Download Name - White Plains Public Schools

Name: ___________________________________________
NUMBER THEORY: Day 11 – Test Review ADV
Date: _______________
Per.: ____
PART 1: You many NOT use a calculator for these questions
A. Write the value of each in exponential form:
4
1) 10 • 10 • 1000 • 10
4) 47 • 45 • 4
6)
1
100,000
5
_______
2)
25 x 5 y 7
_______
5 x  2 y10
3)
3c 3d 9
12c  3d 3
_______
5) (2xy4)3 (2x6y2)_________
_________
_________
7) 0.001 __________
8) a2•b4•a8•c3 _______________
B. Write the numerical value of each:
9) 24
12)
________ 10) 104 • 10,000 • 103
10 6
___________
10 8
13) 70
___________ 11) 10-7
__________
___________
14) 10,000 ÷ 1000 __________
C. Write each value in scientific notation:
14) 30,400,000,000 ___________________ 15) 0.00000000072 ____________________
16) 0.000002 ________________
17) 400,000,000 ____________________
D. Write each in standard form:
18) 6.3 x 105 ___________________
19) 9.1 x 10-6 ___________________
E. Rewrite each set of numbers, in order, from LARGEST to smallest:
20) 6.02 x 103
21) 2.0 x 10-3
22) 8.43 x 10-6
4.79 x 107
2.0 x 10-5
2.7 x 103
9.3 x 103
3.5 x 10-2
8.43 x 10-3
___________________________________
____________________________________
___________________________________
23) Which of the following has the same value as
10-4 ?
Show work or explain why:
a) 0.001
b) 0.0001
24) Julian wrote the four numbers below in
scientific notation.
5.5 x 10-5
1.2 x 103
2.8 x 10-6
7.4 x 102
Which number has the greatest value?
c) 10,000.
a) 5.5 x 10-5
d) 100,000.
Show work or explain why:
b) 1.2 x 103
c) 2.8 x 10-6
d) 7.4 x 102
25) What value for n will make the statement true?
130 = 1.3 x 10n
a) -2
Show work or explain why:
b) 1
c) 2
d) 3
27) What is the quotient of
a) 100
10 6
?
10 8
Explain why:
26) The population of the United Sates is
approximately 300 million. What is the population
written in scientific notation?
a) 3.0 x 108
why:
b) 3.0 x 106
c) 300 x 108
d) 300 x 106
Show work or explain
28) Which of the following statements is true?
a) 5.67 x 10-5 < 5.67 x 10-3
b) 3.45 x 107 > 2.89 x 108
b) 10
c) 6.7 x 10-4 > 1.2 x 102
c) 0.01
d) 2.3 x 10-5 < 3.44 x 10-7
d) 0.001
Explain why:
PART 2: You MAY use a calculator for these questions
29) The radius of the Earth is 6.38 • 103 km and the radius of Saturn is 6.0 x 104 km.
a) Which planet has the smaller radius? ________________________
b) How much smaller is it’s radius?
Write your answer in standard form ___________________________
Show your work:
30) The table shows the lengths, in inches,
of some very small creatures.
a) Which creature has the smallest length?
Length, in inches
Water flea
7.8 x 10-3
Spider mite
3.8 x 10-2
____________________________
b) How much smaller is its length?
Write your answer in standard form
Show your work!
________________________
32) The table shows the highest and lowest elevations
in the United States.
Write the numbers, in standard form, of the highest
and lowest elevations.
Highest elevation: _________________________
Lowest elevation: ___________________________
Elevations in U.S.
Mt. McKinley
Alaska
Death Valley,
California
2.03 x 104 ft.
-2.82 x 102
ft.