar-powered spacecraft.
(Remember that 1 AU = 1.496 108 km.)
How many kilometers was Stardust from the sun on April 18th? Write your answer in scientific
notation. (2 pts.)
6. The comet particles are extremely small: about
Write
of an inch in diameter.
as a decimal and then write that answer in scientific notation. (2 pts.)
7. Find the solution to each of the problems. Express your answer in scientific notation. (4 pts.)
a. (2.3 x 10 3 ) + (6.9 x 10 3 )
4
2
b. (6.1 x 10 ) - (2.43 x 10 )
3
5
c. (2.4 x 10 ) ( 1.5 x 10 )
d. (3.6 x 10 7 )
(1.2 x 10 3 )
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Revisiting Numbers Common Assessment (8th grade)
Multiple Choice: For problems 8 – 11, choose the letter that best answers each question. Write the letter in the
blank provided. SHOW YOUR WORK.
____ 8. Which of the following expressions is equal to 30? (1 pt.)
a.
28 - 7 x (30
6)
b.
28 + 7 - (30
6)
c.
28 x 7
d.
28 + 7 x (30
(30 - 6)
6)
____ 9. While in Tokyo, Callie spent 547,000 Japanese yen for a strand of pearls. The cost os the pearls was
equivalent to $ 5,000 in US currency. At the time of Callie’s purchase, how many yen were equivalent
to $ 20 in US currency? (1 pt.)
a.
109 yen
b. 2,188 yen
c.
5,470 yen
d. 27,350 yen
____ 10. The
a.
is located between which two integers listed below? (1 pt.)
5 and 6
b. 7 and 8
c.
8 and 9
d. 9 and 10
____ 11. The
a.
is closest to ?_ (1 pt.)
13
b. 14
c.
15
d. 16
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Revisiting Numbers Common Assessment (8th grade)
12. If 8 out of 20 students in a class are boys, what percentage of the class is made up of boys? SHOW YOUR
WORK. (2 pts.)
13. Jenny has $300 and she spent 20% of that money. How much of her money did she spend? SHOW YOUR
WORK. (2 pts.)
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