Name: Date: Cumulative Practice
for Chapters 1 and 2
Write the prime factorization of each number in exponential notation.
1. 30,375 2.29,400
Simplify each expression. Write your answer in exponential notation.
2
 3
 7
2
3
3
3
4. (m 5 m 7 )4 (3m 2 )3
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3.
 3  3
 7  7
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Name: Date: Simplify each expression. Write your answer using a positive exponent.
5.
74 134
(8 )
0 4
5
5
4 (5 ) 5
2
0
6.
5
0 3
(6 )
3
3 4
12
7. (16 4 ) 4 8. (816 813 ) 3 3
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3 9
9. 123 0
2
5 12
4
5
10. 85 (60 )5  1 
 2
5
35
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Name: Date: Evaluate the square roots of each number. Round your answer to the
nearest tenth if necessary.
11. 529
12.
1,056.2
Evaluate the cube root of each number. Round your answer to the nearest
tenth if necessary.
13.
64
343
14.
2734.2
Evaluate each expression and write your answer in scientific notation.
Identify the greater number.
16. 7.4 104 6.5 105 and 3.6 105 7.6 106
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15. 2.28 1012 2.69 1012 and 8.63 1012 4.09 1012
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Name: Date: Evaluate each expression and write your answer in scientific notation.
Identify the greater number.
17. 4.8 108 5 108 and 7.3 106 4 103
4
6
6
6
18. 8.4 10 (7 10 ) and 7.5 10 (1.5 10 )
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Write each measurement in the appropriate unit in prefix form.
19. 0.000000043 meter
20. 0.000093 second
21. 42,000,000,000 hertz
22. 69,000 bytes
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Name: Date: 23.
he Great Pyramid of Khufu in Egypt is one of the Seven Wonders of
T
the Ancient World. It is built on a square base with an approximate area
of 53,065.73 square meters. What is the approximate side length of the
square base? Round your answer to the nearest tenth.
24.
10
he volume of the Moon is approximately 2.1958 10 cubic kilometers.
T
Find the radius of the Moon, in kilometers, in scientific notation. Round
the coefficient to the nearest tenth. Use 3.14 as an approximation for p.
25. The weight of an empty box is 56.7 grams. If there are 940 feathers with unit
weight of 0.000567 kilogram in the box, find the total weight, in kilogram,
of the box with 940 feathers inside. Write your answer in scientific notation.
Round the coefficient to the nearest tenth.
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Solve. Show your work.
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Name: Date: Solve. Show your work.
26. The table lists the speed of movement of two different types of
microorganisms.
Microorganism
Speed of Movement
A
7 mm/s
B
180 m m/s
a)Write each speed in meter per second, using scientific notation. Round
the coefficient to the nearest tenth if necessary.
b)Which microorganism moves at a slower speed?
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c)Find the difference in their speed of movement, in meter per second.
Write your answer in scientific notation and round the coefficient to the
nearest tenth if necessary.
27. The diagram below shows the rate at which 5 bacteria multiply in minutes.
1 minute
2 minutes
3 minutes
How many bacteria are there in 15 minutes? Write this number in exponential
form and evaluate.
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